RUBBER MATERIALS AND DYNAMIC SPACE APPLICATIONS

Size: px
Start display at page:

Download "RUBBER MATERIALS AND DYNAMIC SPACE APPLICATIONS"

Transcription

1 RUBBER MATERIALS AND DYNAMIC SPACE APPLICATIONS Tony DEMERVILLE SMAC, 66 Impasse Branly La Garde FRANCE, Tel : ABSTRACT In many fields (for example automotive, aeronautic, ), rubber materials are widely used to solve dynamics problems. Since a few years, rubber dynamics parts are designed for space applications too: Historically, their damping properties were firstly used for launcher applications (ARIANE IV, ARIANE V and VEGA today), to prevent damages due to shock levels generated by stage separations. Then, these materials were mounted inside spacecrafts as passive damping equipment: Their aim is always to limit shock levels effect on onboard equipment (MYRIADE microsatellites, ATV,.) and to limit microvibrations generated by the onboard reaction wheels and gyroscopes too. For these typical devices, the main gap between launcher and satellite applications is the life time: Only few minutes for a launcher against several years for a satellite. So, it is important to know the mechanical behavior of rubber materials in space environment, in order to validate the performances of the rubber devices up to the end of the satellite life. But today the effects of space environment on rubber materials with more or less long run are not really known, because there is no real experience feedback. However, the aggressiveness of this specific environment is proven and influences the evolution of rubber materials with time. The three sources of ageing identified under these conditions are the solar irradiation, the thermal amplitudes and the vacuum. Separately, these three factors have consequences on the organic materials which are known enough, but the difficulties appear when the combination of these three parameters is considered. To understand these effects, a study started with CNES, SMAC and the MAPIEM laboratory. INTRODUCTION Rubber term is the general word used to speak about the elastomer family which belongs to the wide family of polymers. But those are specific materials, very different from standard thermoplastics or thermosets: They are very flexible, very elastic, gas-proof and thanks to an appropriately compound they can present a high damping capability. That is why they are widely used to solve dynamic problems in many fields, including space applications. Today shock absorbers and passive dampers using elastomers are mounted onboard launchers and satellites. But the effects of space environment on them are not really known still because there is no real experiment feedback, and so the questions about the lifetime are numerous. To answer these questions a study has just started to predict the behavior of SMACTANE rubber exposed in space environment during several years. 1. ELASTOMER, GENERAL INFORMATIONS 1.1 Molecular structure Elastomers are polymer materials composed of long molecular chains made of usually elements like carbon, hydrogen, oxygen,... In this elementary state, the material is strongly viscous and weakly elastic. To get its final elasticity, it is necessary to cross link these long chains together thanks to the vulcanization step using sulfur or peroxide elements. Elastomer is finally a thermoset rubber with very long molecular chains as shown the figure 1. Cross-link Long molecular Fig. 1. Molecular representation of elastomer

2 There are several families of rubber following the nature of their molecular chains, and they are usually classified in 3 categories as presented by the Figure 2. damage, and return in their original position when the stress is cancelled. Usual rubber Specific rubber Natural rubber, polyisoprene, butadiene-styrene, EPDM, isoprene, polycloroprene, Very rubber specific Silicone, polyacryliques, PU, Fig. 2. Usual classification of elastomer The polymer cannot be used only, it is necessary to include various additives to it, in order improve various properties. Here after the main list of additives usually used by the rubber industry : Vulcanizing agents and accelerators : To link the molecular chain during the vulcanization phase, it is necessary to add some vulcanizing agents, like sulfur. In a same time accelerators are added to increase the kinetic of the vulcanization reaction. Reinforcing charges : Usually black carbon is used to increase the hardness and the mechanical properties of the elastomer (breaking stress elongation, mechanical modulus). Silicate can be used too. Processing aids : To make easier the rubber process, processing aids like plasticizers are added to the compound Protecting agents: Their role is to protect the polymer from its external environment, such as UV radiations, ozone, A lot of protecting agents are available, such as organic modifiers, fire retarder, fungicides,.. Fig. 3. Space dampers during elongation test This hyperelasticity comes from the ability of the long molecular chains to reconfigure themselves in order to distribute the applied stress, and the covalent crosslinks ensure the elastomer to return to its original configuration. In addition, its mechanical moduli are very low, only few MPa. The figure 4 presents these characteristics by comparing the elongation curves obtained with an elastomer sample and with an aluminum sample. 1.3 ThermoPhysical aspect σ Aluminium Due to the high mobility of the macromolecular chains, the glass temperature Tg of elastomer is lower than the room temperature and it depends on the chemical structure of the elastomer. The figure 5 presents for a usual rubber the evolution of the dynamical modulus versus the temperature. Elastomer ε Fig. 4. Tensile test for aluminum and rubber 1.2 Mechanical characteristics The main mechanical characteristics of elastomers is extreme flexibility : They can be strongly extended (upper than 400% of elongation, see Fig. 3.) without Tg Fig. 5. Evolution of dynamical modulus vs temperature

3 When the temperature is lower than Tg, the behavior of rubber is like glass : hard and breakable When the temperature is upper than Tg, the thermal agitation is very high inside the material which becomes very elastic - Finally, if w continues to increase, molecular chains cannot return to their equilibrate position between 2 solicitations. Tensions are permanent inside the macromolecular chains, and the material seems to become rigid. The figure 7 presents the influence of the frequency on the SMACTANE 50 SP. Around Tg, this is the relaxation area where the damping of the elastomer is maximum 1.4 Viscoelasticity of elastomer Elastomer materials exhibit a viscoelastic behavior, which is between a perfect elastic spring and a viscous fluid. That is why it is usual, in first approximation, to model a rubber damper by a spring associated with a dashpot (see Fig 6.). Fig. 7. Frequency influence on SMACTANE 50 - Temperature influence : Temperature and frequency are opposite influence on the rubber : Fig. 6. Viscoelastic model When a sinusoidal exciting force is applied to such system, the strain is observed to lag behind the stress. The phase angle between them, denoted φ, is the loss angle linked to the damping capability of the rubber and the hysteresis effect. The stress σ may be separated into 2 components : one in phase with the strain (G ) and one leading it by a quarter cycle (G ) - At very low temperature, mechanical moduli are very high, the elastomer is rigid and breakable - At high temperature, mechanical moduli are low, the elastomer is elastic. In the intermediary range of temperature, the rubber is the most viscous around the glass temperature noted Tg (see Figure 8). σ=γ 0 [G (w)sinwt+g (w)cos(wt)] (1) - Frequency influence : φ=tan -1 (G /G ) As written in the equation (1), G and G depends on the frequency w : - When w is low, molecular chains have the time to return to its equilibrate position : the material seems to be flexible and elastic. Fig. 8. Frequency influence on SMACTANE 50 - When w increases, the return to the equilibrate position is in late with the solicitation ; this is the hysteresis phenomenon

