Mechanical devices to control, limit and attenuate shocks, vibrations and seismic movements in buildings, equipment and piping networks

Size: px
Start display at page:

Download "Mechanical devices to control, limit and attenuate shocks, vibrations and seismic movements in buildings, equipment and piping networks"

Transcription

1 Seismic Control Systems 47 Mechanical devices to control, limit and attenuate shocks, vibrations and seismic movements in buildings, equipment and piping networks V. Serban, M. Androne, A. G. Ciocan & A. M. Zamfir Subsidiary of Technology and Engineering for Nuclear Projects, Bucharest-Magurele, Romania Abstract The paper presents new types of mechanical devices developed by SITON and SIGMA SS companies in cooperation with other units in Romania, by means of which to control, limit and damp shocks, vibrations and seismic movements in buildings, equipment and pipe networks. The new devices, called SERBdevices can sustain large static loads to which dynamic loads may be superimposed and be damped. The devices allow cutting-off the dynamic action in-coming from the environment to the protected systems (building, equipment, pipe network, etc) and the sustaining of shocks and vibrations generated by the systems to protect the environment. The devices may have high relative displacements, with or without restoring force, allowing thus the performance of a good isolation of the components against the dynamic action, also sustaining the displacements due to thermal expansions or support yielding. The hysteretic force has the form with consolidation for effective control and limits the degradation of the structure. The devices are made of materials that are practically not affected by the aging phenomenon and relative large temperature variations and may be guaranteed throughout the service-life of each unit, without maintenance or repair. The devices are small in size if compared with the existing ones for similar performances. The radiation resistance capacity is very good and therefore allows their use in nuclear-power plants. Keywords: shocks, vibrations and seismic movement, control, limitation, damping, base isolation systems. doi:10.495/ / 05

2 48 Seismic Control Systems 1 Introduction Buildings, equipment and pipe networks are generally affected by shocks and vibrations generated by the operation of equipment or fluid flow through pipe networks. Additionally, on sites with average or high seismic activity, seismic movements need to be considered in the design of equipment, pipe networks and buildings. Such shocks and vibrations affect the proper operation of the technological equipment and components, damage the buildings structure where they are installed in and generate waves and noises that propagate to the environment, affecting the foundations of sensitive equipment and components, and also generate a discomfort for the operation personnel and for the occupants of buildings. Depending on their generating source, shocks and vibrations evidence strong different dynamic characteristics and the elimination or reduction of their effects may be obtained only by special solutions applicable to each individual case, after having analyzed excitation kinetic characteristics. This paper is a presentation of SERB-SITON solution application to enhance the safety level of components against shocks, vibrations and seismic movements. The new SERB supports and devices for components are developed on basis of the Romanian Invention Patent no (Serban [1]) and Patent request nr. A/01093/ (device to protect a structure to overload [8]), now in the process of being internationally protected. The first industrial application related to shock and vibration reduction was in 003. It was aimed to isolate a 150 kgf forging hammer located in the Forging Workshop (IUS Brasov, Romania) and the inlets and outlets of a pressurized air pipe []. Subsequent applications, among others, were: another 150 kgf forging hammer from IUS-Brasov; the strengthening of a ground floor and 5-stories building with reinforced concrete frame structure (NAVROM Galati-Romania) and the isolation of 5 electrical cabinets from Heavy Water Production Plant in Drobeta-Turnu Severin, Romania. One of the high quality isolation from noises, shocks, vibrations and seismic movement is the new solution applied to CETAL (Integrated Center for Laser Advanced Technologies [9]). The isolation assures the reduction of the amplitude vibration to values smaller than 3x10-6 m/s [9]. SERB supports and devices are certified in Romania by TECHNICAL AGREMENT / [3]. The systems response to dynamic actions The effect of shocks, vibrations and seismic movements on buildings, equipment, pipe networks, etc. herein called systems, is dependent on both the intensity of the dynamic action and the response of the systems at dynamic actions. The excitation may transfer to the system a quantity of energy per oscillation cycle equal or smaller than the energy corresponding to one

3 Seismic Control Systems 49 oscillation cycle, depending on the harmonization or dis-harmonization of the system eigen-motion with the dynamic action. In order to see how the total dynamic loading (action + response) acting to a system may be reduced, the authors analyzed the behavior of the dynamic response of a SDOF oscillating system in the frequency domain, subjected to a harmonic dynamic action, (Serban et al. [4]). Consider a simple SDOF oscillating system with a mass m, damping c (proportional to the vibration velocity), and stiffness k (proportional to the relative displacement). The oscillating system is subjected to an oscillating movement of the support, represented by u s (t), which, in the analysis, is approximated with a harmonic, T s -period movement, in the form: u s t Asin t, (1) The equations of motion of the oscillating system, written in terms of relative displacement x(t), and the total displacement y(t), respectively, are: x t x t x t a sin t (a) y t y t y t Asin t A cos t (b) with the initial conditions: x 0 0, x 0 v ; 0 y 0 0, y 0 0 (3) where v 0 is the relative initial velocity that is equal with and in opposite direction to the support velocity at t = 0, the critical damping ratio and ω the angular frequency. The amplitudes of the kinetic and elastic energies specific to the mass of the oscillating system versus the source energy amplitude E s (Serban et al. [5]) are: r r E ( 4 ) c E, r s W ( r 1) 4 r p E (4) s ( r 1) 4 r For an oscillating system to respond to dynamic loads with smaller or equal amplifications than the static loads of the same intensity (without amplification), it is necessary that the amplitude of the kinetic and elastic energy built-up in the oscillating system be smaller than or equal to the excitation energy: E c E s and W p E s. For the kinetic energy the relation is: 1 or r T, T s irrespective of the oscillating system damping. The condition that the maximum elastic energy amplitude of the oscillating system is smaller than or equal to the maximum energy amplitude of the source per oscillating cycle which is dependent on the oscillating system damping and it corresponds to an oscillating system vibration period greater than 1.41T s. Figs. 1 and illustrate the variation of the kinetic and elastic energy amplitude of an oscillating system for = 5% and = 0%, respectively. Analyzing the diagrams, it becomes clear that the most efficient solution to reduce the total energy of a system subjected to dynamic actions is to make an elastic connection with optimum damping (30% recommended) at the level of the anchoring point. T s

4 50 Seismic Control Systems Ekin Wpot 1000 Kinetic and Potential energy ratio = T/Ts Figure 1: The kinetic and elastic energy amplitudes related to excitation ones; critical damping ratio = 5%. Ekin Wpot 1000 Kinetic / potential energy ratio = T/Ts Figure : Kinetic and elastic energy amplitudes related to excitation ones; critical damping ratio = 0%. a) For an oscillating system with 5% damping, the kinetic and elastic energy built-up in the system is 100 times greater than the energy of the excitation for resonance T = T s and only about 10 times greater at the system vibration period which is different from the excitation oscillation period by 0%. For T/T S =, E C is 4 times smaller than W P of the system. b) For a 0% damping of the oscillating system, the kinetic and elastic energy built-up in the system from the source is about 8 times greater than the energy of the excitation for resonance T = T s and only about 5 times greater than the system vibration periods which are different from the excitation oscillation periods by 0%. For T/T S =, the amplitude of the kinetic energy of the system is 10% of the amplitude of the source energy for 5% damping and about 15% for 0% damping; this demonstrates that an increase of the damping capacity of the

5 Seismic Control Systems 51 oscillating system leads to the increase of energy accumulated in the system, including his response in this area. For better understanding the phenomenon of energy transfer from the excitation to the oscillating system, an analysis of this power transfer is given below. The amplitude of the power transferred from the excitation to the oscillating system and that of the dissipated power of oscillating system for the system unit mass, is: 3 4 Pe P s, ( ) 4 P d P (5) s 4 Figs. 3 and 4 show the amplitude variation of the power transferred from the excitation to the oscillating system and the amplitude of the power dissipated by the oscillating system for a mass unit of the oscillating system as functions of the ratio between the oscillating system period and the period of the excitation for 5% and 0% of the critical damping, respectively. Pd Pe 100 Damping and Seismic ground power ratio = T/Ts Figure 3: Power amplitude transferred from the excitation to the oscillating system and dissipated power amplitude in the oscillating system; critical damping ratio = 5%. Pd Pe 100 Damping and Seismic ground power ratio = T/Ts Figure 4: Power amplitude transferred from the excitation to the oscillating system and dissipated power amplitude in the oscillating system; critical damping ratio = 0%.

