International Journal of Modern Trends in Engineering and Research e-issn No.: , Date: April, 2016
|
|
- Abraham Carr
- 6 years ago
- Views:
Transcription
1 International Journal of Modern Trends in Engineering and Research e-issn No.: , Date: 8-30 April, 016 Numerical Analysis of Fluid Flow Induced Vibration of Pipes A Review Amol E Suradkar 1 Shubham R Suryawanshi 1 Department of Mechanical Engineering, MET s BKC IOE, Nasik, amolsuradkar05@gmail.com Department of Mechanical Engineering, MET s BKC IOE, Nasik, shubhamsuryawanshi55@gmail.com Abstract- The current research paper deals with the effects of vibration due to internal fluid flow in a pipeline. The flow of a fluid through a pipe can impose pressures on the walls of the pipe causing it to deflect under certain flow conditions. The deflection of the pipe may lead to structural instability of the pipe. Mathematical model of pinned pinned pipe carrying fluid has been developed. The partial differential equation of motion governing the lateral vibrations of the pipe is employed to develop the stiffness matrices corresponding to two of the terms of the equations of motion. The Equation of motion includes a mixed-derivative terms. As for boundary condition, namely simplysupported pipe is considered.. Keywords- Structural instability, flow induced vibration, Mathematical model, Stiffness matrix, Structural inertia. I. INTRODUCTION Vibration and noise problems due to fluid flow occur in many industrial plants. This obstructs smooth plant operation. This leads to significant maintenance and repair costs. Flow-related vibration phenomena are generally known as flow-induced vibrations (FIV). The term flow-induced vibration and noise (FIVN) is used when flow-induced noise is present. It is fairly evident that the fluid force acting on an obstacle in flow will vary due to the flow unsteadiness and that the varying force, in turn, may cause vibration of the obstacle. In case of piping connected to reciprocating fluid machines, for example, the oscillating (fluctuating) flow in the piping generates excitation forces causing piping vibration. Flow induced vibration of pipes has been a subject of considerable research in the last four decades. By using the flow induced vibration we can develop electromagnetic energy. In the oil field development and production, fluid flow is an extremely important parameter which determines the transmission characteristics of the oil production structural failure due to flow induced vibration is a common problem affecting performance and reliability of heat exchangers. Under certain conditions fluid flow inside a pipe can initiate vibrations of the pipe. If the vibration intensity is large enough pipes can strike against each other or against their supports causing structural fatigue or complete failure. Flow induced vibration also occur in transcontinental oil pipelines causing damage of support structure or cracks of the pipelines leading to costly shut down. As the pipes are widely used in many industrial fields, flow-induced vibration analysis of pipes conveying fluid has been one of the attractive subjects in structural dynamics. It is well known that pipeline systems may undergo divergence and flutter types of instabilities generated by fluid-structure All rights Reserved 1058
2 Volume 3, Issue 4, [April 016] Special Issue of ICRTET 016 In many situations where machines are operating and fluids are transported. Pipe system are responsible for the transmission of noise, e.g. in buildings, ships, power plants, process plants, etc. Excessive vibrations may lead to fatigue and cause damage to vital parts of installations. Fluid pulsations may also cause incorrect reading of flow meters and other control devices and the wastage of money and time also.the monitoring of pulsations or vibrations can be valuable to diagnose those problems. So that there is a scope to investigate the response of a structure due to combined loading of fluid, fluid inertia and structural inertia. Hence in the present study an attempt will be made to investigate the factors influencing flow induced vibration. II. LITERATURE REVIEW Determination of flow induced vibration of pipelines due to an internal flow becomes a subject of considerable importance. Literature reflects studies related to flow induced vibrations in the last four decades. On the basis of aim and objective the literature review is as follows, The fast Fourier transform FFT is used to investigate the structural dynamic characteristics and the internal fluid transient properties. The wave characteristics, divergence stability and dynamics of the viscous elastic pipelines conveying internal flow are examined by Lee et al.