4 2. ELASTOMERS AND DYNAMIC APPLICATIONS Thanks to their damping capability, elastomers are widely used to solve dynamics problems in many fields, including space applications. Firstly it was to protect sensitive equipment from pyroshock levels for launch applications. But step by step, elastomers were included inside satellite too, to deal with vibrations and microvibrations problems. 2.1 Passive shock absorbers Historically, in European space field the first shock absorbers using rubber appeared for ARIANE launchers. The aim is to protect all sensitive equipment from the shocks levels induced by the separation of the different parts and by the main release mechanism (spacecraft release, appendage deployment, ). To get there some shock absorbers were designed using rubber like SMACTANE in order to use its high damping effect. Fig. 10. Dampers used to protect an inertial unit The main principle of passive damper is linked to the behavior of single degree of response (SDOF) system (see Fig. 11.).The isolation region begins when the exciting frequency is upper than the cut off frequency of the dampers. Before the levels are amplified, but they can be limited by using a high damping rubber. Fig. 9. Example of Ariane 5 shock absorbers With such dampers, the shock levels are reduced by two means : - Firstly with the mechanical filter effect induced by the low stiffness of the isolator. - Secondly with the damping effect induced by the use of an elastomer material Thus, attenuation upper than 40 db can be expected at high frequencies 2.2 Anti vibrations dampers During the launching phase, satellites and their equipments contend with a critical vibratory environment, which can damage definitively the onboard equipments. To protect them a viscoelastic dampers based on elastomer can be used as passive solution. Fig. 11. Typical transmissibility curve 2.3 Micro vibrations dampers Today to no disturb the accuracy of the onboard optical instruments, it is often necessary to damp the microvibrations generated by some of equipments such as reactions wheels, gyroscope, compressor, A good solution is to isolate disturbing equipments from the satellite structure with a viscoelastic damper. The efficiency is always based on the SDOF behavior but in this case the exciting source comes from the isolated equipment.

5 the ageing mechanism for an elastomer exposed to space environment. Three sources of ageing were identified today for elastomer materials exposed to space conditions: - The solar irradiations - The thermal amplitudes - The vacuum Fig. 12. Example of micro-vibration dampers 2.4 Structural damping The last application of rubber material is to bring damping structural and so to limit amplification modes of metallic parts, which can disturb the global system. To get there the rubber can be directly bounded on the part to damp. These three factors have consequences on all organic material, and influence the evolution of the rubber mechanical properties with time. Generally speaking, to deal with ageing problems of polymer, the most frequently used tools is the Arrhenius model which describes the velocity of one chemical reaction versus the temperature. Thus, for example, the kinetic of oxidation reaction inside the natural rubber can be predicted and the evolution of its rigidity can be predicted against the time. But about the space ageing, the using of Arrhenius gives only a roughly estimation, because there is not only one ageing mechanism but three, and moreover the combination of these three parameters have to be considered. In addition, there is no real feedback around all these questions: today no elastomer samples were analyzed after having spent time in orbit. Fig. 13. Links damped with SMACTANE rubber 3. ELASTOMERS AND SPACE ENVIRONMENT 3.1 Aggressiveness of space environment on rubber material As shown in the previous paragraph, rubber materials are interesting to reduce dynamic levels that it is with shock absorbers or vibration/microvibrations absorbers. Contrary to the launcher applications, the question of rubber ageing becomes important for all satellite applications with several years for life time. Indeed, it is necessary to validate the performances of rubber devices up to the end of the satellite life, and so to know So to understand better these ageing mechanisms inside rubber, a complete study cofinanced by CNES have just started with the MAPIEM laboratory, and it is based on SMACTANE rubber. Firstly the study will begin with a complete tests campaign to know the effect of each individual ageing source. And then the effects of their combination will be studied, to finally predict the mechanical evolution of the rubber exposed to space environment during 10 years. Hereafter the first results of this study which started with vacuum effect. 3.2 Vacuum and rubber outgassing The first effect of vacuum on elastomer is to release volatile molecules when it is exposed to high vacuum, and so they are not designed for space applications

6 because exceed the acceptance limits laid down in the ECSS-Q-70-02A (see figure XXX) Neoprene elastomer Nirile elastomer Polyurethane elastomer TML % RML% CVCM% Fig. 14. Outgassing value of standard rubber To improve these data, the first way is to apply a pre vacuum bake to decrease significantly the outgassing values below acceptance limits, as shown the following results obtained with SMACTANE rubber : Before vacuum bake Afetr vacuum bake ECSS-Q A This experiment shows it is possible to use elastomer in compliance with ECSS out gassing requirements by using specific compounding. 3.3 Vacuum and mechanical effects on rubber The first idea is to think the ageing of rubber should be better in vacuum due to the absence of oxygen. But this idea is wrong because vacuum brings some degradations inside the elastomer structure, because of several origins : Evaporation of light components Desorption Break of molecular chains To evaluate the mechanical effects of vacuum, a comparative study was performed on SMACTANE, using different vaccum conditions ( room pressure, primary vacuum and secondary vacuum) with the same thermal conditions. TML % RML% <1.0 CVCM% <0.1 Fig. 15. Pre vacuum bake effects on SMACTANE However the validity of this procedure is only demonstrated under µvcm experiments, where rather small sample than 2mm. And when a significant amount of rubber is enveloped by e metallic housing like a damper is used, a large amount of volatile material is still present in the core of material after the pre treatment. Fig. 16. View of samples during ageing tests Among the different mechanical tests performed on the aged samples, tension tests show the most important evolution of the rubber. Compared with the samples exposed to room pressure, the tension modulus of rubber increases significantly (+14%) after 14 days vacuum exposure (see Fig. 15). Finally the best solution is to work directly on the compounding of the rubber, to limit the amount of volatile material. Thus, after the identification of critical compounding materials into the SMACTANE, they have been substituted, treated and modified and a new formulation was created with very low out gassing rate : The SMACTANE SP (RML 0.31%, CVCM : 0.02%). Fig. 17. Effect of vacuum on SMACTANE tension modulus

7 On the other hand there is a low gap between the effects of primary and secondary vacuum. But these results can be discussed because tests were not performed on the outlet side of the vacuum facility, and so some hypothetical reversible reactions were not taken into account CONCLUSION Finally rubber materials can be adapted for space applications and particularly to solve dynamic problems. To use elastomer parts, it is enough to not forget that their behavior depends on temperature, frequency, and mechanical levels. That is why the environment (mechanical and thermal) has to be specified accuracy, and elastomer parts have to be associated with a range of performances and not with just one performance. Today the main progress way is to understand the complex ageing mechanism of these materials exposed to space environment, in order to validate their using for long time missions. To get there a study has just started and will be carried out up to 2012, to finally predict the behavior after a long time of an essential material : the rubber.