6 5 Seismic Control Systems The amplitude elastic, damping and total seismic force becomes: F e u - elastic force; (6) ( ) 4 F d u - damping force; (7) ( ) 4 F s 4 u - total force. (8) ( ) 4 Figs. 5 and 6 show the amplitude variation of the damping, elastic and seismic forces transferred from the excitation to the oscillating system as a function of the ratio between the oscillating system period and the period of the excitation, for 5% and 30% critical damping, respectively. These graphs demonstrate that increasing the damping of the oscillating system (β) leads to the increase of damping force in the system, especially in the isolation range. Analyzing the diagrams, it becomes clear that the amplitude of the power transferred from the excitation source to the oscillating system is practically equal to the amplitude of the excitation power for oscillating system vibration periods smaller than 0.4T s. For example, the very good behavior of the block of flats made of prefabricated elements in Bucharest during an earthquake in 1977 is a confirmation of the phenomenon from a real case. For vibration periods greater than 0.4T s, the oscillating system starts to build-up energy by the transferred power and the amplitude of the dissipated power reaches 1% of the excitation power amplitude (for 5% of critical damping ratio). 3 Technical solutions to reduce the systems response to dynamic actions 3.1 Theoretical aspects The analyses carried out in section show that: the dynamic response amplitude of a system to a repeated dynamic action depends on the amount of energy transferred from the dynamic action to the oscillating system and the amount of energy accumulated in the oscillating system associated to the structure. To reduce the seismic response of a system to a repeated dynamic action the following effects must be achieved repeatedly. 1. The energy transfer in an oscillation cycle from the dynamic action to the oscillating system has to be minimal.. The amount of energy (kinetic and potential) accumulated in the oscillating system has to be minimal. 3. The amount of energy dissipated by the oscillating system in a vibrating cycle has to be maximal. These issues cannot be addressed simultaneously.

7 Seismic Control Systems 53 Figure 5: Variation of damping, elastic and seismic force amplitude transferred from the excitation to the oscillating system versus period ratio; critical damping ratio 5%. Figure 6: Variation of damping, elastic and seismic force amplitude transferred from the excitation to the oscillating system versus period ratio; critical damping ratio 30%. According to the relation between the oscillating system s own vibrating period and the forcing cycle period, several situations can be met. In all these situations there should be borne in mind that the power transfer from the dynamic action to the oscillating system mass is accomplished by both elastic and damping forces and the energy dissipation of the oscillating system is accomplished only by damping forces. For this reason, there must be an optimum ratio of the two types of forces in order to get a minimum answer of the system to the repeated dynamic action. Possible situations in which one can find an oscillating system defined by its vibrating period T responding to the repeated dynamic action defined by the cycle period T S and the definition of these states are described next.

8 54 Seismic Control Systems 3. System flexible to the dynamic action T >> T S In this case the oscillating system is in isolation state when practically the dynamic action applied to the base is not transmitted to the system mass. In practical design cases, the condition T > 3T S shall be considered because the evaluation of T and T S is affected by calculation and measurement errors. We call this region of the response spectrum of the system dynamic response isolation region. In this region, small forces act on the oscillating system mass, a great percentage of these forces being represented by the damping force. The mass of the system is set in motion by the oscillation amplitudes which are much smaller than the excitation amplitude. This is due to the fact that the interaction forces (springing and damping) between excited flexible elements and oscillatory system mass are low and the mechanical work done by them and transferred to the oscillatory system does not practically lead to an increase in the energy accumulated in the system. In this case, if the damping forces are great, a large amount of energy is transferred in the oscillating system which leads to the increase of the seismic response unlike the case of the small damping system. In practical cases, the achievement of a damping capacity must be connected with the mass and stiffness of the oscillating system. Through technical design solutions, it is recommended that the damping of an oscillatory system, expressed in critical decay ratios (damping for which the system no longer oscillates) to be under 30%. 3.3 System rigid to the dynamic action T << T S In this case the oscillating system is in transport state when it is carried by the dynamic action and a relative deformation of the system is not realized. In practical design cases, T T S /3 is recommended accounting for the reason explained under case 1. For T = T S /3, the potential energy accumulated in the oscillatory system is about 10 times less than the energy of excitation in a cycle of oscillation and the kinetic energy of the oscillating system is practically equal to the energy associated with one oscillation cycle of the excitation. This region of the dynamic response of the oscillatory system is called transport region. In this state, the mass of the oscillating system has practically no motion relative to the support structure to which excitation is applied. In this case, the oscillating system is transported on either side of the equilibrium position without relative deformations. The oscillatory system mass does not have a movement relative to the basis (support structure), so there is no amplification or reduction of system response amplitude versus the excitation amplitude. In this situation, the damping of the systems does not influence the response of the oscillating system. 3.4 Elastic system to the dynamic action T T S In this case, the system is located in resonance state when the transfer of energy from the excitation to the oscillating system is maximum. The system response increases leading also to the growth of energy dissipation.

9 Seismic Control Systems 55 Amplification of the response settles at a maximum value when the energy transferred from excitation is entirely dispersed in the system. The system response is a maximum due to accumulation of energy from excitation. Maximum amplification occurs for T = T S but important amplifications occur for periods of vibrations of the system in the neighborhood of T S. In practical design cases, the resonance area is considered: T S / T T S. This region of the dynamic response of the system (response spectrum) is called region of resonance. In this region, almost all the energy of an oscillation cycle is transferred to the oscillating system (total transfer is accomplished for T = T S ). The energy transferred accumulates in the oscillatory system (part of it is dissipated) leading to an increase in the system acceleration, velocity and displacement response. The maximum response of the system in this case is heavily dependent upon the ability of damping expressed in fractions of critical damping. Due to the damping capacity, the maximum velocity and displacement response of the system is reached for T > T S depending on its critical damping ratio. In this region, the reduction of the oscillating system response can only be achieved if the damping capacity increases. In this case, as in case 1, the critical damping ratio of the oscillatory system is not recommended to exceed 30%. In the transport and isolation state, the oscillating systems do not have a high variation of the response with respect to their own vibration period; this, for many oscillating systems, may be due to the degradation of the materials of which the system is composed. Unlike these states, an oscillating system may be found in transient states in which an important change of the system response occurs with a variation of its period of vibration. These transient states are: transport-resonance and resonance isolation. Oscillating systems in these states change their response to avalanche depending on the modification of the vibration period. Changing the vibration period of an oscillatory system occurs when the state of stresses and deformations in the oscillating system components exceeds the limit of elastic reaction. For common materials, the degradation of an oscillating system has as an effect maintaining practically constant the elastic force for a large deformation of the material (yield) but the damping capacity increases. In this case, the force that transfers energy from the excitation to the oscillatory system mass does not remain constant and there is a growing dependence on damping capacity. This growth creates two phenomena with opposite effects on the dynamic response of the system. The first effect is an increase in total acceleration of the oscillatory system mass due to the enlargement of the interaction force resonance region and the second is to reduce the dynamic response of the oscillating system due to increasing the capacity of damping. According to the ratio of the two tendencies, the maximum acceleration of the system mass can drop or grow. This change of acceleration depends much on the position of the oscillatory system in nondegraded state opposite to the resonance area.

10 56 Seismic Control Systems For this reason, the dynamic response of an oscillating system grows by degradation if, in non-degraded state, it is in the transitory region of transportresonance and drops if, in non-degraded state, it is in the transit region of resonance-isolation. For the definition of these regions, it is recommended the overlapping with the technical resonance status also to be considered and to use as the limit T S rather than T S / or T S, respectively, because the transitional phenomena manifest themselves on both sides of T S. 3.5 The pre-resonance range The system is elastic and gains energy from excitability in avalanche regime. Accumulation of energy in the oscillatory system leads to an increase in dynamic response. If degradations appear in component materials in the system, the oscillating system is unstable and high amplifications of the dynamic response may appear to destroy it because this reduces the resistance capacity of the system materials at the time when the response of the system to dynamic forces increases. Dynamic amplifications of the system shall be reduced only if the natural period of vibration T has increased so much because of the degradation (reducing the rigidity) so that it becomes greater than the period of excitation cycle T s (in the case of earthquakes greater than T C ). The critical damping ratio is not increased so much in the oscillation system so that the effect of reduction is greater than the effect of amplification produced by the accumulation of energy in oscillatory system due to the proximity of the resonance region. This dangerous situation may appear in the building's seismic response so that, in their lifetime, they may be affected by slow earthquakes for which T C > 0.5 s up to s when the dominant harmonic component of the seismic movement T C (which was represented in the analysis as T S for a harmonic excitation) is greater than the vibrating period T of the non-degraded building. This case is not taken into account by the current seismic design code that results in the seismic response of building being usually underestimated for slow earthquakes, with negative consequences to the level of safety of constructions. This danger is very high for areas affected predominantly by slow earthquakes as are intermediate Vrancea earthquakes (in Romania) or earthquakes which are manifested in soft ground areas (in a large depth of field, ground layers are of alluvial type, non-consolidated and have a period of high vibration, as for example earthquakes of Kobe-Japan in 005). The seismic design concept for constructions throughout the world was imposed by the concept of design in Japan, New Zealand, USA, etc. which are countries affected by rapid surface earthquakes in which T C 0.3 s. Any construction of 3 or more levels does not enter this dangerous region of reaction/response, or if it does (those with fewer levels), constructions leave this region by increasing their own vibration period through a slight degradation. In this case, constructions auto-isolate towards fast earthquakes and their response is greatly reduced.