[1] using the spectral element method. Small perturbations with respect to the steady state values of inner fluid velocity and pressure is considered to make the governing equations to be linear. In the spectral element model the governing differential equation of motion is transformed into the frequency-domain by using the discrete Fourier transformation theory. The internal flow velocity at which the divergence instability occurs is derived in an analytical form. A spectral element model is developed by Lee and Park [] for the uniform straight pipelines with an internal unsteady fluid. Four coupled pipedynamics equations are derived in terms of the transverse displacement, the axial displacement, the fluid pressure and velocity and then liberalized them. We consider steady-state flow-induced vibration problem in pipe conveying an internal flow with constant velocity. The self-excited flexural vibration of a pipe due to an internal flow with constant velocity was investigated by Biswas and Ahmed [3]. Afterward, Gorman et al. [4] included the effects of radial shell vibration and initial axial tension on Lee s pipe-dynamics model. Most of the earlier studies are related to investigations about inner transient flow with time-varying velocity, which are reviewed at first here. Coupled pipedynamics equations for the axial, radial, and lateral vibrations of the pipeline as well as for the transients of unsteady internal fluid pressure and velocity were the subject of studies by Lee and Kim [5] and Lee et al.[6].the first attempt in flow-induced vibration study was done by Ashley and Havilland [7].The practical vibration problems of heat exchanger tubes in power plants and nuclear reactors were the subject of many studies as other aspects of this field. The finite elements models and also other numerical methods are frequently used for these studies. For want of space, we review the studies which are only based on the analytical methods. III. MATHEMATICAL MODELING.1 Equations of Motion for Flow Consider a pipe of length L, modulus of elasticity E, and its transverse area moment I. A fluid flows through the pipe at pressure p and density at a constant velocity v through the internal pipe crosssection of area A. As the fluid flows through the detecting pipe it is accelerated, because of the changing curvature of the pipe and the lateral vibration of the pipeline. The vertical component All rights Reserved 1059
3 Volume 3, Issue 4, [April 016] Special Issue of ICRTET 016 fluid pressure applied to the fluid element and the pressure force F per unit length applied on the fluid element by the tube walls oppose these accelerations. Referring to figures (.1) and (.), balancing the forces in the Y direction on the fluid element for small deformations, gives / y x t x F A( ) A( ) (.1) Figure.1: Pinned-Pinned Pipe Carrying Fluid Figure.: Pipe Carrying Fluid, Forces and Moments acting on Elements (a) Fluid (b) Pipe. Finite Element Model Consider a pipeline span that has a transverse deflection Y(x, t) from its equilibrium position. The length of the pipe is L, modulus of elasticity of the pipe is E, and the area moment of inertia is I. The density of the fluid flowing through the pipe is ρ at pressure p and constant velocity through the internal pipe cross section having area A. Flow of the fluid through the deflecting pipe is accelerated due to the changing curvature of the pipe and the lateral vibration of the pipeline. From the previous section we have the equation of motion for free vibration of a fluid converting pipe: 4 EI y A y A y M y 0 4 t x x t t (.) The Element stiffness matrix for a beam element is given All rights Reserved 1060
4 Volume 3, Issue 4, [April 016] Special Issue of ICRTET 016 [ K 1 6l 1 6l EI 6l 4l 6l l ] 3 l 1 6l 1 6l 6l l 6l 4l e (.3).3 Matrix Formation In order to form a Global Matrix, we start with a 6x6 null matrix, with its six degrees of freedom being translation and rotation of each of the nodes. So our Global Stiffness matrix looks like this: KGlobal (.4) We shall now build the global stiffness matrix by inserting element 1 and element of element stiffness matrix into the global stiffness matrix. We get, 1 6l 1 6l 0 0 6l 4l 6l l 0 0 EI 1 6 l (1 1) ( 6l 6 l) 1 6l KGlobal 3 (.5) l 6l l ( 6l 6 l) (4l 4 l) 6l l l 1 6l l 6l 0 When the boundary conditions are applied to a simply supported pipe carrying fluid, the 6x6 Global Stiffness Matrix formulated in eq (.5) is modified to a 4x4 Global Stiffness Matrix. It is as follows; Y 1 X L Figure 3.1: Representation of Simply Supported Pipe Carrying All rights Reserved 1061
5 Volume 3, Issue 4, [April 016] Special Issue of ICRTET 016 K Global 4l 6l l 0 EI 6 l (1 1) ( 6l 6 l) 6l 3 l l ( 6l 6 l) (4l 4 l ) l 0 6l l 4l (.6) Since the pipe is supported at the two ends the pipe does not deflect causing its two translational degrees of freedom to go to zero. Hence we end up with the Stiffness Matrix shown above. IV. SUMMARY This paper deals with the numerical analysis of flow induced vibration in pipes considering the effects of vibrations due to flow in a pipeline. Finite Element model for a pipe is studied and developed it for vibration analysis of a Pipe Carrying Fluid. And, then implemented the above developed model to Simply Supported Pipe configuration which Carries Fluid. REFERENCES [1] Evans Robert P., Flow rate measurements using flow induced pipe vibration,asme,j. Fluids Eng.16() pp.80-85,004. [] Faal R. T., Derakhshan D., Flow-Induced Vibration of Pipeline on Elastic Support, The Twelfth East Asia- PacifiC Conference on Structural Engineering and Construction, Procedia Engineering 14, pp , 011. [3] Gohela Hardik R, Shahb Balkrushna A, Lakdawala Absar M,Numerical Investigation of Flow Induced Vibration for the Triangular Array of Circular Cylinder,Chemical, Civil and Mechanical Engineering Tracks of 3rd Nirma University International Conference (NUiCONE-01) Procedia Engineering 51,pp , 013. [4] Iyan Grant, Flow Induced Vibration in Pipes, A Finite Element Approach, 006 [5] Liu Long, Flow-Induced Vibration