Free Vibration Analysis of Beam Structure Utilized Boundary Element Method and Finite Element Method

Abstract

All real structures, when subjected to loads or displacements, behave dynamically. One of the most important problems accounted in structural engineering is the vibration analysis of beams subjected to static loads. The boundary element formulation for the free vibration analysis of beam structures characterized behavior utilizes in this work to find the natural frequencies and the influence function of the concrete bridge with slant-legged rigid frame which modeled using three types of beam ( T-section, I-section , and box-section) for simply supported end conditions using boundary element method. The results obtained by boundary element method are compared by Exact solution and Finite element method for the simply supported beam and the results have that the converging with another techniques.