11 Seismic Control Systems The post-resonance range The system is elastic but receives from excitations less amount of energy than that of an oscillation cycle. This energy accumulates at a smaller amount in the oscillating system. If there are overloads of component materials, they lead to an increase of the vibration period of the oscillating system T and consequently its dynamic response is reduced. All high constructions affected by rapid earthquakes are situated in the postresonance or isolation region and through degradation (if these phenomena appear), their seismic response is reduced considerably. For this reason, the solution of acceptance of controlled degradations in constructions affected by rapid earthquakes, T C < 0.5 s, is a good one in terms of construction safety and saving human lives. Applying the same seismic design solutions for constructions in areas affected by slow earthquakes (as is the case in parts of Romania, where slow Vrance earthquakes occur) is a scientific and technically legalised error in seismic design codes (Code P100 in Romania). The solution to secure buildings against earthquakes with the acceptance of structural controlled degradations (plastic hinges) can be accepted only if the design ensures that the building structure can sustain, in terms of safety, relative level deformations which ensure the exit of the resonance region and the passage to the isolation zone where seismic response reduction shall be reached for the construction. 3.7 Practical aspects To reduce the dynamic response of a system, many solutions have been devised, which are applied selectively. A technical solution applied in particular to constructions is accepting controlled degrading which leads to a reduction in their rigidity so that the construction reaches the isolation region with respect to dynamic action. In this case, the relative level deformations must be under the ultimate limit of the construction resistance in order to achieve a minimum degree of safety. Another solution consists in the control of structural dynamic behaviour by means of special mechanical devices. These devices are inserted into the system and/or between the system and the support-structure; they allow the modification of the dynamic characteristics of the system and reduce its dynamic response without structural degradations having to appear in the systems. These devices must sustain high static and dynamic loads, allowing control of the systems deformations and have optimum damping capacity. Conceptually and practically, two types of devices have been developed for the control, limitation and damping of the dynamic response of a system: Devices for dissipation of energy and control of deformations of the system subjected to a dynamic action; Devices for the isolation of the system towards the dynamic action.

12 58 Seismic Control Systems These devices must meet a series of requirements so they do not affect the stability and safety of the system and the foundation. To satisfy such requirements, SITON and SIGMA SS has developed a new type of devices with geometric non-linear elastic characteristics and large damping, that are capable to sustain the static and dynamic loads and to selfadjust to the large installation deviations and errors (Serban [1, ], Serban et al. [6]). Such a device was developed on the basis of the Invention Patent no / protected by OSIM. SIGMA SS and SITON has been developing and applying the new method and technology to reduce shocks, vibrations and seismic movements in buildings, equipment and pipe networks for more than 0 years. The first industrial application was the isolation of forging hammers (36 tons each) against shocks, vibrations and seismic movements, located in IUS SA Brasov, in 003 (figs. 7 10) and 004 (figs and table 1) (Serban [8]). The operation of the isolation system in IUS-Brasov without maintenance and repairs for a period of 10 years represents a guarantee certificate for the new technology developed by SIGMA SS and SITON. Figure 7: IUS 003. Foundation. SERB-194-3C. Figure 8: IUS 003. Hysteretic curves for SERB-194-C. Figure 9: IUS 003. Wave shape recorded on the foundation in the old solution. Figure 10: IUS 003. Wave shape recorded on the foundation in the new solution.

13 Seismic Control Systems 59 Forta[kN] Suport Forja-lubrificat Forta-deplasare F=0000N, D=*10-3 m, k=10*10 6 N/m M=6000Kg, f n =6.5Hz Deplasare [mm] Figure 11: IUS 004. CM150 foundation as per SERB-375C. Figure 1: IUS 004. Hysteretic characteristic for SERB- 375C. Figure 13: IUS 004. Time history of the acceleration on isolation foundation vat (practically the null-line) and bed plate. Figure 14: IUS 004. Time history of the acceleration on isolation foundation vat (practically the null-line) and bed plate. Table 1: IUS 004. The SERB-SITON isolation solution. Attenuation, transmissibility and isolation. No. Bed plate (location 1) a 1, m/s Foundation (location ) T = a /a 1 % I = 1-T % A = a 1 /a 1 6,9 0,185 37,30,68 97,31 3,4 0,067 50,75 1,97 98,03 3 3,0 0,071 4,30,36 97,63 Average value 97,65 Among the performances of the system, it is worth mentioning: the 98% isolation ratios of the system; the suppression of the vibration to 1.5 oscillation cycles; the removal of the jumping effect; the reduction of the vibration amplitude in the near-by houses located at about 150 m from the production hall by more than 800 times, i.e. from 56 mm/s with the old foundation isolation solution to mm/s with SERB-SITON new foundation solution.

14 60 Seismic Control Systems The isolating devices, designed and constructed in Romania, have not suffered modification of their elasticity and damping characteristics although the operation conditions are very heavy ones (110 blows/minute generated by a 450 kg forging hammer that is developing an energy of 36 kj/blow). In 006 and 009, the isolation of 10 electric and I & C cabinets, associated with the H S compressors by SERB-device against shocks, vibrations and earthquakes, was implemented in ROMAG-PROD (figs. 15 and 16). Figure 15: ROMAG-PROD. Cabinet isolation SERB device 006. Figure 16: ROMAG-PROD. Cabinet isolation SERB device 009. Also, in 006, the most important application of SERB-SITON solution was carried out, namely the first non-traditional seismic strengthening of a building in Romania where the seismic loads are sustained and damped by SERB mechanical devices installed into a network of telescopic braces and having a controlled elasticity and damping. The strengthened building, extended and refurbished, is the Ward B in NAVROM BUSINESS CENTRE Galati, a 6-storey building made of reinforced concrete frames, having a 300 m surface and built on an old foundation supported on 1 m long oak wood pillars in 193. The building, constructed during the period and aimed to be a sailors lodging house, was affected by the earthquakes in 1977, 1986 and 1990 (fig. 17), and after strengthening and rehabilitation, it is meant to house a business centre, a hotel and a restaurant. For the quality control of SERB device, tests to assess the stiffness and damping characteristics were conducted on a specimen, randomly selected (fig. 18). Figure 17: NAVROM Ward B. Damage of reinforced structures.

15 Seismic Control Systems 61 Figure 18: NAVROM tests; hysteretic characteristic and products delivered with Batch. Due to the great damping capacity of SERB devices installed in telescopic braces (fig. 19), the seismic acceleration amplification in the vertical direction is small, making the seismic loads and sectional stresses also small. In , SITON and SIGMA SS have developed isolation solutions for noise, shocks, vibrations and earthquakes for the Integrated Centre for Advanced Laser Technologies CETAL Bucharest-Magurele-Romania. The isolation was made for: a dynamic high precision measurements lab, a shaker platform and clean room characterization; laboratory standards frequencies-lengths. The developed solution practically ensures a total isolation towards the entire range of noise, shocks, vibrations and earthquakes affecting the CETAL building. Figure 19: NAVROM Ward B. Detail of telescopic bracing anchoring metal and concrete columns. The developed isolated system provides a high reduction of noises and vibrations for the entire range of frequencies that affect the site. In normal operating conditions, the amplitude of the vibrations is less than m/s. During earthquakes, the isolation system ensures the integrity and reliability of constructions and insulated equipment. In S0 and S06 rooms, the insulated system is accomplished by means of SERB devices of high flexibility and a telescopic device with high damping capacity and limitation of lateral displacements at pre-established values. Isolation of noise transmission from

16 6 Seismic Control Systems room S0 to the rest of the CETAL building is accomplished by means of a multilayer structure with which the walls of the room are covered. Fig. 0 shows the mechanical isolation and devices for control of relative displacements used in CETAL and their hysteretic characteristics. Figure 0: Devices used in CETAL for mechanical isolation and control of relative displacements in vertical direction and their hysteretic characteristics. 4 Conclusions The paper presents an analysis in the frequency domain of the dynamic behaviour of an oscillating system (buildings, equipment, pipe networks, etc) considering a model with one degree of freedom to determine the dynamic response of the system under various dynamic excitation conditions. The paper points-out the fact that a system may build-up energy several times greater or smaller than the excitation energy associated to one oscillation cycle, depending on how its eigen-vibration periods are situated with respect to the dominant periods of the excitation. The results of the analysis show that there are many ways to reduce the dynamic response of a system. The most effective solution is to make the system flexible for dynamic action. In the event of this solution not being applicable for functional reasons, the recommended solution is to increase the damping capacity of the system in order to obtain a large reduction of the dynamic response amplification of the oscillating system. According to the experimental data obtained from the industrial applications, the SERB-SITON solution used to reduce the dynamic response against shocks, vibrations and seismic movements in buildings, equipment and pipe networks, is ranked among the most efficient solution applicable today. References [1] V. Serban, Brevet de inventie OSIM nr / , Structura sandvis, dispozitiv avand in componenta aceasta structura pentru preluarea

