An Analysis of the Steady-state Response of Beams Subjected to Harmonic Excitation by the Boundary Integral Equation Method

Abstract

A simplified approach using the boundary integral equation method is presented in this paper to analyze the steady-state response of beams subjected to harmonic excitation. The fundamental solution required in the boundary integral formulation is derived by solving a singular differential equation. Some simple problems of beams are considered and the results are compared with the actual ones. Moreover, to show the practicablity of the boundary integral equation approach, a more complicated system of the beams is analyzed and it is shown that the numerical results closely agree with the actual ones.