MATERIALS SCIENCE POLYMERS

MATERIALS SCIENCE POLYMERS POLYMERS 1) Types of Polymer (a) Plastic Possibly the largest number of different polymeric materials come under the plastic classification. Polyethylene, polypropylene, polyvinyl chloride, polystyrene,

More information

Mechanical properties of polymers: an overview. Suryasarathi Bose Dept. of Materials Engineering, IISc, Bangalore

Mechanical properties of polymers: an overview. Suryasarathi Bose Dept. of Materials Engineering, IISc, Bangalore Mechanical properties of polymers: an overview Suryasarathi Bose Dept. of Materials Engineering, IISc, Bangalore UGC-NRCM Summer School on Mechanical Property Characterization- June 2012 Overview of polymer

More information

Lecture No. (1) Introduction of Polymers

Lecture No. (1) Introduction of Polymers Lecture No. (1) Introduction of Polymers Polymer Structure Polymers are found in nature as proteins, cellulose, silk or synthesized like polyethylene, polystyrene and nylon. Some natural polymers can also

More information

Space mission environments: sources for loading and structural requirements

Space mission environments: sources for loading and structural requirements Space structures Space mission environments: sources for loading and structural requirements Prof. P. Gaudenzi Università di Roma La Sapienza, Rome Italy paolo.gaudenzi@uniroma1.it 1 THE STRUCTURAL SYSTEM

More information

Periodic table with the elements associated with commercial polymers in color.

Periodic table with the elements associated with commercial polymers in color. Polymers 1. What are polymers 2. Polymerization 3. Structure features of polymers 4. Thermoplastic polymers and thermosetting polymers 5. Additives 6. Polymer crystals 7. Mechanical properties of polymers

More information

(Refer Slide Time: 00:58)

(Refer Slide Time: 00:58) Nature and Properties of Materials Professor Bishak Bhattacharya Department of Mechanical Engineering Indian Institute of Technology Kanpur Lecture 18 Effect and Glass Transition Temperature In the last

More information

Thermal-Mechanical Decoupling by a Thermal Interface Material

Thermal-Mechanical Decoupling by a Thermal Interface Material Thermal-Mechanical Decoupling by a Thermal Interface Material Haibing Zhang, Ph.D. Research and Development Chemist Andy Cloud Product Development Manager Abstract Thermal-mechanical decoupling by a silicone

More information

Abvanced Lab Course. Dynamical-Mechanical Analysis (DMA) of Polymers

Abvanced Lab Course. Dynamical-Mechanical Analysis (DMA) of Polymers Abvanced Lab Course Dynamical-Mechanical Analysis (DMA) of Polymers M211 As od: 9.4.213 Aim: Determination of the mechanical properties of a typical polymer under alternating load in the elastic range

More information

MSC Elastomers Seminar Some Things About Elastomers

MSC Elastomers Seminar Some Things About Elastomers MSC Elastomers Seminar Some Things About Elastomers Kurt Miller, Axel Products, Inc. www.axelproducts.com Visit us at: axelproducts.com 2 Your Presenter Kurt Miller Founded Axel Products 1994 Instron Corporation,

More information

Mechanical Properties of Polymers. Scope. MSE 383, Unit 3-1. Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept.

Mechanical Properties of Polymers. Scope. MSE 383, Unit 3-1. Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept. Mechanical Properties of Polymers Scope MSE 383, Unit 3-1 Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept. Structure - mechanical properties relations Time-dependent mechanical

More information

EFFECT OF SOY PROTEIN AND CARBOHYDRATE RATIO ON THE VISCOELASTIC PROPERTIES OF STYRENE-BUTADIENE COMPOSITES

EFFECT OF SOY PROTEIN AND CARBOHYDRATE RATIO ON THE VISCOELASTIC PROPERTIES OF STYRENE-BUTADIENE COMPOSITES EFFECT OF SOY PROTEIN AND CARBOHYDRATE RATIO ON THE VISCOELASTIC PROPERTIES OF STYRENE-BUTADIENE COMPOSITES Lei Jong Department of Agriculture, National Center for Agricultural Utilization Research 1815

More information

MOOC QP Set 2 Principles of Vibration Control

MOOC QP Set 2 Principles of Vibration Control Section I Section II Section III MOOC QP Set 2 Principles of Vibration Control (TOTAL = 100 marks) : 20 questions x 1 mark/question = 20 marks : 20 questions x 2 marks/question = 40 marks : 8 questions

More information

POLYMER SCIENCE : lecture 1. Dr. Hanaa J. Alshimary Second class Poly. Eng. Dep. Introduction of Polymers Polymer poly mer Monomer Polymerization

POLYMER SCIENCE : lecture 1. Dr. Hanaa J. Alshimary Second class Poly. Eng. Dep. Introduction of Polymers Polymer poly mer Monomer Polymerization Introduction of Polymers Polymer - The word polymer is the Greek word : poly means many and mer means unit or parts, A Polymer is a large molecule that comprises repeating structural units joined by the

More information

Dynamic Finite Element Modeling of Elastomers

Dynamic Finite Element Modeling of Elastomers Dynamic Finite Element Modeling of Elastomers Jörgen S. Bergström, Ph.D. Veryst Engineering, LLC, 47A Kearney Rd, Needham, MA 02494 Abstract: In many applications, elastomers are used as a load-carrying

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

MSE 383, Unit 3-3. Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept.