17 Seismic Control Systems 63 si amortizarea incarcarilor pentru controlul comportarii unei structuri si retea de dispozitive. [] Agrement Tehnic nr /144, Disipatori mecanici de energie seismica Tip SERB- B Consiliu Tehnic Permanent Pentru Constructii. [3] P 100-1/004. Cod de proiectare seismic. [4] Serban, V., Androne, M., Ciocan, G., Zamfir, M., Pavel, C., Pavel, M., Sireteanu, T., Baldovin, D., Mitu, A.M., Mohora, C. & Stoica, M., Solutia SERB-SITON de consolidare a cladirilor prin izolare. A XVII-a Conferinta Nationala AICPS, Bucuresti, Romania, Iunie, 007. [5] Serban, V., Androne, M., Ciocan, G., Zamfir, M., Pavel, C., Pavel, M., Sireteanu, T., Baldovin, D., Mitu, A.M., Mohora, C. & Stoica, M., Solutia SERB-SITON de consolidare a cladirilor prin controlul, limitarea si amortizarea deplasarilor relative de nivel. A XVII-a Conferinta Nationala AICPS, Bucuresti, Romania, Iunie, 007. [6] Serban, V., Androne, M., Cretu, D., Pavel, C. & Pavel, M., Controlul, limitarea si amortizarea miscarilor seismice ale unei constructii cu ajutorul dispozitivelor SERB. A 3-a Conferinta Nationala de Inginerie Seismica, Bucuresti, Decembrie 005. [7] Serban, V. & Panait, A., Isolation and damping of shocks, vibrations, impact load and seismic movements at buildings, equipment and pipe networks by SERB-SITON method. ICONE , MIAMI FLORIDA, USA, July 006. [8] Serban, V., - Patent application Device for the protection of structures from overloads Nr. A/01093/ [9] Project Integrated centre for advanced lasers technologies -CETAL.

Dynamics of structures

Dynamics of structures Dynamics of structures 2.Vibrations: single degree of freedom system Arnaud Deraemaeker (aderaema@ulb.ac.be) 1 Outline of the chapter *One degree of freedom systems in real life Hypothesis Examples *Response

More information

VIBRATION AMPLIFICATION IN OSCILLATING SYSTEMS WITH DEGRADING CHARACTERISTICS *

VIBRATION AMPLIFICATION IN OSCILLATING SYSTEMS WITH DEGRADING CHARACTERISTICS * VIBRATION AMPIFICATION IN OSCIATING SYSTEMS WITH DEGRADING CHARACTERISTICS * Tudor SIRETEANU 1, Nicolae STOIA 1 The paper is an analysis of the dynamic response of an oscillating system, considering the

More information

Chapter 23: Principles of Passive Vibration Control: Design of absorber

Chapter 23: Principles of Passive Vibration Control: Design of absorber Chapter 23: Principles of Passive Vibration Control: Design of absorber INTRODUCTION The term 'vibration absorber' is used for passive devices attached to the vibrating structure. Such devices are made

More information

Giacomo Boffi. Dipartimento di Ingegneria Civile Ambientale e Territoriale Politecnico di Milano

Giacomo Boffi.  Dipartimento di Ingegneria Civile Ambientale e Territoriale Politecnico di Milano http://intranet.dica.polimi.it/people/boffi-giacomo Dipartimento di Ingegneria Civile Ambientale e Territoriale Politecnico di Milano April 21, 2017 Outline of Structural Members Elastic-plastic Idealization

More information

A Guide to linear dynamic analysis with Damping

A Guide to linear dynamic analysis with Damping A Guide to linear dynamic analysis with Damping This guide starts from the applications of linear dynamic response and its role in FEA simulation. Fundamental concepts and principles will be introduced

More information

Address for Correspondence

Address for Correspondence Research Article EXPERIMENT STUDY OF DYNAMIC RESPONSE OF SOFT STOREY BUILDING MODEL C. S. Sanghvi 1, H S Patil 2 and B J Shah 3 Address for Correspondence 1 Associate Professor, Applied Mechanics Department,

More information

Introduction to structural dynamics

Introduction to structural dynamics Introduction to structural dynamics p n m n u n p n-1 p 3... m n-1 m 3... u n-1 u 3 k 1 c 1 u 1 u 2 k 2 m p 1 1 c 2 m2 p 2 k n c n m n u n p n m 2 p 2 u 2 m 1 p 1 u 1 Static vs dynamic analysis Static

More information

Design of Earthquake-Resistant Structures

Design of Earthquake-Resistant Structures NATIONAL TECHNICAL UNIVERSITY OF ATHENS LABORATORY OF EARTHQUAKE ENGINEERING Design of Earthquake-Resistant Structures Basic principles Ioannis N. Psycharis Basic considerations Design earthquake: small

More information

NON-LINEAR ATTENUATION IN SOILS AND ROCKS

NON-LINEAR ATTENUATION IN SOILS AND ROCKS THE PUBLISHING HOUSE PROCEEDINGS OF THE ROMANIAN ACADEMY, Series A, OF THE ROMANIAN ACADEMY Volume 7, Number 3/6, pp. - NON-LINEAR ATTENUATION IN SOILS AND ROCKS Dinu BRATOSIN Institute of Solid Mechanics

More information

Dr.Vinod Hosur, Professor, Civil Engg.Dept., Gogte Institute of Technology, Belgaum

Dr.Vinod Hosur, Professor, Civil Engg.Dept., Gogte Institute of Technology, Belgaum STRUCTURAL DYNAMICS Dr.Vinod Hosur, Professor, Civil Engg.Dept., Gogte Institute of Technology, Belgaum Overview of Structural Dynamics Structure Members, joints, strength, stiffness, ductility Structure

More information

Comparative study between the push-over analysis and the method proposed by the RPA for the evaluation of seismic reduction coefficient

Comparative study between the push-over analysis and the method proposed by the RPA for the evaluation of seismic reduction coefficient 33, Issue (27) 5-23 Journal of Advanced Research in Materials Science Journal homepage: www.akademiabaru.com/arms.html ISSN: 2289-7992 Comparative study between the push-over analysis and the method proposed

More information

International Journal of Emerging Technologies in Computational and Applied Sciences (IJETCAS)

International Journal of Emerging Technologies in Computational and Applied Sciences (IJETCAS) International Association of Scientific Innovation and Research (IASIR) (An Association Unifying the Sciences, Engineering, and Applied Research) International Journal of Emerging Technologies in Computational

More information

Earthquake Loads According to IBC IBC Safety Concept

Earthquake Loads According to IBC IBC Safety Concept Earthquake Loads According to IBC 2003 The process of determining earthquake loads according to IBC 2003 Spectral Design Method can be broken down into the following basic steps: Determination of the maimum

More information

Chapter 6 Seismic Design of Bridges. Kazuhiko Kawashima Tokyo Institute of Technology

Chapter 6 Seismic Design of Bridges. Kazuhiko Kawashima Tokyo Institute of Technology Chapter 6 Seismic Design of Bridges Kazuhiko Kawashima okyo Institute of echnology Seismic Design Loading environment (dead, live, wind, earthquake etc) Performance criteria for gravity (deflection, stresses)

More information

IMPORTANT FEATURES OF THE RESPONSE OF INELASTIC STRUCTURES TO NEAR-FIELD GROUND MOTION

IMPORTANT FEATURES OF THE RESPONSE OF INELASTIC STRUCTURES TO NEAR-FIELD GROUND MOTION IMPORTANT FEATURES OF THE RESPONSE OF INELASTIC STRUCTURES TO NEAR-FIELD GROUND MOTION Wilfred D IWAN 1, Ching-Tung HUANG 2 And Andrew C GUYADER 3 SUMMARY Idealized structural models are employed to reveal

More information

FIS Specifications for Flex Poles (Edition May 2008) Original Text: German

FIS Specifications for Flex Poles (Edition May 2008) Original Text: German FIS Specifications for Flex Poles (Edition May 2008) Original Text: German 1 Field of Application and Basic Information The following FIS specifications for flex poles are intended to ensure that flex

More information

ENERGY DIAGRAM w/ HYSTERETIC

ENERGY DIAGRAM w/ HYSTERETIC ENERGY DIAGRAM ENERGY DIAGRAM w/ HYSTERETIC IMPLIED NONLINEAR BEHAVIOR STEEL STRESS STRAIN RELATIONSHIPS INELASTIC WORK DONE HYSTERETIC BEHAVIOR MOMENT ROTATION RELATIONSHIP IDEALIZED MOMENT ROTATION DUCTILITY

More information

INVESTIGATION OF JACOBSEN'S EQUIVALENT VISCOUS DAMPING APPROACH AS APPLIED TO DISPLACEMENT-BASED SEISMIC DESIGN

INVESTIGATION OF JACOBSEN'S EQUIVALENT VISCOUS DAMPING APPROACH AS APPLIED TO DISPLACEMENT-BASED SEISMIC DESIGN 13 th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 1-6, 2004 Paper No. 228 INVESTIGATION OF JACOBSEN'S EQUIVALENT VISCOUS DAMPING APPROACH AS APPLIED TO DISPLACEMENT-BASED

More information

Collapse modes of structures under strong motions of earthquake

Collapse modes of structures under strong motions of earthquake ANNALS OF GEOPHYSICS, VOL. 45, N. 6, December 2002 Collapse modes of structures under strong motions of earthquake Hiroshi Akiyama Real Estate Science, School of Science and Technology, Nihon University,

More information

2C09 Design for seismic and climate changes

2C09 Design for seismic and climate changes 2C09 Design for seismic and climate changes Lecture 10: Characterisation of seismic motion Aurel Stratan, Politehnica University of Timisoara 07/04/2017 European Erasmus Mundus Master Course Sustainable

More information

CAPACITY SPECTRUM FOR STRUCTURES ASYMMETRIC IN PLAN

CAPACITY SPECTRUM FOR STRUCTURES ASYMMETRIC IN PLAN 13 th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 1-6, 004 Paper No. 653 CAPACITY SPECTRUM FOR STRUCTURES ASYMMETRIC IN PLAN B. K. Raghu Prasad 1, A. Seetha Ramaiah and A.