Analysis of Supported Pipes Conveying Pulsating Fluid Using Precise Integration Method, Mathematical Problems in Engineering,,pp , 010. [6] Marakala Narasimha, Investigated Combined Effect of Fluid and Thermal Induced Vibration on Vertical Thin Slender Tube experimentally and theoretically,iosr, pp ,,008. [7] Vasilyev Peter, Fromzel Leonid,Analytical Study of Piping Flow-induced Vibration. Example of Implementation,Transactions of the 17th International Conference on Structural Mechanics in Reactor Technology (SMiRT 17) Prague,,pp.17, 003. [8] Ying Shang, Optical fiber fluid flow monitoring system based on flow induced vibration,ieee,009. F : Pressure Force in newton (N) : Density in kg/m 3 A : cross sectional area of pipe in inches L : Length of pipe in (m) Y : Direction of fluid element in m E : Modulus of Elasticity in N/m I : Moment of Inertia in kg.m V : velocity in m/s M : Mass in kg All rights Reserved 106
6
Flow-Induced Vibration of Pipeline on Elastic Support
Available online at www.sciencedirect.com Procedia Engineering () 986 99 The Twelfth East Asia-Pacific Conference on Structural Engineering and Construction Flow-Induced Vibration of Pipeline on Elastic
More informationExperimental Study and Analysis of Flow Induced Vibration in a pipeline
Experimental Study and Analysis of Flow Induced Vibration in a pipeline R.Veerapandi a G. Karthikeyan b Dr. G. R.Jinu c R. Kannaiah d a Final Year M.E(CAD),Regional Centre of Anna University,Tirunelveli-629004
More informationNatural frequency analysis of fluid-conveying pipes in the ADINA system
Journal of Physics: Conference Series OPEN ACCESS Natural frequency analysis of fluid-conveying pipes in the ADINA system To cite this article: L Wang et al 2013 J. Phys.: Conf. Ser. 448 012014 View the
More informationFLUID STRUCTURE INTERACTIONS PREAMBLE. There are two types of vibrations: resonance and instability.
FLUID STRUCTURE INTERACTIONS PREAMBLE There are two types of vibrations: resonance and instability. Resonance occurs when a structure is excited at a natural frequency. When damping is low, the structure
More informationCrack detection in cantilever beam by frequency based method
Available online at www.sciencedirect.com Procedia Engineering 51 ( 2013 ) 770 775 Chemical, Civil and Mechanical Engineering Tracks of 3 rd Nirma University International Conference on Engineering (NUiCONE
More informationD : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each.
GTE 2016 Q. 1 Q. 9 carry one mark each. D : SOLID MECHNICS Q.1 single degree of freedom vibrating system has mass of 5 kg, stiffness of 500 N/m and damping coefficient of 100 N-s/m. To make the system
More informationCritical Velocity Of Fluid-Conveying Pipes Resting On Winkler Foundation With General Boundary Conditions
Vol 2 Issue 8, August - 2015 Critical Velocity Of Fluid-Conveying Pipes Resting On Winkler Foundation With General Boundary Conditions 1 AsstProfDr Ali HAl-Hilli, 2* Thaier JNtayeesh 1 Mechanical Engineering
More informationChapter 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 informationStudy of the influence of the resonance changer on the longitudinal vibration of marine propulsion shafting system
Study of the influence of the resonance changer on the longitudinal vibration of marine propulsion shafting system Zhengmin Li 1, Lin He 2, Hanguo Cui 3, Jiangyang He 4, Wei Xu 5 1, 2, 4, 5 Institute of
More information1859. Forced transverse vibration analysis of a Rayleigh double-beam system with a Pasternak middle layer subjected to compressive axial load
1859. Forced transverse vibration analysis of a Rayleigh double-beam system with a Pasternak middle layer subjected to compressive axial load Nader Mohammadi 1, Mehrdad Nasirshoaibi 2 Department of Mechanical
More informationUniversity of California at Berkeley Structural Engineering Mechanics & Materials Department of Civil & Environmental Engineering Spring 2012 Student name : Doctoral Preliminary Examination in Dynamics
More information2119. Vibrations analysis of ruptured pipe conveying pulsating fluid flow and supported by a magnetorheological damper
2119. Vibrations analysis of ruptured pipe conveying pulsating fluid flow and supported by a magnetorheological damper E. M. Attia Faculty of Engineering Mechanical Engineering Department Alexandria University
More informationStability Analysis of Pipe Conveying Fluid Stiffened by Linear Stiffness
International Journal of Current Engineering and Technology E-ISSN, P-ISSN 01 INPRESSCO, All Rights Reserved Available at http://inpressco.com/category/ijcet Research Article Stability Analysis of Pipe
More informationDynamic Response Of Laminated Composite Shells Subjected To Impulsive Loads
IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 2278-1684,p-ISSN: 2320-334X, Volume 14, Issue 3 Ver. I (May. - June. 2017), PP 108-123 www.iosrjournals.org Dynamic Response Of Laminated
More informationGeneral elastic beam with an elastic foundation
General elastic beam with an elastic foundation Figure 1 shows a beam-column on an elastic foundation. The beam is connected to a continuous series of foundation springs. The other end of the foundation
More informationOMAE FLUID-STRUCTURE INTERACTION MODELING OF SUBSEA JUMPER PIPE
Proceedings of the ASME 2014 33 rd International Conference on Ocean, Offshore and Arctic Engineering OMAE2014 June 8-13, 2014, San Francisco, CA USA OMAE2014-24070 FLUID-STRUCTURE INTERACTION MODELING