MSE 383, Unit 3-3. Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept. Dynamic Mechanical Behavior MSE 383, Unit 3-3 Joshua U. Otaigbe Iowa State University Materials Science & Engineering Dept. Scope Why DMA & TTS? DMA Dynamic Mechanical Behavior (DMA) Superposition Principles

More information

Regupol. Vibration

Regupol. Vibration Regupol Vibration 48 www.vibratec.se Standard forms of delivery, ex warehouse Rolls Thickness: 15 mm Length: 1, mm, special length available Width: 1,25 mm Stripping/Plates On request Die-cutting, water-jet

More information

MOOC QP Set 1 Principles of Vibration Control

MOOC QP Set 1 Principles of Vibration Control Section I Section II Section III MOOC QP Set 1 Principles of Vibration Control (TOTAL = 100 marks : 0 questions x 1 mark/question = 0 marks : 0 questions x marks/question = 40 marks : 8 questions x 5 marks/question

More information

Estimation of damping capacity of rubber vibration isolators under harmonic excitation

Estimation of damping capacity of rubber vibration isolators under harmonic excitation Estimation of damping capacity of rubber vibration isolators under harmonic excitation Svetlana Polukoshko Ventspils University College, Engineering Research Institute VSRC, Ventspils, Latvia E-mail: pol.svet@inbox.lv

More information

I INTRODUCTION II THEORY

I INTRODUCTION II THEORY Estimation of Loss Factor of Viscoelastic Material by Using Cantilever Sandwich Plate 1 Jitender Kumar, 2 Dr. Rajesh Kumar 1 Geeta Engineering College (Panipat) 2 SLIET Longowal, Punjab 1 jitd2007@rediffmail.com

More information

Dynamic Mechanical Analysis of Solid Polymers and Polymer Melts

Dynamic Mechanical Analysis of Solid Polymers and Polymer Melts Polymer Physics 2015 Matilda Larsson Dynamic Mechanical Analysis of Solid Polymers and Polymer Melts Polymer & Materials Chemistry Introduction Two common instruments for dynamic mechanical thermal analysis

More information

Measurement Techniques for Engineers. Motion and Vibration Measurement

Measurement Techniques for Engineers. Motion and Vibration Measurement Measurement Techniques for Engineers Motion and Vibration Measurement Introduction Quantities that may need to be measured are velocity, acceleration and vibration amplitude Quantities useful in predicting

More information

POLYMER CHEMISTRY Lecture/Lession Plan -2

POLYMER CHEMISTRY Lecture/Lession Plan -2 Chapter 6 POLYMER CHEMISTRY Lecture/Lession Plan -2 POLYMER CHEMISTRY 6.0.1 Classification on the basis of tactility On the basis of orientation of functional group or side groups throughout the long backbone

More information

1. Demonstrate that the minimum cation-to-anion radius ratio for a coordination number of 8 is

1. Demonstrate that the minimum cation-to-anion radius ratio for a coordination number of 8 is 1. Demonstrate that the minimum cation-to-anion radius ratio for a coordination number of 8 is 0.732. This problem asks us to show that the minimum cation-to-anion radius ratio for a coordination number

More information

OPTIMISING THE MECHANICAL CHARACTERISATION OF A RESILIENT INTERLAYER FOR THE USE IN TIMBER CON- STRUCTION

OPTIMISING THE MECHANICAL CHARACTERISATION OF A RESILIENT INTERLAYER FOR THE USE IN TIMBER CON- STRUCTION OPTIMISING THE MECHANICAL CHARACTERISATION OF A RESILIENT INTERLAYER FOR THE USE IN TIMBER CON- STRUCTION Luca Barbaresi, Federica Morandi, Juri Belcari, Andrea Zucchelli and Alice Speranza University

More information

Improved stress prediction in adhesive bonded optical components

Improved stress prediction in adhesive bonded optical components Improved stress prediction in adhesive bonded optical components J. de Vreugd 1a, M.J.A. te Voert a, J.R. Nijenhuis a, J.A.C.M. Pijnenburg a, E. Tabak a a TNO optomechatronics, Stieltjesweg 1, 2628 CK,

More information

Regufoam. Vibration 270 Plus.

Regufoam. Vibration 270 Plus. Regufoam Vibration 27 Plus www.vibratec.se Standard forms of delivery, ex warehouse Rolls Thickness: 12.5 and 25 mm, special thicknesses on request Length: 5, mm, special lengths available Width: 1,5 mm

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

Rheological And Dielectric Characterization of Thermosetting Polymers. Jeffrey Gotro, Ph.D.

Rheological And Dielectric Characterization of Thermosetting Polymers. Jeffrey Gotro, Ph.D. Rheological And Dielectric Characterization of Thermosetting Polymers Outline Introduction Oscillatory parallel plate rheometry Dynamic dielectric measurements Simultaneous dynamic mechanical/dielectric

More information

Spacecraft Structures

Spacecraft Structures Tom Sarafin Instar Engineering and Consulting, Inc. 6901 S. Pierce St., Suite 384, Littleton, CO 80128 303-973-2316 tom.sarafin@instarengineering.com Functions Being Compatible with the Launch Vehicle

More information

Polymers are high molecular mass macromolecules composed of repeating structural

Polymers are high molecular mass macromolecules composed of repeating structural Question 15.1: Explain the terms polymer and monomer. Polymers are high molecular mass macromolecules composed of repeating structural units derived from monomers. Polymers have a high molecular mass (10

More information

COMPLEX MODULUS AND DAMPING MEASUREMENTS USING RESONANT AND NON-RESONANT METHODS

COMPLEX MODULUS AND DAMPING MEASUREMENTS USING RESONANT AND NON-RESONANT METHODS COMPLEX MODULUS AND DAMPING MEASUREMENTS USING RESONANT AND NON-RESONANT METHODS S. Gade, K. Zaveri, H. Konstantin-Hansen and H. Herlufsen Briiel & Kjaer, Skodsborgvej 307,285O Naerum, Denmark ABSTRACT

More information

Testing and Analysis

Testing and Analysis Testing and Analysis Testing Elastomers for Hyperelastic Material Models in Finite Element Analysis 2.6 2.4 2.2 2.0 1.8 1.6 1.4 Biaxial Extension Simple Tension Figure 1, A Typical Final Data Set for Input

More information

DEVELOPMENT OF A NOVEL ACTIVE ISOLATION CONCEPT 1

DEVELOPMENT OF A NOVEL ACTIVE ISOLATION CONCEPT 1 DEVELOPMENT OF A NOVEL ACTIVE ISOLATION CONCEPT 1 Michiel J. Vervoordeldonk, Theo A.M. Ruijl, Rob M.G. Rijs Philips Centre for Industrial Technology, PO Box 518, 5600 MD Eindhoven, The Netherlands 2 1

More information

MATERIALS. Why do things break? Why are some materials stronger than others? Why is steel tough? Why is glass brittle?