More information

NONLINEAR APPROACHES REGARDING MECHANICAL AND THERMAL BEHAVIOUR OF VISCO-ELASTIC VIBRATION ISOLATORS

NONLINEAR APPROACHES REGARDING MECHANICAL AND THERMAL BEHAVIOUR OF VISCO-ELASTIC VIBRATION ISOLATORS THE ANNALS OF "DUNAREA DE JOS" UNIVERSITY OF GALATI FASCICLE XIV MECHANICHAL ENGINEERING, ISSN 1224-5615 2013 NONLINEAR APPROACHES REGARDING MECHANICAL AND THERMAL BEHAVIOUR OF VISCO-ELASTIC VIBRATION

More information

Preliminary Examination in Dynamics

Preliminary Examination in Dynamics Fall Semester 2017 Problem 1 The simple structure shown below weighs 1,000 kips and has a period of 1.25 sec. It has no viscous damping. It is subjected to the impulsive load shown in the figure. If the

More information

Dynamic Soil Structure Interaction

Dynamic Soil Structure Interaction Dynamic Soil Structure Interaction Kenji MIURA, Dr. Eng. Professor Graduate School of Engineering Hiroshima University Dynamic Soil Structure Interaction Chapter 1 : Introduction Kenji MIURA, Dr. Eng.

More information

EXPERIMENTAL DETERMINATION OF DYNAMIC CHARACTERISTICS OF STRUCTURES

EXPERIMENTAL DETERMINATION OF DYNAMIC CHARACTERISTICS OF STRUCTURES EXPERIMENTAL DETERMINATION OF DYNAMIC CHARACTERISTICS OF STRUCTURES RADU CRUCIAT, Assistant Professor, Technical University of Civil Engineering, Faculty of Railways, Roads and Bridges, e-mail: rcruciat@utcb.ro

More information

EUROCODE EN SEISMIC DESIGN OF BRIDGES

EUROCODE EN SEISMIC DESIGN OF BRIDGES Brussels, 18-20 February 2008 Dissemination of information workshop 1 EUROCODE EN1998-2 SEISMIC DESIGN OF BRIDGES Basil Kolias Basic Requirements Brussels, 18-20 February 2008 Dissemination of information

More information

International Journal of Advance Engineering and Research Development

International Journal of Advance Engineering and Research Development Scientific Journal of Impact Factor (SJIF): 4.72 International Journal of Advance Engineering and Research Development Volume 4, Issue 11, November -2017 e-issn (O): 2348-4470 p-issn (P): 2348-6406 Study

More information

Inclusion of a Sacrificial Fuse to Limit Peak Base-Shear Forces During Extreme Seismic Events in Structures with Viscous Damping

Inclusion of a Sacrificial Fuse to Limit Peak Base-Shear Forces During Extreme Seismic Events in Structures with Viscous Damping Inclusion of a Sacrificial Fuse to Limit Peak Base-Shear Forces During Extreme Seismic Events in Structures with Viscous Damping V. Simon, C. Labise, G.W. Rodgers, J.G. Chase & G.A. MacRae Dept. of Civil

More information

Seismic design of bridges

Seismic design of bridges NATIONAL TECHNICAL UNIVERSITY OF ATHENS LABORATORY FOR EARTHQUAKE ENGINEERING Seismic design of bridges Lecture 3 Ioannis N. Psycharis Capacity design Purpose To design structures of ductile behaviour

More information

VIBRATION ANALYSIS OF E-GLASS FIBRE RESIN MONO LEAF SPRING USED IN LMV

VIBRATION ANALYSIS OF E-GLASS FIBRE RESIN MONO LEAF SPRING USED IN LMV VIBRATION ANALYSIS OF E-GLASS FIBRE RESIN MONO LEAF SPRING USED IN LMV Mohansing R. Pardeshi 1, Dr. (Prof.) P. K. Sharma 2, Prof. Amit Singh 1 M.tech Research Scholar, 2 Guide & Head, 3 Co-guide & Assistant

More information

Dynamics of Ocean Structures Prof. Dr. Srinivasan Chandrasekaran Department of Ocean Engineering Indian Institute of Technology, Madras

Dynamics of Ocean Structures Prof. Dr. Srinivasan Chandrasekaran Department of Ocean Engineering Indian Institute of Technology, Madras Dynamics of Ocean Structures Prof. Dr. Srinivasan Chandrasekaran Department of Ocean Engineering Indian Institute of Technology, Madras Module - 01 Lecture - 09 Characteristics of Single Degree - of -

More information

SEISMIC BASE ISOLATION

SEISMIC BASE ISOLATION SEISMIC BASE ISOLATION DESIGN OF BASE ISOLATION SYSTEMS IN BUILDINGS FILIPE RIBEIRO DE FIGUEIREDO SUMMARY The current paper aims to present the results of a study for the comparison of different base isolation

More information

Damping of materials and members in structures

Damping of materials and members in structures Journal of Physics: Conference Series Damping of materials and members in structures To cite this article: F Orban 0 J. Phys.: Conf. Ser. 68 00 View the article online for updates and enhancements. Related

More information

Fatigue-Ratcheting Study of Pressurized Piping System under Seismic Load

Fatigue-Ratcheting Study of Pressurized Piping System under Seismic Load Fatigue-Ratcheting Study of Pressurized Piping System under Seismic Load A. Ravi Kiran, M. K. Agrawal, G. R. Reddy, R. K. Singh, K. K. Vaze, A. K. Ghosh and H. S. Kushwaha Reactor Safety Division, Bhabha

More information

DETERMINISTIC AND PROBABILISTIC SEISMIC PERFORMANCE ASSESSMENT OF A LOW-CODE RC FRAME BUILDING

DETERMINISTIC AND PROBABILISTIC SEISMIC PERFORMANCE ASSESSMENT OF A LOW-CODE RC FRAME BUILDING DETERMINISTIC AND PROBABILISTIC SEISMIC PERFORMANCE ASSESSMENT OF A LOW-CODE RC FRAME BUILDING Florenţa-Nicoleta TĂNASE 1 1 Scientific Researcher, NIRD URBAN-INCERC, Bucharest, Romania, ing_tanasenicoleta@yahoo.com

More information

SOIL-STRUCTURE INTERACTION, WAVE PASSAGE EFFECTS AND ASSYMETRY IN NONLINEAR SOIL RESPONSE

SOIL-STRUCTURE INTERACTION, WAVE PASSAGE EFFECTS AND ASSYMETRY IN NONLINEAR SOIL RESPONSE SOIL-STRUCTURE INTERACTION, WAVE PASSAGE EFFECTS AND ASSYMETRY IN NONLINEAR SOIL RESPONSE Mihailo D. Trifunac Civil Eng. Department University of Southern California, Los Angeles, CA E-mail: trifunac@usc.edu

More information

RESIDUAL STORY-DRIFT OF WEAK-BEAM PORTAL FRAME WITH SLIP-TYPE RESTORING FORCE CHARACTERISTICS OF COLUMN-BASE SUBJECTED TO GROUND MOTION

RESIDUAL STORY-DRIFT OF WEAK-BEAM PORTAL FRAME WITH SLIP-TYPE RESTORING FORCE CHARACTERISTICS OF COLUMN-BASE SUBJECTED TO GROUND MOTION 13 th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 1-6, 24 Paper No. 192 RESIDUAL STORY-DRIFT OF WEAK-BEAM PORTAL FRAME WITH SLIP-TYPE RESTORING FORCE CHARACTERISTICS OF COLUMN-BASE

More information

CONTRIBUTION TO THE IDENTIFICATION OF THE DYNAMIC BEHAVIOUR OF FLOATING HARBOUR SYSTEMS USING FREQUENCY DOMAIN DECOMPOSITION