More informationMechanics of Inflatable Fabric Beams
Copyright c 2008 ICCES ICCES, vol.5, no.2, pp.93-98 Mechanics of Inflatable Fabric Beams C. Wielgosz 1,J.C.Thomas 1,A.LeVan 1 Summary In this paper we present a summary of the behaviour of inflatable fabric
More informationStructural 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 informationQuintic beam closed form matrices (revised 2/21, 2/23/12) General elastic beam with an elastic foundation
General elastic beam with an elastic foundation Figure 1 shows a beam-column on an elastic foundation. The beam is connected to a continuous series of foundation springs. The other end of the foundation
More informationChapter a. Spring constant, k : The change in the force per unit length change of the spring. b. Coefficient of subgrade reaction, k:
Principles of Soil Dynamics 3rd Edition Das SOLUTIONS MANUAL Full clear download (no formatting errors) at: https://testbankreal.com/download/principles-soil-dynamics-3rd-editiondas-solutions-manual/ Chapter
More informationPRESSURE AND VELOCITY AMPLITUDES OF THE INCOMPRESSIBLE FLUID IN CONCENTRIC ANNULAR PASSAGE WITH OSCILLATORY BOUNDARY: TURBULENT FLOW
Journal of Engineering Science and Technology Vol. 9, No. 2 (2014) 220-232 School of Engineering, Taylor s University PRESSURE AND VELOCITY AMPLITUDES OF THE INCOMPRESSIBLE FLUID IN CONCENTRIC ANNULAR
More informationStructural Dynamics Lecture Eleven: Dynamic Response of MDOF Systems: (Chapter 11) By: H. Ahmadian
Structural Dynamics Lecture Eleven: Dynamic Response of MDOF Systems: (Chapter 11) By: H. Ahmadian ahmadian@iust.ac.ir Dynamic Response of MDOF Systems: Mode-Superposition Method Mode-Superposition Method:
More informationFree Vibration Characteristics of Elastically Supported Pipe Conveying Fluid
Nahrain University College of Engineering Journal (NUCEJ) Vol16 No1 2013 pp9-19 Free Vibration Characteristics of Elastically Supported Pipe Conveying Fluid Ali HAl-Hilli Mechanical Eng Dept Nahrain University
More informationThe effect of top tension on VIV model analysis of a vertical flexible riser
The Second Conference of Global Chinese Scholars on Hydrodynamics The effect of top tension on VIV model analysis of a vertical flexible riser Muyu Duan 1,2, Bowen Fu 1, Decheng Wan 1* 1 State Key Laboratory
More informationQ. 1 Q. 5 carry one mark each.
General ptitude G Set-8 Q. 1 Q. 5 carry one mark each. Q.1 The chairman requested the aggrieved shareholders to him. () bare with () bore with (C) bear with (D) bare Q.2 Identify the correct spelling out
More informationTHE EFFECT OF TWO PHASE (AIR-WATER) FLOW CHARACTERISTICS ON MOMENTUM FLUX DUE TO FLOW TURNING ELEMENTS AT ATMOSPHERIC CONDITIONS
International Journal of Latest Trends in Engineering and Technology Vol.(8)Issue(1), pp.319-328 DOI: http://dx.doi.org/10.21172/1.81.041 e-issn:2278-621x AN EXPERIMENTAL STUDY OF THE EFFECT OF TWO PHASE
More informationMitigations to Flow Induced Vibration (FIV) in Control Valve Piping System using Visco-Elastic Dampers & Neoprene Pads
IJSTE - International Journal of Science Technology & Engineering Volume 3 Issue 07 January 2017 ISSN (online): 2349-784X Mitigations to Flow Induced Vibration (FIV) in Control Valve Piping System using
More informationEVALUATING DYNAMIC STRESSES OF A PIPELINE
EVALUATING DYNAMIC STRESSES OF A PIPELINE by K.T. TRUONG Member ASME Mechanical & Piping Division THE ULTRAGEN GROUP LTD 2255 Rue De La Province Longueuil (Quebec) J4G 1G3 This document is provided to
More informationMechanical Design in Optical Engineering
OPTI Buckling Buckling and Stability: As we learned in the previous lectures, structures may fail in a variety of ways, depending on the materials, load and support conditions. We had two primary concerns:
More informationAnalysis on propulsion shafting coupled torsional-longitudinal vibration under different applied loads
Analysis on propulsion shafting coupled torsional-longitudinal vibration under different applied loads Qianwen HUANG 1 ; Jia LIU 1 ; Cong ZHANG 1,2 ; inping YAN 1,2 1 Reliability Engineering Institute,
More informationDynamic Behaviour of a Cantilever Beam Subjected To Moving Mass and Elastic End Constraint
Dynamic Behaviour of a Cantilever Beam Subjected To Moving Mass and Elastic End Constraint Ratnadeep Pramanik 1 Student (4 th Year), Department of Mechanical Engineering, Jadavpur University, Kolkata,
More informationStress Analysis Lecture 3 ME 276 Spring Dr./ Ahmed Mohamed Nagib Elmekawy
Stress Analysis Lecture 3 ME 276 Spring 2017-2018 Dr./ Ahmed Mohamed Nagib Elmekawy Axial Stress 2 Beam under the action of two tensile forces 3 Beam under the action of two tensile forces 4 Shear Stress
More informationA METHOD OF LOAD INCREMENTS FOR THE DETERMINATION OF SECOND-ORDER LIMIT LOAD AND COLLAPSE SAFETY OF REINFORCED CONCRETE FRAMED STRUCTURES
A METHOD OF LOAD INCREMENTS FOR THE DETERMINATION OF SECOND-ORDER LIMIT LOAD AND COLLAPSE SAFETY OF REINFORCED CONCRETE FRAMED STRUCTURES Konuralp Girgin (Ph.D. Thesis, Institute of Science and Technology,
More informationInternational Journal of Modern Trends in Engineering and Research e-issn No.: , Date: 2-4 July, 2015
International Journal of Modern Trends in Engineering and Research www.ijmter.com e-issn No.:2349-9745, Date: 2-4 July, 2015 Experimental and FEA Approach for Optimization of Spiral Flexure Bearing N.
