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Shock and Vibration
Volume 2 (1995), Issue 3, Pages 247-255
http://dx.doi.org/10.3233/SAV-1995-2306

Finite Element Analysis of Fluid-Conveying Timoshenko Pipes

Chih-Liang Chu and Yih-Hwang Lin

Department of Mechanical and Marine Engineering, National Taiwan Ocean University, Keelung City, Taiwan 20224, China

Received 21 September 1994; Accepted 3 January 1995

Copyright © 1995 Hindawi Publishing Corporation. 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

A general finite element formulation using cubic Hermitian interpolation for dynamic analysis of pipes conveying fluid is presented. Both the effects of shearing deformations and rotary inertia are considered. The development retains the use of the classical four degrees-of-freedom for a two-node element. The effect of moving fluid is treated as external distributed forces on the support pipe and the fluid finite element matrices are derived from the virtual work done due to the fluid inertia forces. Finite element matrices for both the support pipe and moving fluid are derived and given explicitly. A numerical example is given to demonstrate the validity of the model.