Flow‐Induced Vibration Analysis of Supported Pipes Conveying Pulsating Fluid Using Precise Integration Method
Author(s) -
Long Liu,
FuZhen Xuan
Publication year - 2010
Publication title -
mathematical problems in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.262
H-Index - 62
eISSN - 1026-7077
pISSN - 1024-123X
DOI - 10.1155/2010/806475
Subject(s) - displacement (psychology) , symplectic geometry , vibration , interpolation (computer graphics) , direct integration of a beam , momentum (technical analysis) , flow (mathematics) , hamiltonian (control theory) , fluid dynamics , mechanics , mathematics , mathematical analysis , physics , structural engineering , classical mechanics , engineering , mathematical optimization , acoustics , motion (physics) , psychology , finance , economics , psychotherapist
Dynamic analysis of supported pipes conveying pulsating fluid is investigated in Hamiltonian system using precise integration method (PIM). First, symplectic canonical equations of supported pipes are deduced with state variable vectors composed of displacement and momentum. Then, PIM with linear interpolation formula is proposed to solve these equations. Finally, this approach's precision is testified by several numerical examples of pinned-pinned pipes with different fluid velocities and frequencies. The results show that PIM is an efficient and rapid approach for flow-induced dynamic analysis o f supported pipes
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