More informationε t increases from the compressioncontrolled Figure 9.15: Adjusted interaction diagram
CHAPTER NINE COLUMNS 4 b. The modified axial strength in compression is reduced to account for accidental eccentricity. The magnitude of axial force evaluated in step (a) is multiplied by 0.80 in case
More informationCantilever Beam Crack Detection using FEA and FFT Analyser
Cantilever Beam Detection using FEA and FFT Analyser Pooja Ghumai 1, Dr. L G Navale 2 1ME Student, DesignEngg, DYPIT, Pimpri, Pune 2Professor, DesignEngg, DYPIT, Pimpri, Pune ---------------------------------------------------------------------***---------------------------------------------------------------------
More informationTHE EFFECT OF GEOMETRY ON FATIGUE LIFE FOR BELLOWS
Advanced Materials Development and Performance (AMDP2011) International Journal of Modern Physics: Conference Series Vol. 6 (2012) 343-348 World Scientific Publishing Company DOI: 10.1142/S2010194512003418
More informationPhysics 8 Monday, November 20, 2017
Physics 8 Monday, November 20, 2017 Pick up HW11 handout, due Dec 1 (Friday next week). This week, you re skimming/reading O/K ch8, which goes into more detail on beams. Since many people will be traveling
More informationLecture 15 Strain and stress in beams
Spring, 2019 ME 323 Mechanics of Materials Lecture 15 Strain and stress in beams Reading assignment: 6.1 6.2 News: Instructor: Prof. Marcial Gonzalez Last modified: 1/6/19 9:42:38 PM Beam theory (@ ME
More informationD : SOLID MECHANICS. Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown.
D : SOLID MECHANICS Q. 1 Q. 9 carry one mark each. Q.1 Find the force (in kn) in the member BH of the truss shown. Q.2 Consider the forces of magnitude F acting on the sides of the regular hexagon having
More informationInfluence of residual stresses in the structural behavior of. tubular columns and arches. Nuno Rocha Cima Gomes
October 2014 Influence of residual stresses in the structural behavior of Abstract tubular columns and arches Nuno Rocha Cima Gomes Instituto Superior Técnico, Universidade de Lisboa, Portugal Contact:
More informationResponse Analysis for Multi Support Earthquake Excitation
Chapter 5 Response Analysis for Multi Support Earthquake Excitation 5.1 Introduction It is very important to perform the dynamic analysis for the structure subjected to random/dynamic loadings. The dynamic
More informationStudy & Analysis of A Cantilever Beam with Non-linear Parameters for Harmonic Response
ISSN 2395-1621 Study & Analysis of A Cantilever Beam with Non-linear Parameters for Harmonic Response #1 Supriya D. Sankapal, #2 Arun V. Bhosale 1 sankpal.supriya88@gmail.com 2 arunbhosale@rediffmail.com
More informationINELASTIC RESPONSES OF LONG BRIDGES TO ASYNCHRONOUS SEISMIC INPUTS
13 th World Conference on Earthquake Engineering Vancouver, B.C., Canada August 1-6, 24 Paper No. 638 INELASTIC RESPONSES OF LONG BRIDGES TO ASYNCHRONOUS SEISMIC INPUTS Jiachen WANG 1, Athol CARR 1, Nigel
More informationStructural Dynamics Lecture 4. Outline of Lecture 4. Multi-Degree-of-Freedom Systems. Formulation of Equations of Motions. Undamped Eigenvibrations.