MATERIALS. Why do things break? Why are some materials stronger than others? Why is steel tough? Why is glass brittle? MATERIALS Why do things break? Why are some materials stronger than others? Why is steel tough? Why is glass brittle? What is toughness? strength? brittleness? Elemental material atoms: A. Composition

More information

NITRILE RUBBER (NBR) NANOCOMPOSITES BASED ON DIFFERENT FILLER GEOMETRIES (Nanocalcium carbonate, Carbon nanotube and Nanoclay)

NITRILE RUBBER (NBR) NANOCOMPOSITES BASED ON DIFFERENT FILLER GEOMETRIES (Nanocalcium carbonate, Carbon nanotube and Nanoclay) CHAPTER 5 NITRILE RUBBER (NBR) NANOCOMPOSITES BASED ON DIFFERENT FILLER GEOMETRIES (Nanocalcium carbonate, Carbon nanotube and Nanoclay) 5.1 Introduction Nanocalcium carbonate (NCC) is a particulate nanofiller

More information

Malleable, Mechanically Strong, and Adaptive Elastomers. Enabled by Interfacial Exchangeable Bonds

Malleable, Mechanically Strong, and Adaptive Elastomers. Enabled by Interfacial Exchangeable Bonds Malleable, Mechanically Strong, and Adaptive Elastomers Enabled by Interfacial Exchangeable Bonds Zhenghai Tang, Yingjun Liu, Baochun Guo,*, and Liqun Zhang*, Department of Polymer Materials and Engineering,

More information

e jωt = cos(ωt) + jsin(ωt),

e jωt = cos(ωt) + jsin(ωt), This chapter introduces you to the most useful mechanical oscillator model, a mass-spring system with a single degree of freedom. Basic understanding of this system is the gateway to the understanding

More information

Johns Hopkins University What is Engineering? M. Karweit MATERIALS

Johns Hopkins University What is Engineering? M. Karweit MATERIALS Why do things break? Why are some materials stronger than others? Why is steel tough? Why is glass brittle? What is toughness? strength? brittleness? Elemental material atoms: MATERIALS A. Composition

More information

Polymer engineering syllabus (BSc)

Polymer engineering syllabus (BSc) Polymer engineering syllabus (BSc) First semester Math 1 Physics 1 Physics 1 lab General chemistry General chemistry lab workshop Second semester Math 2 Physics 2 Organic chemistry 1 Organic chemistry

More information

The functionality of a monomer is the number of binding sites that is/are present in that monomer.

The functionality of a monomer is the number of binding sites that is/are present in that monomer. Question 15.1: Explain the terms polymer and monomer. Polymers are high molecular mass macromolecules composed of repeating structural units derived from monomers. Polymers have a high molecular mass (10

More information

2. Amorphous or Crystalline Structurally, polymers in the solid state may be amorphous or crystalline. When polymers are cooled from the molten state

2. Amorphous or Crystalline Structurally, polymers in the solid state may be amorphous or crystalline. When polymers are cooled from the molten state 2. Amorphous or Crystalline Structurally, polymers in the solid state may be amorphous or crystalline. When polymers are cooled from the molten state or concentrated from the solution, molecules are often

More information

Periodic Material-based Design of Seismic Support Isolation for Industrial Facilities

Periodic Material-based Design of Seismic Support Isolation for Industrial Facilities , June 29 - July 1, 216, London, U.K. Periodic Material-based Design of Seismic Support Isolation for Industrial Facilities Witarto Witarto, S. J. Wang, Y. L. Mo, K. C. Chang, Yu Tang, and Robert P. Kassawara

More information

Thermoplastic. Condensation. Homopolymer. Polymer POLYMERS. Synthetic. Natural. Addition. Copolymer. Polymer. Thermosetting

Thermoplastic. Condensation. Homopolymer. Polymer POLYMERS. Synthetic. Natural. Addition. Copolymer. Polymer. Thermosetting Thermoplastic Homopolymer Condensation Polymer Natural POLYMERS Synthetic Addition Polymer Copolymer Thermosetting Polymers are very large covalent molecular substances containing tens of thousands of

More information

The 2S2P1D: An Excellent Linear Viscoelastic Model

The 2S2P1D: An Excellent Linear Viscoelastic Model The 2S2P1D: An Excellent Linear Viscoelastic Model Md. Yusoff 1, N. I., Monieur, D. 2, Airey, G. D. 1 Abstract An experimental campaign has been carried out on five different unaged and five aged penetration

More information

Mechanical Properties of Styrene-Butadiene Rubber Cured by Ionizing Radiation in the Presence of Sulfur and Polyfunctional Agent

Mechanical Properties of Styrene-Butadiene Rubber Cured by Ionizing Radiation in the Presence of Sulfur and Polyfunctional Agent MY9800964 Mechanical Properties of Styrene-Butadiene Rubber Cured by Ionizing Radiation in the Presence of Sulfur and Polyfunctional Agent A.A. Basfar, M.M. Abdel-Aziz*, and F.A. Al-Harithy Institute of

More information

Lecture Module 5: Introduction to Attitude Stabilization and Control

Lecture Module 5: Introduction to Attitude Stabilization and Control 1 Lecture Module 5: Introduction to Attitude Stabilization and Control Lectures 1-3 Stability is referred to as a system s behaviour to external/internal disturbances (small) in/from equilibrium states.