CONTRIBUTION TO THE IDENTIFICATION OF THE DYNAMIC BEHAVIOUR OF FLOATING HARBOUR SYSTEMS USING FREQUENCY DOMAIN DECOMPOSITION CONTRIBUTION TO THE IDENTIFICATION OF THE DYNAMIC BEHAVIOUR OF FLOATING HARBOUR SYSTEMS USING FREQUENCY DOMAIN DECOMPOSITION S. Uhlenbrock, University of Rostock, Germany G. Schlottmann, University of

More information

two structural analysis (statics & mechanics) APPLIED ACHITECTURAL STRUCTURES: DR. ANNE NICHOLS SPRING 2017 lecture STRUCTURAL ANALYSIS AND SYSTEMS

two structural analysis (statics & mechanics) APPLIED ACHITECTURAL STRUCTURES: DR. ANNE NICHOLS SPRING 2017 lecture STRUCTURAL ANALYSIS AND SYSTEMS APPLIED ACHITECTURAL STRUCTURES: STRUCTURAL ANALYSIS AND SYSTEMS DR. ANNE NICHOLS SPRING 2017 lecture two structural analysis (statics & mechanics) Analysis 1 Structural Requirements strength serviceability

More information

ANALYSIS OF HIGHRISE BUILDING STRUCTURE WITH SETBACK SUBJECT TO EARTHQUAKE GROUND MOTIONS

ANALYSIS OF HIGHRISE BUILDING STRUCTURE WITH SETBACK SUBJECT TO EARTHQUAKE GROUND MOTIONS ANALYSIS OF HIGHRISE BUILDING SRUCURE WIH SEBACK SUBJEC O EARHQUAKE GROUND MOIONS 157 Xiaojun ZHANG 1 And John L MEEK SUMMARY he earthquake response behaviour of unframed highrise buildings with setbacks

More information

Structural Dynamics Lecture 7. Outline of Lecture 7. Multi-Degree-of-Freedom Systems (cont.) System Reduction. Vibration due to Movable Supports.

Structural Dynamics Lecture 7. Outline of Lecture 7. Multi-Degree-of-Freedom Systems (cont.) System Reduction. Vibration due to Movable Supports. Outline of Multi-Degree-of-Freedom Systems (cont.) System Reduction. Truncated Modal Expansion with Quasi-Static Correction. Guyan Reduction. Vibration due to Movable Supports. Earthquake Excitations.

More information

Chapter 10 Lecture Outline. Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display.

Chapter 10 Lecture Outline. Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. Chapter 10 Lecture Outline Copyright The McGraw-Hill Companies, Inc. Permission required for reproduction or display. 1 Chapter 10: Elasticity and Oscillations Elastic Deformations Hooke s Law Stress and

More information

Grandstand Terraces. Experimental and Computational Modal Analysis. John N Karadelis

Grandstand Terraces. Experimental and Computational Modal Analysis. John N Karadelis Grandstand Terraces. Experimental and Computational Modal Analysis. John N Karadelis INTRODUCTION Structural vibrations caused by human activities are not known to be particularly damaging or catastrophic.

More information

CHAPTER 5. T a = 0.03 (180) 0.75 = 1.47 sec 5.12 Steel moment frame. h n = = 260 ft. T a = (260) 0.80 = 2.39 sec. Question No.

CHAPTER 5. T a = 0.03 (180) 0.75 = 1.47 sec 5.12 Steel moment frame. h n = = 260 ft. T a = (260) 0.80 = 2.39 sec. Question No. CHAPTER 5 Question Brief Explanation No. 5.1 From Fig. IBC 1613.5(3) and (4) enlarged region 1 (ASCE 7 Fig. -3 and -4) S S = 1.5g, and S 1 = 0.6g. The g term is already factored in the equations, thus

More information

Vibration Control Prof. Dr. S. P. Harsha Department of Mechanical & Industrial Engineering Indian Institute of Technology, Roorkee

Vibration Control Prof. Dr. S. P. Harsha Department of Mechanical & Industrial Engineering Indian Institute of Technology, Roorkee Vibration Control Prof. Dr. S. P. Harsha Department of Mechanical & Industrial Engineering Indian Institute of Technology, Roorkee Module - 3 Vibration Isolation Lecture - 1 Vibration Isolation 1 This

More information

ME 563 HOMEWORK # 7 SOLUTIONS Fall 2010

ME 563 HOMEWORK # 7 SOLUTIONS Fall 2010 ME 563 HOMEWORK # 7 SOLUTIONS Fall 2010 PROBLEM 1: Given the mass matrix and two undamped natural frequencies for a general two degree-of-freedom system with a symmetric stiffness matrix, find the stiffness

More information

A new seismic testing method E. Kausel Professor of Civil and Environmental Engineering, Massachusetts 7-277, OamWd^e, ^ 027 JP,

A new seismic testing method E. Kausel Professor of Civil and Environmental Engineering, Massachusetts 7-277, OamWd^e, ^ 027 JP, A new seismic testing method E. Kausel Professor of Civil and Environmental Engineering, Massachusetts 7-277, OamWd^e, ^ 027 JP, Introduction The bulleted enumeration that follows shows five experimental

More information

STRUCTURAL DYNAMICS BASICS:

STRUCTURAL DYNAMICS BASICS: BASICS: STRUCTURAL DYNAMICS Real-life structures are subjected to loads which vary with time Except self weight of the structure, all other loads vary with time In many cases, this variation of the load

More information

Introduction to Geotechnical Earthquake Engineering

Introduction to Geotechnical Earthquake Engineering Module 1 Introduction to Geotechnical Earthquake Engineering by Dr. Deepankar Choudhury Professor Department of Civil Engineering IIT Bombay, Powai, Mumbai 400 076, India. Email: dc@civil.iitb.ac.in URL:

More information

Preliminary Examination - Dynamics

Preliminary Examination - Dynamics Name: University of California, Berkeley Fall Semester, 2018 Problem 1 (30% weight) Preliminary Examination - Dynamics An undamped SDOF system with mass m and stiffness k is initially at rest and is then

More information

Outline of parts 1 and 2

Outline of parts 1 and 2 to Harmonic Loading http://intranet.dica.polimi.it/people/boffi-giacomo Dipartimento di Ingegneria Civile Ambientale e Territoriale Politecnico di Milano March, 6 Outline of parts and of an Oscillator

More information

Lecture-09 Introduction to Earthquake Resistant Analysis & Design of RC Structures (Part I)

Lecture-09 Introduction to Earthquake Resistant Analysis & Design of RC Structures (Part I) Lecture-09 Introduction to Earthquake Resistant Analysis & Design of RC Structures (Part I) By: Prof Dr. Qaisar Ali Civil Engineering Department UET Peshawar www.drqaisarali.com 1 Topics Introduction Earthquake

More information

PLEASURE VESSEL VIBRATION AND NOISE FINITE ELEMENT ANALYSIS

PLEASURE VESSEL VIBRATION AND NOISE FINITE ELEMENT ANALYSIS PLEASURE VESSEL VIBRATION AND NOISE FINITE ELEMENT ANALYSIS 1 Macchiavello, Sergio *, 2 Tonelli, Angelo 1 D Appolonia S.p.A., Italy, 2 Rina Services S.p.A., Italy KEYWORDS pleasure vessel, vibration analysis,

More information

Nonlinear Analysis of Reinforced Concrete Bridges under Earthquakes

Nonlinear Analysis of Reinforced Concrete Bridges under Earthquakes 6 th International Conference on Advances in Experimental Structural Engineering 11 th International Workshop on Advanced Smart Materials and Smart Structures Technology August 1-2, 2015, University of

More information

Structural Dynamics. Spring mass system. The spring force is given by and F(t) is the driving force. Start by applying Newton s second law (F=ma).

Structural Dynamics. Spring mass system. The spring force is given by and F(t) is the driving force. Start by applying Newton s second law (F=ma). Structural Dynamics Spring mass system. The spring force is given by and F(t) is the driving force. Start by applying Newton s second law (F=ma). We will now look at free vibrations. Considering the free

More information

TOPIC E: OSCILLATIONS SPRING 2019

TOPIC E: OSCILLATIONS SPRING 2019 TOPIC E: OSCILLATIONS SPRING 2019 1. Introduction 1.1 Overview 1.2 Degrees of freedom 1.3 Simple harmonic motion 2. Undamped free oscillation 2.1 Generalised mass-spring system: simple harmonic motion

More information

MASS LOADING EFFECTS FOR HEAVY EQUIPMENT AND PAYLOADS Revision F

MASS LOADING EFFECTS FOR HEAVY EQUIPMENT AND PAYLOADS Revision F MASS LOADING EFFECTS FOR HEAVY EQUIPMENT AND PAYLOADS Revision F By Tom Irvine Email: tomirvine@aol.com May 19, 2011 Introduction Consider a launch vehicle with a payload. Intuitively, a realistic payload

More information

Comparison between the visco-elastic dampers And Magnetorheological dampers and study the Effect of temperature on the damping properties

