Author(s)

M. Viktorovitch, L. Jezequel & F. Thouverez

Abstract

A direct boundary element method is presented for the dynamic analysis of thin elastic plates and membranes of arbitrary shape. The formulations employ the frequency domain dynamic fundamental solutions of the problems. The fundamental solutions are then approximated by analytic solutions built from the expressions of the asymptotic fields of the exact solutions. The perimeter is discretized by linear boundary elements. Some numerical examples on circular membranes and plates for both free and forced vibrations are presented to prove the accuracy of the formulation. 1 Introduction Analytical solutions to the problem of the vibrating plate, such as modal analysis are limited to very simple geometry and boundary conditions. Numerical solut

Keywords