THE FINITE ELEMENT METHOD (FEM) FOR TIMOSHENKO BEAM UNDER MOVING LOAD

Abstract

The article presents the finite element method (FEM) which builds the element formula FEM for Timmoshenko beam under moving harmonic load with three nodal displacement. The calculated results show dynamic behavior of beam under action of a moving harmonic load, which are compared with Bernoulli beams. The finite element method for Timmoshenko beam have been investigated by many authors, however the difference is the construction of FEM formula directly from the principle of minimum energy with choice shape functions based on characteristics of beam. Numerical algorithm using to calculate based on Newmark’s method.