Comparison between the visco-elastic dampers And Magnetorheological dampers and study the Effect of temperature on the damping properties Comparison between the visco-elastic dampers And Magnetorheological dampers and study the Effect of temperature on the damping properties A.Q. Bhatti National University of Sciences and Technology (NUST),

More information

Displacement ductility demand and strength reduction factors for rocking structures

Displacement ductility demand and strength reduction factors for rocking structures Earthquake Resistant Engineering Structures VI 9 Displacement ductility demand and strength reduction factors for rocking structures M. Trueb, Y. Belmouden & P. Lestuzzi ETHZ-Swiss Federal Institute of

More information

Transverse vibrations analysis of a beam with degrading hysteretic behavior by using Euler-Bernoulli beam model

Transverse vibrations analysis of a beam with degrading hysteretic behavior by using Euler-Bernoulli beam model DOI: 10.2478/auom-2018-0008 An. Şt. Univ. Ovidius Constanţa Vol. 26(1),2018, 125 139 Transverse vibrations analysis of a beam with degrading hysteretic behavior by using Euler-Bernoulli beam model Ghiocel

More information

Numerical Simulation of Impacts involving a Collapsible Nonlinear Multilayer Structure

Numerical Simulation of Impacts involving a Collapsible Nonlinear Multilayer Structure Numerical Simulation of Impacts involving a Collapsible Nonlinear Multilayer Structure Michael A. Sek Abstract A numerical model for the simulation of dynamic compression of a nonlinear multilayer structure

More information

Effects of multi-directional excitations on the response of a secondary structure with two attachments

Effects of multi-directional excitations on the response of a secondary structure with two attachments Proceedings of the Tenth Pacific Conference on Earthquake Engineering Building an Earthquake-Resilient Pacific 6-8 November 21, Sydney, Australia Effects of multi-directional excitations on the response

More information

NONLINEAR SEISMIC SOIL-STRUCTURE (SSI) ANALYSIS USING AN EFFICIENT COMPLEX FREQUENCY APPROACH

NONLINEAR SEISMIC SOIL-STRUCTURE (SSI) ANALYSIS USING AN EFFICIENT COMPLEX FREQUENCY APPROACH NONLINEAR SEISMIC SOIL-STRUCTURE (SSI) ANALYSIS USING AN EFFICIENT COMPLEX FREQUENCY APPROACH Dan M. GHIOCEL 1 ABSTRACT The paper introduces a novel approach for modeling nonlinear hysteretic behavior

More information

SYSTEM IDENTIFICATION & DAMAGE ASSESSMENT OF STRUCTURES USING OPTICAL TRACKER ARRAY DATA

SYSTEM IDENTIFICATION & DAMAGE ASSESSMENT OF STRUCTURES USING OPTICAL TRACKER ARRAY DATA SYSTEM IDENTIFICATION & DAMAGE ASSESSMENT OF STRUCTURES USING OPTICAL TRACKER ARRAY DATA Chin-Hsiung Loh 1,* and Chuan-Kai Chan 1 1 Department of Civil Engineering, National Taiwan University Taipei 10617,

More information

Sabah Shawkat Cabinet of Structural Engineering Walls carrying vertical loads should be designed as columns. Basically walls are designed in

Sabah Shawkat Cabinet of Structural Engineering Walls carrying vertical loads should be designed as columns. Basically walls are designed in Sabah Shawkat Cabinet of Structural Engineering 17 3.6 Shear walls Walls carrying vertical loads should be designed as columns. Basically walls are designed in the same manner as columns, but there are

More information

C. points X and Y only. D. points O, X and Y only. (Total 1 mark)

C. points X and Y only. D. points O, X and Y only. (Total 1 mark) Grade 11 Physics -- Homework 16 -- Answers on a separate sheet of paper, please 1. A cart, connected to two identical springs, is oscillating with simple harmonic motion between two points X and Y that

More information

The student will experimentally determine the parameters to represent the behavior of a damped oscillatory system of one degree of freedom.

The student will experimentally determine the parameters to represent the behavior of a damped oscillatory system of one degree of freedom. Practice 3 NAME STUDENT ID LAB GROUP PROFESSOR INSTRUCTOR Vibrations of systems of one degree of freedom with damping QUIZ 10% PARTICIPATION & PRESENTATION 5% INVESTIGATION 10% DESIGN PROBLEM 15% CALCULATIONS

More information

Chapter 2: Rigid Bar Supported by Two Buckled Struts under Axial, Harmonic, Displacement Excitation..14

Chapter 2: Rigid Bar Supported by Two Buckled Struts under Axial, Harmonic, Displacement Excitation..14 Table of Contents Chapter 1: Research Objectives and Literature Review..1 1.1 Introduction...1 1.2 Literature Review......3 1.2.1 Describing Vibration......3 1.2.2 Vibration Isolation.....6 1.2.2.1 Overview.

More information

Effects of Damping Ratio of Restoring force Device on Response of a Structure Resting on Sliding Supports with Restoring Force Device

Effects of Damping Ratio of Restoring force Device on Response of a Structure Resting on Sliding Supports with Restoring Force Device Effects of Damping Ratio of Restoring force Device on Response of a Structure Resting on Sliding Supports with Restoring Force Device A. Krishnamoorthy Professor, Department of Civil Engineering Manipal

More information

M A : Ordinary Differential Equations

M A : Ordinary Differential Equations M A 2 0 5 1: Ordinary Differential Equations Essential Class Notes & Graphics D 19 * 2018-2019 Sections D07 D11 & D14 1 1. INTRODUCTION CLASS 1 ODE: Course s Overarching Functions An introduction to the

More information

Transactions on the Built Environment vol 22, 1996 WIT Press, ISSN

Transactions on the Built Environment vol 22, 1996 WIT Press,   ISSN A shock damage potential approach to shock testing D.H. Trepess Mechanical Subject Group, School of Engineering, Coventry University, Coventry CVl 5FB, UK A shock damage (excitation capacity) approach

More information

Wire rope springs for passive vibration control of a light steel structure

Wire rope springs for passive vibration control of a light steel structure Wire rope springs for passive vibration control of a light steel structure STEFANO PAGANO, SALVATORE STRANO Dipartimento di Ingegneria Industriale Università degli Studi di Napoli Federico II Via Claudio

More information

COLUMN INTERACTION EFFECT ON PUSH OVER 3D ANALYSIS OF IRREGULAR STRUCTURES

COLUMN INTERACTION EFFECT ON PUSH OVER 3D ANALYSIS OF IRREGULAR STRUCTURES th World Conference on Earthquake Engineering Vancouver, B.C., Canada August -6, Paper No. 6 COLUMN INTERACTION EFFECT ON PUSH OVER D ANALYSIS OF IRREGULAR STRUCTURES Jaime DE-LA-COLINA, MariCarmen HERNANDEZ

More information

1. Multiple Degree-of-Freedom (MDOF) Systems: Introduction

1. Multiple Degree-of-Freedom (MDOF) Systems: Introduction 1. Multiple Degree-of-Freedom (MDOF) Systems: Introduction Lesson Objectives: 1) List examples of MDOF structural systems and state assumptions of the idealizations. 2) Formulate the equation of motion

More information

7 SEISMIC LOADS. 7.1 Estimation of Seismic Loads. 7.2 Calculation of Seismic Loads

7 SEISMIC LOADS. 7.1 Estimation of Seismic Loads. 7.2 Calculation of Seismic Loads 1 7 SEISMIC LOADS 7.1 Estimation of Seismic Loads 7.1.1 Seismic load and design earthquake motion (1) For ordinary buildings, seismic load is evaluated using the acceleration response spectrum (see Sec.7.2)

More information

Chapter 14 Oscillations. Copyright 2009 Pearson Education, Inc.

Chapter 14 Oscillations. Copyright 2009 Pearson Education, Inc. Chapter 14 Oscillations 14-1 Oscillations of a Spring If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The

More information

INELASTIC SEISMIC DISPLACEMENT RESPONSE PREDICTION OF MDOF SYSTEMS BY EQUIVALENT LINEARIZATION

INELASTIC SEISMIC DISPLACEMENT RESPONSE PREDICTION OF MDOF SYSTEMS BY EQUIVALENT LINEARIZATION INEASTIC SEISMIC DISPACEMENT RESPONSE PREDICTION OF MDOF SYSTEMS BY EQUIVAENT INEARIZATION M. S. Günay 1 and H. Sucuoğlu 1 Research Assistant, Dept. of Civil Engineering, Middle East Technical University,

More information

Harmonized European standards for construction in Egypt

Harmonized European standards for construction in Egypt Harmonized European standards for construction in Egypt EN 1998 - Design of structures for earthquake resistance Jean-Armand Calgaro Chairman of CEN/TC250 Organised with the support of the Egyptian Organization

More information

on the figure. Someone has suggested that, in terms of the degrees of freedom x1 and M. Note that if you think the given 1.2

on the figure. Someone has suggested that, in terms of the degrees of freedom x1 and M. Note that if you think the given 1.2 1) A two-story building frame is shown below. The mass of the frame is assumed to be lumped at the floor levels and the floor slabs are considered rigid. The floor masses and the story stiffnesses are

More information

2007 Problem Topic Comment 1 Kinematics Position-time equation Kinematics 7 2 Kinematics Velocity-time graph Dynamics 6 3 Kinematics Average velocity

2007 Problem Topic Comment 1 Kinematics Position-time equation Kinematics 7 2 Kinematics Velocity-time graph Dynamics 6 3 Kinematics Average velocity 2007 Problem Topic Comment 1 Kinematics Position-time equation Kinematics 7 2 Kinematics Velocity-time graph Dynamics 6 3 Kinematics Average velocity Energy 7 4 Kinematics Free fall Collisions 3 5 Dynamics

More information

MECHANICS OF STRUCTURES SCI 1105 COURSE MATERIAL UNIT - I

MECHANICS OF STRUCTURES SCI 1105 COURSE MATERIAL UNIT - I MECHANICS OF STRUCTURES SCI 1105 COURSE MATERIAL UNIT - I Engineering Mechanics Branch of science which deals with the behavior of a body with the state of rest or motion, subjected to the action of forces.

