1994 Volume 60 Issue 578 Pages 3314-3321
A finite-element model of pipeline dynamics using an optimized interlacing grid system is proposed. By the finite-element method, basic equations of pipeline dynamics are approximated to be a set of ordinary differential equations which can be represented in state-space form. Steady laminar friction, unsteady laminar friction, and steady turbulent friction can be considered in the model. The interlacing grid system is optimized to make undamped natural frequencies of the model as close as possible to theoretical ones. The effects of important factors of the model are clarified. The accuracy of the model is demonstrated through simulation.