Mathematical Problems in Engineering
Volume 2010 (2010), Article ID 806475, 15 pages
doi:10.1155/2010/806475
Research Article

Flow-Induced Vibration Analysis of Supported Pipes Conveying Pulsating Fluid Using Precise Integration Method

Long Liu1 and Fuzhen Xuan2

1Logistics Engineering College, Shanghai Maritime University, Shanghai 201306, China
2School of Mechanical and Power Engineering, East China University of Science and Technology, Shanghai 200237, China

Received 1 January 2010; Revised 6 May 2010; Accepted 19 August 2010

Academic Editor: Carlo Cattani

Copyright © 2010 Long Liu and Fuzhen Xuan. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

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.