Outline of Multi-Degree-of-Freedom Systems Formulation of Equations of Motions. Newton s 2 nd Law Applied to Free Masses. D Alembert s Principle. Basic Equations of Motion for Forced Vibrations of Linear
More informationASSESSMENT OF THE APPLICABILITY OF THE WEIGHT VECTOR THEORY FOR CORIOLIS FLOWMETERS
XIX IMEKO World Congress Fundamental and Applied Metrology September 6 11, 29, Lisbon, Portugal ASSESSMENT OF THE APPLICABILITY OF THE WEIGHT VECTOR THEORY FOR CORIOLIS FLOWMETERS Stephanie Enz 1 1 Solid
More informationApplication of Finite Element Method to Create Animated Simulation of Beam Analysis for the Course of Mechanics of Materials
International Conference on Engineering Education and Research "Progress Through Partnership" 4 VSB-TUO, Ostrava, ISSN 156-35 Application of Finite Element Method to Create Animated Simulation of Beam
More informationWind tunnel sectional tests for the identification of flutter derivatives and vortex shedding in long span bridges
Fluid Structure Interaction VII 51 Wind tunnel sectional tests for the identification of flutter derivatives and vortex shedding in long span bridges J. Á. Jurado, R. Sánchez & S. Hernández School of Civil
More informationGEOSYNTHETICS ENGINEERING: IN THEORY AND PRACTICE
GEOSYNTHETICS ENGINEERING: IN THEORY AND PRACTICE Prof. J. N. Mandal Department of Civil Engineering, IIT Bombay, Powai, Mumbai 400076, India. Tel.022-25767328 email: cejnm@civil.iitb.ac.in Module-13 LECTURE-
More informationDynamic 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 informationWind Tunnel Experiments of Stall Flutter with Structural Nonlinearity
Wind Tunnel Experiments of Stall Flutter with Structural Nonlinearity Ahmad Faris R.Razaami School of Aerospace Engineering, Universiti Sains Malaysia, Penang, MALAYSIA Norizham Abdul Razak School of Aerospace
More informationIntroduction 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 informationMECHANICAL VIBRATIONS OF CANDU FEEDER PIPES
Transactions, SMiRT-22 San Francisco, California, USA - August 8-23, 23 MECHANICAL VIBRATIS OF CANDU FEEDER PIPES Usama Abdelsalam, Dk Vijay 2, Hesham Mohammed 3, Rick Pavlov 4, Dan Neill 5 Tech. Expert,
More informationFREQUENCY DOMAIN FLUTTER ANALYSIS OF AIRCRAFT WING IN SUBSONIC FLOW
FREQUENCY DOMAIN FLUTTER ANALYSIS OF AIRCRAFT WING IN SUBSONIC FLOW Ms.K.Niranjana 1, Mr.A.Daniel Antony 2 1 UG Student, Department of Aerospace Engineering, Karunya University, (India) 2 Assistant professor,
More informationMECHANICS 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 informationVibration analysis of circular arch element using curvature
Shock and Vibration 15 (28) 481 492 481 IOS Press Vibration analysis of circular arch element using curvature H. Saffari a,. Tabatabaei a, and S.H. Mansouri b a Civil Engineering Department, University
More informationSTRUCTURAL HEALTH MONITORING OF A FRAME USING TRANSIENT VIBRATION ANALYSIS
STRUCTURAL HEALTH MONITORING OF A FRAME USING TRANSIENT VIBRATION ANALYSIS Aneesha S Das 1, Dr.Sajal Roy 2 and Ritzy.R 3 1 PG Scholar, Structural Engg, Sree Buddha College Of Engg, India 2 Scientist D,
More informationPreliminary 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 informationChapter 12 Elastic Stability of Columns
Chapter 12 Elastic Stability of Columns Axial compressive loads can cause a sudden lateral deflection (Buckling) For columns made of elastic-perfectly plastic materials, P cr Depends primarily on E and
More information2028. Life estimation of the beam with normal distribution parameters and subjected to cyclic load
2028. Life estimation of the beam with normal distribution parameters and subjected to cyclic load Changyou Li 1, Xuchu Wang 2, Wei Wang 3, Yimin Zhang 4, Song Guo 5 1, 2, 3, 4 School of Mechanical Engineering
More informationLecture 7: The Beam Element Equations.