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

Module 4: Dynamic Vibration Absorbers and Vibration Isolator Lecture 19: Active DVA. The Lecture Contains: Development of an Active DVA

Module 4: Dynamic Vibration Absorbers and Vibration Isolator Lecture 19: Active DVA. The Lecture Contains: Development of an Active DVA The Lecture Contains: Development of an Active DVA Proof Mass Actutor Application of Active DVA file:///d /chitra/vibration_upload/lecture19/19_1.htm[6/25/2012 12:35:51 PM] In this section, we will consider

More information

Temperature Effects on LIGO Damped Coil Springs

Temperature Effects on LIGO Damped Coil Springs LIGO-T97241--D HYTEC-TN-LIGO-18 Temperature Effects on LIGO Damped Coil Springs Franz Biehl July 28, 1997 Abstract A simple method for estimating a damping material stiffness and loss factor as a function

More information

Chapter 5 Design. D. J. Inman 1/51 Mechanical Engineering at Virginia Tech

Chapter 5 Design. D. J. Inman 1/51 Mechanical Engineering at Virginia Tech Chapter 5 Design Acceptable vibration levels (ISO) Vibration isolation Vibration absorbers Effects of damping in absorbers Optimization Viscoelastic damping treatments Critical Speeds Design for vibration

More information

Contents. Dynamics and control of mechanical systems. Focus on

Contents. Dynamics and control of mechanical systems. Focus on Dynamics and control of mechanical systems Date Day 1 (01/08) Day 2 (03/08) Day 3 (05/08) Day 4 (07/08) Day 5 (09/08) Day 6 (11/08) Content Review of the basics of mechanics. Kinematics of rigid bodies

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

Dynamics and control of mechanical systems

Dynamics and control of mechanical systems Dynamics and control of mechanical systems Date Day 1 (03/05) - 05/05 Day 2 (07/05) Day 3 (09/05) Day 4 (11/05) Day 5 (14/05) Day 6 (16/05) Content Review of the basics of mechanics. Kinematics of rigid

More information

Development of a Rubber for a Tuned Mass Damper for Rail Vibration

Development of a Rubber for a Tuned Mass Damper for Rail Vibration Development of a Rubber for a Tuned Mass Damper for Rail Vibration A H Muhr For RIEG Discussion Meeting on Vibration Control with Elastomer Products DTR VMS, Trowbridge, 6 th June 2014 Based on PhD thesis

More information

MATERIAL MODELS FOR CRUMB RUBBER AND TDA. California State University, Chico

MATERIAL MODELS FOR CRUMB RUBBER AND TDA. California State University, Chico MATERIAL MODELS FOR CRUMB RUBBER AND TDA California State University, Chico Waste Tire Products for CE Applications Whole Tires Tire Shreds (TDA) Crumb Rubber/Tire Buffings Whole Tires TIRE DERIVED AGGREGATE

More information

Viking Longships, Venetian Galleys, and a New Fluoro-Polyphosphazene Architecture

Viking Longships, Venetian Galleys, and a New Fluoro-Polyphosphazene Architecture Viking Longships, Venetian Galleys, and a New Fluoro-Polyphosphazene Architecture There are two fundamentally different types of polymers 1. Those in which the side groups are already present in the monomer

More information

A CRITERION OF TENSILE FAILURE FOR HYPERELASTIC MATERIALS AND ITS APPLICATION TO VISCOELASTIC-VISCOPLASTIC MATERIALS

A CRITERION OF TENSILE FAILURE FOR HYPERELASTIC MATERIALS AND ITS APPLICATION TO VISCOELASTIC-VISCOPLASTIC MATERIALS MTS ADHESIVES PROGRAMME 1996-1999 PERFORMANCE OF ADHESIVE JOINTS Project: PAJ1; Failure Criteria and their Application to Visco-Elastic/Visco-Plastic Materials Report 2 A CRITERION OF TENSILE FAILURE FOR

More information

Chapter 13 - Polymers Introduction

Chapter 13 - Polymers Introduction Chapter 13 - Polymers Introduction I. Nomenclature A. Polymer/Macromolecule polymer - nonmetallic material consisting of large molecules composed of many repeating units - from Greek: poly (many) and meros

More information

APPLICATIONS OF HERMETICALLY SEALED FLUID DAMPERS FOR LOW LEVEL, WIDE BANDWIDTH VIBRATION ISOLATION

APPLICATIONS OF HERMETICALLY SEALED FLUID DAMPERS FOR LOW LEVEL, WIDE BANDWIDTH VIBRATION ISOLATION APPLICATIONS OF HERMETICALLY SEALED FLUID DAMPERS FOR LOW LEVEL, WIDE BANDWIDTH VIBRATION ISOLATION by Alan R. Klembczyk, Chief Engineer Taylor Devices, Inc. 90 Taylor Drive North Tonawanda, NY 14120-0748

More information

Testing Elastomers and Plastics for Marc Material Models

Testing Elastomers and Plastics for Marc Material Models Testing Elastomers and Plastics for Marc Material Models Presented by: Kurt Miller Axel Products, Inc. axelproducts.com We Measure Structural Properties Stress Strain Time-Temperature Test Combinations

More information

Gossamer Spacecraft: Membrane and Inflatable Structures Technology for Space Applications

Gossamer Spacecraft: Membrane and Inflatable Structures Technology for Space Applications Gossamer Spacecraft: Membrane and Inflatable Structures Technology for Space Applications Edited by Christopher H. M. Jenkins South Dakota School of Mines Volume 191 PROGRESS IN ASTRONAUTICS AND AERONAUTICS

More information

BIOEN LECTURE 18: VISCOELASTIC MODELS

BIOEN LECTURE 18: VISCOELASTIC MODELS BIOEN 326 2013 LECTURE 18: VISCOELASTIC MODELS Definition of Viscoelasticity. Until now, we have looked at time-independent behaviors. This assumed that materials were purely elastic in the conditions

More information

Understanding Frequency Domain Viscoelasticity in Abaqus

Understanding Frequency Domain Viscoelasticity in Abaqus Paper # 12 Understanding Frequency Domain Viscoelasticity in Abaqus By Saurabh Bahuguna, Randy Marlow*, and Tod Dalrymple Dassault Systèmes Simulia Corp., Great Lakes Region Presented at the Fall 172 nd

More information

Rocket Propulsion. Combustion chamber Throat Nozzle

Rocket Propulsion. Combustion chamber Throat Nozzle Rocket Propulsion In the section about the rocket equation we explored some of the issues surrounding the performance of a whole rocket. What we didn t explore was the heart of the rocket, the motor. In

More information

Modelling of viscoelastic properties of a curing adhesive

Modelling of viscoelastic properties of a curing adhesive Computational Methods and Experiments in Materials Characterisation III 241 Modelling of viscoelastic properties of a curing adhesive J. de Vreugd 1, K. M. B. Jansen 1, L. J. Ernst 1 & J. A. C. M. Pijnenburg

