The Effect of Variable Load on Dynamic Behavior of Thin Pipe by Hamilton Principle and Cfx-Ansys
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Abstract
This paper presents the study and analysis, analytically and numerical of circular cylindrical shell pipe model, under variable loads, transmit fluid at the high velocity state (fresh water). The analytical analysis depended on the energy observation principle (Hamilton Principle), where divided all energy in the model to three parts , strain energy, kinetic energy and transmitted energy between flow and solid (kinetic to potential energy). Also derive all important equations for this state and approach to final equation of motion, free and force vibration also derived. the relations between the displacement of model function of velocity of flow, length of model, pipe thickness, density of flowed with location coordinate x-axis and angle are derived. In numerical analysis the models are created by using ANSYS Workpench-12 program, where build two models one for fluid, and another for pipe (solid). Depended on CFX-ANSYS package, can transfer all parameters in the fluid (temp., presser, energy) to solid model. The result show a good agreement and low of
percentage error between the analytically and numerical result. Also shows the effects of length and flow velocity on the behaviour of pipe
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A. S. Tijsseling, “Water Hammer with FluidStructure Interaction in Thick-walled pipes” Eindhoven University of technology, 2006.
Bruce R. Munson, et al,” Fundamentals of fluid mechanics”, John Wiley & Sons, Inc., 2002.
C. Durant and G. Robert,” Vibroacoustic Response of a Thin Cylindrical Shell Excited by a Turbulent Internal Flow: Comparison between Numerical Prediction and Experimentation”, Journal of Sound and vibration, 2000.
CFX-ANSYS Workbench-V12.0 Eduard Ventsel and Theodor Krauthammer,” Thin Plates and shells, theory, analysis, and applications” Marcel Dekker, Inc.2001.
Eugene A. Avallone and specialists staff,” Marks’ Standard Handbook for Mechanical Engineers”, McGraw-Hill, 1996.
F. Birgersson et al, “Modeling Turbulence-Induced Vibration of Pipes with a Spectral Finite Element Method”, Science direct, 2004.
Francesco Pellicano,” Dynamics of Circular Cylindrical Shells”, international symposium on the vibrations of continuous system, Italy, 2007.
Jamal M. Saleh,” Fluid Flow Handbook”, McGrawHill, 2002.
Matthem T. Pittard and Jonathan D. Blotter, “Numerical Modeling of Les Based Turbulent Flow Induced vibration”, ASME, 2003.
Michael Stangl and Hans Irschik,” Vibration of Pipes With internal Flow And rigid Degrees of Freedom”, wiley interscience, 2005
M. Sekavenik, et al, “CFD Analysis of the Dynamic Behaviour of Pipe system”, Forsch Ingenieurwes, 2006.
M. Talebitooti • M. Ghayour • S. Ziaei-Rad • R. Talebitooti,” Free vibrations of rotating composite conical shells with stringer and ring stiffeners”
Springer, 2009.
Murray R. Spiegel,” Mathematical handbook of formulas and table”, McGraw-Hill, 1968.
Pijush K. Kundu and Ira M. Cohen,” Fluid Mechanics 2ed edition”, Academic press, 2002.
Singiresu S. Rao,” Mechanical vibrations”, Prentice Hall, 2005.
Stephani Rinaldi et al, “Dynamics of Microscale Pipes Containing Internal Fluid Flow: Damping, Frequency shift, and Stability”, Journal of Sound and vibration, 2009.
Werner Soedel,” Vibration of Shells and Plates”, Marcel Dekker, Inc., 2004.
William T. Thomson, “theory of vibration with application”, prentice hall, fifth edition, 2001