4.1 Beam Stiffness. A Beam: A long slender structural component generally subjected to transverse loading that produces significant bending effects as opposed to twisting or axial effects. MECH 40: Finite
More informationFinite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras. Module - 01 Lecture - 13
Finite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras (Refer Slide Time: 00:25) Module - 01 Lecture - 13 In the last class, we have seen how
More informationDHANALAKSHMI COLLEGE OF ENGINEERING, CHENNAI DEPARTMENT OF MECHANICAL ENGINEERING ME 6603 FINITE ELEMENT ANALYSIS PART A (2 MARKS)
DHANALAKSHMI COLLEGE OF ENGINEERING, CHENNAI DEPARTMENT OF MECHANICAL ENGINEERING ME 6603 FINITE ELEMENT ANALYSIS UNIT I : FINITE ELEMENT FORMULATION OF BOUNDARY VALUE PART A (2 MARKS) 1. Write the types
More information93. Study on the vibration characteristics of structural of hydrocyclone based on fluid structure interaction
93. Study on the vibration characteristics of structural of hydrocyclone based on fluid structure interaction Sen Li 1, Chunhong Dong 2, Zunce Wang 3, Yan Xu 4, Yuejuan Yan 5, Daoli Zhai 6 College of Mechanical
More informationExternal Pressure... Thermal Expansion in un-restrained pipeline... The critical (buckling) pressure is calculated as follows:
External Pressure... The critical (buckling) pressure is calculated as follows: P C = E. t s ³ / 4 (1 - ν ha.ν ah ) R E ³ P C = Critical buckling pressure, kn/m² E = Hoop modulus in flexure, kn/m² t s
More informationDiscontinuous Distributions in Mechanics of Materials
Discontinuous Distributions in Mechanics of Materials J.E. Akin, Rice University 1. Introduction The study of the mechanics of materials continues to change slowly. The student needs to learn about software
More informationDamage detection in plate-like structures using High-Order mode shape derivatives
INTERNATIONAL JOURNAL OF CIVIL AND STRUCTURAL ENGINEERING Volume 2, No 3, 2012 Copyright 2010 All rights reserved Integrated Publishing services Research article ISSN 0976 4399 Damage detection in plate-like
More informationHEALTH MONITORING OF PLATE STRUCTURE USING PIEZO ELECTRIC PATCHES AND CURVATURE MODE SHAPE
ISSN (Online) : 2319-8753 ISSN (Print) : 2347-6710 International Journal of Innovative Research in Science, Engineering and Technology An ISO 3297: 2007 Certified Organization, Volume 2, Special Issue
More informationThe Effect of Distribution for a Moving Force
Paper Number 66, Proceedings of ACOUSTICS 2011 2-4 November 2011, Gold Coast, Australia The Effect of Distribution for a Moving Force Ahmed M. Reda (1,2), Gareth L. Forbes (2) (1) Atkins, Perth, Australia
More informationStructural Damage Detection Using Time Windowing Technique from Measured Acceleration during Earthquake
Structural Damage Detection Using Time Windowing Technique from Measured Acceleration during Earthquake Seung Keun Park and Hae Sung Lee ABSTRACT This paper presents a system identification (SI) scheme
More informationMethods of Analysis. Force or Flexibility Method
INTRODUCTION: The structural analysis is a mathematical process by which the response of a structure to specified loads is determined. This response is measured by determining the internal forces or stresses
More informationAnalysis And Control Of Severe Vibration Of A Screw Compressor Outlet Piping System
Purdue University Purdue e-pubs International Compressor Engineering Conference School of Mechanical Engineering 2016 Analysis And Control Of Severe Vibration Of A Screw Compressor Outlet Piping System
More informationFinite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras. Module - 01 Lecture - 11
Finite Element Analysis Prof. Dr. B. N. Rao Department of Civil Engineering Indian Institute of Technology, Madras Module - 01 Lecture - 11 Last class, what we did is, we looked at a method called superposition
More informationIntroduction to Structural Member Properties
Introduction to Structural Member Properties Structural Member Properties Moment of Inertia (I): a mathematical property of a cross-section (measured in inches 4 or in 4 ) that gives important information
More informationSmallbore. Definition of a Cutoff Natural Frequency for. Jim McGhee, Xodus Group
Definition of a Cutoff Natural Frequency for Smallbore Pipework Connections Jim McGhee, Xodus Group A primary cause of vibration induced fatigue failures of smallbore connections in process piping systems
More information202 Index. failure, 26 field equation, 122 force, 1
Index acceleration, 12, 161 admissible function, 155 admissible stress, 32 Airy's stress function, 122, 124 d'alembert's principle, 165, 167, 177 amplitude, 171 analogy, 76 anisotropic material, 20 aperiodic
More informationDesign and Dynamic Analysis of Flywheel
IOSR Journal of Mechanical and Civil Engineering (IOSR-JMCE) e-issn: 2278-1684, p-issn : 2320 334X PP 51-56 www.iosrjournals.org Design and Dynamic Analysis of Flywheel T. Raja Santhosh Kumar 1, Suresh
More informationReview on Vortex-Induced Vibration for Wave Propagation Class
Review on Vortex-Induced Vibration for Wave Propagation Class By Zhibiao Rao What s Vortex-Induced Vibration? In fluid dynamics, vortex-induced vibrations (VIV) are motions induced on bodies interacting
More informationDeflection profile analysis of beams on two-parameter elastic subgrade
1(213) 263 282 Deflection profile analysis of beams on two-parameter elastic subgrade Abstract A procedure involving spectral Galerkin and integral transformation methods has been developed and applied
More informationSTRESS STRAIN AND DEFORMATION OF SOLIDS, STATES OF STRESS
1 UNIT I STRESS STRAIN AND DEFORMATION OF SOLIDS, STATES OF STRESS 1. Define: Stress When an external force acts on a body, it undergoes deformation. At the same time the body resists deformation. The
More informationResearch Article Modal and Vibration Analysis of Filter System in Petrochemical Plant
Hindawi Shock and Vibration Volume 2017, Article ID 3685675, 13 pages https://doi.org/10.1155/2017/3685675 Research Article Modal and Vibration Analysis of Filter System in Petrochemical Plant hongchi
More informationLaboratory 4 Topic: Buckling
Laboratory 4 Topic: Buckling Objectives: To record the load-deflection response of a clamped-clamped column. To identify, from the recorded response, the collapse load of the column. Introduction: Buckling
More informationIraq Ref. & Air. Cond. Dept/ Technical College / Kirkuk
International Journal of Scientific & Engineering Research, Volume 6, Issue 4, April-015 1678 Study the Increasing of the Cantilever Plate Stiffness by Using s Jawdat Ali Yakoob Iesam Jondi Hasan Ass.