More information

A MECHANICAL MODEL FOR THE DYNAMICAL CONTACT OF ELASTIC ROUGH BODIES WITH VISCOELASTIC PROPERTIES

A MECHANICAL MODEL FOR THE DYNAMICAL CONTACT OF ELASTIC ROUGH BODIES WITH VISCOELASTIC PROPERTIES 11 th International Conference on Engineering Vibration Ljubljana, Slovenia, 7 10 September 2015 A MECHANICAL MODEL FOR THE DYNAMICAL CONTACT OF ELASTIC ROUGH BODIES WITH VISCOELASTIC PROPERTIES Frank

More information

CONSIDERATIONS ON THE NON-LINEAR MODELLING OF THE DYNAMICS OF THE VIBRATION AND SHOCK ISOLATORS MADE FROM COMPOSITE NEOPRENE

CONSIDERATIONS ON THE NON-LINEAR MODELLING OF THE DYNAMICS OF THE VIBRATION AND SHOCK ISOLATORS MADE FROM COMPOSITE NEOPRENE THE ANNALS OF "DUNAREA DE JOS" UNIVERSITY OF GALATI FASCICLE XIV MECHANICHAL ENGINEERING, ISSN 1224-5615 2010 CONSIDERATIONS ON THE NON-LINEAR MODELLING OF THE DYNAMICS OF THE VIBRATION AND SHOCK ISOLATORS

More information

Launch Environment. Phase C. Date : 06/03/2008 Issue : 1 Rev : 6 Page : 1 of 23. Prepared by: Guillaume Roethlisberger. Checked by: Approved by:

Launch Environment. Phase C. Date : 06/03/2008 Issue : 1 Rev : 6 Page : 1 of 23. Prepared by: Guillaume Roethlisberger. Checked by: Approved by: Page : 1 of 23 Phase C Launch Environment Prepared by: Guillaume Roethlisberger Checked by: Approved by: EPFL Lausanne Switzerland 06/03/2008 Page : 2 of 23 RECORD OF REVISIONS ISS/REV Date Modifications

More information

Dynamics of Machinery

Dynamics of Machinery Dynamics of Machinery Two Mark Questions & Answers Varun B Page 1 Force Analysis 1. Define inertia force. Inertia force is an imaginary force, which when acts upon a rigid body, brings it to an equilibrium

More information

How materials work. Compression Tension Bending Torsion

How materials work. Compression Tension Bending Torsion Materials How materials work Compression Tension Bending Torsion Elemental material atoms: A. Composition a) Nucleus: protons (+), neutrons (0) b) Electrons (-) B. Neutral charge, i.e., # electrons = #

More information

10 Measurement of Acceleration, Vibration and Shock Transducers

10 Measurement of Acceleration, Vibration and Shock Transducers Chapter 10: Acceleration, Vibration and Shock Measurement Dr. Lufti Al-Sharif (Revision 1.0, 25/5/2008) 1. Introduction This chapter examines the measurement of acceleration, vibration and shock. It starts

More information

Characterisation of Crosslinks in Vulcanised Rubbers: From Simple to Advanced Techniques

Characterisation of Crosslinks in Vulcanised Rubbers: From Simple to Advanced Techniques Characterisation of Crosslinks in Vulcanised Rubbers: From Simple to Advanced Techniques K.L. Mok* and A.H. Eng** *Malaysian Rubber Board, Paper Presenter **Malaysian Institute of Chemistry 1 Rubber &

More information

Influence of electromagnetic stiffness on coupled micro vibrations generated by solar array drive assembly

Influence of electromagnetic stiffness on coupled micro vibrations generated by solar array drive assembly Influence of electromagnetic stiffness on coupled micro vibrations generated by solar array drive assembly Mariyam Sattar 1, Cheng Wei 2, Awais Jalali 3 1, 2 Beihang University of Aeronautics and Astronautics,

More information

GB/T / ISO 527-1:1993

GB/T / ISO 527-1:1993 Translated English of Chinese Standard: GB/T1040.1-2006 www.chinesestandard.net Sales@ChineseStandard.net GB NATIONAL STANDARD OF THE PEOPLE S REPUBLIC OF CHINA ICS 83.080.01 G 31 GB/T 1040.1-2006 / ISO

More information

VIII. Rubber Elasticity [B.Erman, J.E.Mark, Structure and properties of rubberlike networks]

VIII. Rubber Elasticity [B.Erman, J.E.Mark, Structure and properties of rubberlike networks] VIII. Rubber Elasticity [B.Erman, J.E.Mark, Structure and properties of rubberlike networks] Using various chemistry, one can chemically crosslink polymer chains. With sufficient cross-linking, the polymer

More information

Creep. Creep behavior of viscoelastic polymeric materials

Creep. Creep behavior of viscoelastic polymeric materials B1 Version: 2.2_EN Date: 15. March 2018. BUDAPEST UNIVERSITY OF TECHNOLOGY AND ECONOMICS FACULTY OF MECHANICAL ENGINEERING DEPARTMENT OF POLYMER ENGINEERING Creep Creep behavior of viscoelastic polymeric

More information

Quiz 1. Introduction to Polymers

Quiz 1. Introduction to Polymers 100406 Quiz 1. Introduction to Polymers 1) Polymers are different than low-molecular weight oligomers. For example an oligomeric polyethylene is wax, oligomeric polystyrene is similar to naphthalene (moth

More information

Introduction to Mechanical Vibration

Introduction to Mechanical Vibration 2103433 Introduction to Mechanical Vibration Nopdanai Ajavakom (NAV) 1 Course Topics Introduction to Vibration What is vibration? Basic concepts of vibration Modeling Linearization Single-Degree-of-Freedom

More information

POLYMER STRUCTURES ISSUES TO ADDRESS...

