FINITE-ELEMENT ANALYSIS OF FLUID-CONVEYING TIMOSHENKO PIPES

A general finite element formulation using cubic Hermitian interpolati on for dynamic analysis of pipes conveying fluid is presented. Both th e effects of shearing deformations and rotary inertia are considered. The development retains the use of the classical four degrees-of-freed om for a two-node element. The effect of moving fluid is treated as ex ternal distributed forces on the support pipe and the fluid finite ele ment 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. (C) 1995 John Wiley & Sons, Inc.