More informationFREE VIBRATION ANALYSIS OF THIN CYLINDRICAL SHELLS SUBJECTED TO INTERNAL PRESSURE AND FINITE ELEMENT ANALYSIS
FREE VIBRATION ANALYSIS OF THIN CYLINDRICAL SHELLS SUBJECTED TO INTERNAL PRESSURE AND FINITE ELEMENT ANALYSIS J. Kandasamy 1, M. Madhavi 2, N. Haritha 3 1 Corresponding author Department of Mechanical
More informationStudy on Lateral Nonlinear Dynamic Response of Deepwater Drilling Riser with Consideration of The Vessel Motions in Its Installation
Copyright 2015 Tech Science Press CMC, vol.48, no.1, pp.57-75, 2015 Study on Lateral Nonlinear Dynamic Response of Deepwater Drilling Riser with Consideration of The Vessel Motions in Its Installation
More informationFree vibration analysis of elastically connected multiple-beams with general boundary conditions using improved Fourier series method
Free vibration analysis of elastically connected multiple-beams with general boundary conditions using improved Fourier series method Jingtao DU*; Deshui XU; Yufei ZHANG; Tiejun YANG; Zhigang LIU College
More informationNatural Frequencies Behavior of Pipeline System during LOCA in Nuclear Power Plants
, June 30 - July 2, 2010, London, U.K. Natural Frequencies Behavior of Pipeline System during LOCA in Nuclear Power Plants R. Mahmoodi, M. Shahriari, R. Zarghami, Abstract In nuclear power plants, loss
More informationM.S Comprehensive Examination Analysis
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2014 Dept. of Civil and Environmental Engineering Structural Engineering, Mechanics and Materials Name:......................................... M.S Comprehensive
More informationMOOC 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 informationPh.D. Preliminary Examination Analysis
UNIVERSITY OF CALIFORNIA, BERKELEY Spring Semester 2017 Dept. of Civil and Environmental Engineering Structural Engineering, Mechanics and Materials Name:......................................... Ph.D.
More informationSENSITIVITY ANALYSIS OF ADAPTIVE MAGNITUDE SPECTRUM ALGORITHM IDENTIFIED MODAL FREQUENCIES OF REINFORCED CONCRETE FRAME STRUCTURES
SENSITIVITY ANALYSIS OF ADAPTIVE MAGNITUDE SPECTRUM ALGORITHM IDENTIFIED MODAL FREQUENCIES OF REINFORCED CONCRETE FRAME STRUCTURES K. C. G. Ong*, National University of Singapore, Singapore M. Maalej,
More informationFlow-Induced Vibration Analysis of Supported Pipes with a Crack
Flow-Induced Vibration Analysis of Supported Pipes with a Crack Jin-Hyuk Lee 1 *, Samer Masoud Al-Said,3 1 Department of Mechanical Engineering, American University of Sharjah, Sharjah, UAE, Department
More informationAEROELASTIC ANALYSIS OF SPHERICAL SHELLS
11th World Congress on Computational Mechanics (WCCM XI) 5th European Conference on Computational Mechanics (ECCM V) 6th European Conference on Computational Fluid Dynamics (ECFD VI) E. Oñate, J. Oliver
More informationDynamic and buckling analysis of FRP portal frames using a locking-free finite element
Fourth International Conference on FRP Composites in Civil Engineering (CICE8) 22-24July 8, Zurich, Switzerland Dynamic and buckling analysis of FRP portal frames using a locking-free finite element F.
More information4. SHAFTS. A shaft is an element used to transmit power and torque, and it can support
4. SHAFTS A shaft is an element used to transmit power and torque, and it can support reverse bending (fatigue). Most shafts have circular cross sections, either solid or tubular. The difference between
More informationNUMERICAL PREDICTIONS ON THE DYNAMIC RESPONSE OF A SUSPENSION BRIDGE WITH A TRAPEZOIDAL CROSS-SECTION
Journal of the Chinese Institute of Engineers, Vol. 28, No. 2, pp. 281-291 (25) 281 NUMERICAL PREDICTIONS ON THE DYNAMIC RESPONSE OF A SUSPENSION BRIDGE WITH A TRAPEZOIDAL CROSS-SECTION Fuh-Min Fang, Yi-Chao
More informationLongitudinal buckling of slender pressurised tubes
Fluid Structure Interaction VII 133 Longitudinal buckling of slender pressurised tubes S. Syngellakis Wesse Institute of Technology, UK Abstract This paper is concerned with Euler buckling of long slender
More informationMeasurement 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 informationMulti-objective optimization design of ship propulsion shafting based on the multi-attribute decision making
Multi-objective optimization design of ship propulsion shafting based on the multi-attribute decision making Haifeng Li 1, Jingjun Lou 2, Xuewei Liu 3 College of Power Engineering, Naval University of
More informationon 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