More information

Journal of Engineering Studies and Research Volume 19 (2013) No. 1 29

Journal of Engineering Studies and Research Volume 19 (2013) No. 1 29 Journal of Engineering Studies and Research Volume 19 (2013) No. 1 29 THE BEHAVIOR UNDER LOAD OF THE PORTAL GANTRY CRANES, REFERING TO STRENGTH, STIFFNESS AND STABILITY PART II EXPERIMENTAL DETERMINATIONS

More information

666. Controllable vibro-protective system for the driver seat of a multi-axis vehicle

666. Controllable vibro-protective system for the driver seat of a multi-axis vehicle 666. Controllable vibro-protective system for the driver seat of a multi-axis vehicle A. Bubulis 1, G. Reizina, E. Korobko 3, V. Bilyk 3, V. Efremov 4 1 Kaunas University of Technology, Kęstučio 7, LT-4431,

More information

KINETIC EEFCT ON FLEXIBLE BODIES BEHAVIOR

KINETIC EEFCT ON FLEXIBLE BODIES BEHAVIOR 13 th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 1-6, 2 Paper No. 99 KINETIC EEFCT ON FLEXIBLE BODIES BEHAVIOR Eduardo BOTERO 1 and Miguel P. ROMO 2 SUMMARY When a flexible

More information

Vibration-Free Pulse Tube Cryocooler System for Gravitational Wave Detectors I

Vibration-Free Pulse Tube Cryocooler System for Gravitational Wave Detectors I 1 Vibration-Free Pulse Tube Cryocooler System for Gravitational Wave Detectors I - Vibration-Reduction Method and Measurement - T. Tomaru A, T. Suzuki A, T. Haruyama A, T. Shintomi A, N. Sato A, A. Yamamoto

More information

DUCTILITY BEHAVIOR OF A STEEL PLATE SHEAR WALL BY EXPLICIT DYNAMIC ANALYZING

DUCTILITY BEHAVIOR OF A STEEL PLATE SHEAR WALL BY EXPLICIT DYNAMIC ANALYZING The 4 th World Conference on arthquake ngineering October -7, 008, Beijing, China ABSTRACT : DCTILITY BHAVIOR OF A STL PLAT SHAR WALL BY XPLICIT DYNAMIC ANALYZING P. Memarzadeh Faculty of Civil ngineering,

More information

Chapter 14 Oscillations

Chapter 14 Oscillations Chapter 14 Oscillations If an object vibrates or oscillates back and forth over the same path, each cycle taking the same amount of time, the motion is called periodic. The mass and spring system is a

More information

Soil Damping Ratio: Theoretical Aspect and Measurement

Soil Damping Ratio: Theoretical Aspect and Measurement Ratio: Theoretical Aspect and Measurement Sri Atmaja P. Rosyidi, Ph.D. Assistant Professor, Universitas Muhammadiyah Yogyakarta A Two Day Workshop on SASW for Practicing Engineer 17-18 February 2011, Faculty

More information

SHAKING TABLE TEST OF STEEL FRAME STRUCTURES SUBJECTED TO NEAR-FAULT GROUND MOTIONS

SHAKING TABLE TEST OF STEEL FRAME STRUCTURES SUBJECTED TO NEAR-FAULT GROUND MOTIONS 3 th World Conference on Earthquake Engineering Vancouver, B.C., Canada August -6, 24 Paper No. 354 SHAKING TABLE TEST OF STEEL FRAME STRUCTURES SUBJECTED TO NEAR-FAULT GROUND MOTIONS In-Kil Choi, Young-Sun

More information

A ROLLOVER TEST OF BUS BODY SECTIONS USING ANSYS

A ROLLOVER TEST OF BUS BODY SECTIONS USING ANSYS 5 th International Conference Computational Mechanics and Virtual Engineering COMEC 2013 24-25 October 2013, Braşov, Romania A ROLLOVER TEST OF BUS BODY SECTIONS USING ANSYS D.A. Micu, 1, M.D. Iozsa 2,

More information

Codal Provisions IS 1893 (Part 1) 2002

Codal Provisions IS 1893 (Part 1) 2002 Abstract Codal Provisions IS 1893 (Part 1) 00 Paresh V. Patel Assistant Professor, Civil Engineering Department, Nirma Institute of Technology, Ahmedabad 38481 In this article codal provisions of IS 1893

More information

ANALYTICAL PENDULUM METHOD USED TO PREDICT THE ROLLOVER BEHAVIOR OF A BODY STRUCTURE

ANALYTICAL PENDULUM METHOD USED TO PREDICT THE ROLLOVER BEHAVIOR OF A BODY STRUCTURE The 3rd International Conference on Computational Mechanics and Virtual Engineering COMEC 2009 29 30 OCTOBER 2009, Brasov, Romania ANALYTICAL PENDULUM METHOD USED TO PREDICT THE ROLLOVER BEHAVIOR OF A

More information

Part 6: Dynamic design analysis

Part 6: Dynamic design analysis Part 6: Dynamic design analysis BuildSoft nv All rights reserved. No part of this document may be reproduced or transmitted in any form or by any means, electronic or manual, for any purpose, without written

More information

Vibration Testing. Typically either instrumented hammers or shakers are used.

Vibration Testing. Typically either instrumented hammers or shakers are used. Vibration Testing Vibration Testing Equipment For vibration testing, you need an excitation source a device to measure the response a digital signal processor to analyze the system response Excitation

More information

Vibration Control Prof. Dr. S. P. Harsha Department of Mechanical & Industrial Engineering Indian Institute of Technology, Roorkee

Vibration Control Prof. Dr. S. P. Harsha Department of Mechanical & Industrial Engineering Indian Institute of Technology, Roorkee Vibration Control Prof. Dr. S. P. Harsha Department of Mechanical & Industrial Engineering Indian Institute of Technology, Roorkee Module - 1 Review of Basics of Mechanical Vibrations Lecture - 2 Introduction

More information

Dynamic behavior of turbine foundation considering full interaction among facility, structure and soil

Dynamic behavior of turbine foundation considering full interaction among facility, structure and soil Dynamic behavior of turbine foundation considering full interaction among facility, structure and soil Fang Ming Scholl of Civil Engineering, Harbin Institute of Technology, China Wang Tao Institute of

More information

Designing Mechanical Systems for Suddenly Applied Loads

Designing Mechanical Systems for Suddenly Applied Loads Designing Mechanical Systems for Suddenly Applied Loads Abstract Integrated Systems Research May, 3 The design of structural systems primarily involves a decision process dealing with three parameters:

More information

DYNAMIC RESPONSE OF EARTHQUAKE EXCITED INELASTIC PRIMARY- SECONDARY SYSTEMS

DYNAMIC RESPONSE OF EARTHQUAKE EXCITED INELASTIC PRIMARY- SECONDARY SYSTEMS DYNAMIC RESPONSE OF EARTHQUAKE EXCITED INELASTIC PRIMARY- SECONDARY SYSTEMS Christoph ADAM 1 And Peter A FOTIU 2 SUMMARY The objective of the paper is to investigate numerically the effect of ductile material

More information

COMPARATIVE STUDIES ON SEISMIC INCOHERENT SSI ANALYSIS METHODOLOGIES

COMPARATIVE STUDIES ON SEISMIC INCOHERENT SSI ANALYSIS METHODOLOGIES Transactions, SMiRT-22 COMPARATIVE STUDIES ON SEISMIC INCOHERENT SSI ANALYSIS METHODOLOGIES Dan M. Ghiocel 1 1 Ghiocel Predictive Technologies, Inc., Rochester, New Yor, USA (dan.ghiocel@ghiocel-tech.com)

More information

Chapter 10: Vibration Isolation of the Source

Chapter 10: Vibration Isolation of the Source Chapter 10: Vibration Isolation of the Source Introduction: High vibration levels can cause machinery failure, as well as objectionable noise levels. A common source of objectionable noise in buildings

More information