POLYMER STRUCTURES ISSUES TO ADDRESS... POLYMER STRUTURES ISSUES TO ADDRESS... What are the basic microstructural features? ow are polymer properties effected by molecular weight? ow do polymeric crystals accommodate the polymer chain? Melting

More information

OPTI 521, Optomechanical Design, Technical Paper Reviews, Dr. Jim Burge, 2011

OPTI 521, Optomechanical Design, Technical Paper Reviews, Dr. Jim Burge, 2011 Synopsis of Predicting the vibration characteristics of elements incorporating Incompressible and Compressible Viscoelastic Materials Abstract Jacob Etter OPTI 521, University of Arizona, College of Optical

More information

Strain Gauges and Accessories

Strain Gauges and Accessories Strain Gauges and Accessories Nurgül Er nurguel.er@hbm.com www.hbm.com 19.03.2008, Folie 1 Hottinger Baldwin Messtechnik GmbH Nurgül Er How to find the right strain gauge a wide range of of strain gauges

More information

MATERIALS SCIENCE TEST Part 1: Structure & Synthesis Topics

MATERIALS SCIENCE TEST Part 1: Structure & Synthesis Topics Fairfax Science Olympiad Tryouts 2018 Name: _ Score: /75 MATERIALS SCIENCE TEST Part 1: Structure & Synthesis Topics In questions 1-6, draw a diagram of the named functional group. Use R to denote the

More information

AN OVERVIEW OF THE E.C.S.S. HANDBOOK FOR SPACECRAFT LOADS ANALYSIS

AN OVERVIEW OF THE E.C.S.S. HANDBOOK FOR SPACECRAFT LOADS ANALYSIS COMPDYN 2011 III ECCOMAS Thematic Conference on Computational Methods in Structural Dynamics and Earthquake Engineering M. Papadrakakis, M. Fragiadakis, V. Plevris (eds.) Corfu, Greece, 25 28 May 2011

More information

Theory & Practice Of Vulcanization

Theory & Practice Of Vulcanization Theory & Practice Of Vulcanization DANIEL L. HERTZ, JR. SEALS EASTERN INC. RED BANK, NJ 07701 This paper concerns the theory and practice of vulcanization - the process of adding crosslinks to long-chain

More information

Material History. Is American culture currently being defined

Material History. Is American culture currently being defined Introduction ti to Materials What Are Materials? Substances out of which all things are made Currently MatWeb Material Property Data website lists over 76,000 individually unique materials What materials

More information

APPLICATIONS OF THERMAL ANALYSIS IN POLYMER AND COMPOSITES CHARACTERIZATION. Wei Xie TA Instruments

APPLICATIONS OF THERMAL ANALYSIS IN POLYMER AND COMPOSITES CHARACTERIZATION. Wei Xie TA Instruments APPLICATIONS OF THERMAL ANALYSIS IN POLYMER AND COMPOSITES CHARACTERIZATION Wei Xie TA Instruments Abstract Thermal Analysis is the generic name for a series of measurement techniques traditionally used

More information

CHANGE OF EXPERIMENTAL YOUNG S MODULUS WITH INCREASING TEMPERATURE FOR AN ABS MATERIAL SUBJECTED TO TENSILE TEST

CHANGE OF EXPERIMENTAL YOUNG S MODULUS WITH INCREASING TEMPERATURE FOR AN ABS MATERIAL SUBJECTED TO TENSILE TEST CHANGE OF EXPERIMENTAL YOUNG S MODULUS WITH INCREASING TEMPERATURE FOR AN ABS MATERIAL SUBJECTED TO TENSILE TEST A. En-Naji 1, N. Mouhib 1,2, M. Lahlou 1, H. Farid 3 and M. El Ghorba 1 1 Laboratory of

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

9 MECHANICAL PROPERTIES OF SOLIDS

9 MECHANICAL PROPERTIES OF SOLIDS 9 MECHANICAL PROPERTIES OF SOLIDS Deforming force Deforming force is the force which changes the shape or size of a body. Restoring force Restoring force is the internal force developed inside the body

More information

Introduction to Engineering Materials ENGR2000 Chapter 14: Polymer Structures. Dr. Coates

Introduction to Engineering Materials ENGR2000 Chapter 14: Polymer Structures. Dr. Coates Introduction to Engineering Materials ENGR2000 Chapter 14: Polymer Structures Dr. Coates 14.1 Introduction Naturally occurring polymers Wood, rubber, cotton, wool, leather, silk Synthetic polymers Plastics,

More information

Physics 3 Summer 1989 Lab 7 - Elasticity

Physics 3 Summer 1989 Lab 7 - Elasticity Physics 3 Summer 1989 Lab 7 - Elasticity Theory All materials deform to some extent when subjected to a stress (a force per unit area). Elastic materials have internal forces which restore the size and

More information

A Simple Approximate Method for Predicting Impact Force History and Application to Pyroshock Simulation

A Simple Approximate Method for Predicting Impact Force History and Application to Pyroshock Simulation , July 4-6, 2018, London, U.K. A Simple Approximate Method for Predicting Impact Force History and Application to Pyroshock Simulation Mun-Guk Kim, In-Gul Kim, Eun-Su Go, Min-Hyeok Jeon, Min-Song Kang,

More information

This document is a preview generated by EVS

This document is a preview generated by EVS INTERNATIONAL STANDARD ISO 18437-1 First edition 2012-08-15 Mechanical vibration and shock Characterization of the dynamic mechanical properties of visco-elastic materials Part 1: Principles and guidelines

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

T1 T e c h n i c a l S e c t i o n

T1 T e c h n i c a l S e c t i o n 1.5 Principles of Noise Reduction A good vibration isolation system is reducing vibration transmission through structures and thus, radiation of these vibration into air, thereby reducing noise. There

More information

Francisco Paulo Lépore Neto. Marcelo Braga dos Santos. Introduction 1. Nomenclature. Experimental Apparatus and Formulation

Francisco Paulo Lépore Neto. Marcelo Braga dos Santos. Introduction 1. Nomenclature. Experimental Apparatus and Formulation Francisco Paulo Lépore Neto and Marcelo Braga dos Santos Francisco Paulo Lépore Neto fplepore@mecanica.ufu.br Federal University of Uberlandia School of Mechanical Engineering 38408-902 Uberlandia, MG,

More information

ENGINEERING FOR RURAL DEVELOPMENT Jelgava, MECHANICAL BEHAVIOR OF RUBBER SAMPLES UNDER RELAXATION

ENGINEERING FOR RURAL DEVELOPMENT Jelgava, MECHANICAL BEHAVIOR OF RUBBER SAMPLES UNDER RELAXATION MECHANICAL BEHAVIOR OF RUBBER SAMPLES UNDER RELAXATION Ruslan Askarbekov, David Herak, Cestmir Mizera Czech University of Life Sciences Prague askarbekovu@gmail.com, herak@tf.czu.cz, mizera@tf.czu.cz Abstract.

More information

Dynamic Measurement of Engine Mount Properties Using Hysteresis Loop Method

Dynamic Measurement of Engine Mount Properties Using Hysteresis Loop Method Dynamic Measurement of Engine Mount Properties Using Hysteresis Loop Method Iskandazaqwan Zikrullah Zainudin School of Mechanical Engineering, Universiti Sains Malaysia, Penang, MALAYSIA Hasratul Azwan

More information