The Dynamic Stationary Behavior Of Thin Elastic Plates By The Boundary Element Method.

Abstract

In the present article the stationary dynamic behavior of homogeneous,
isotropic and linear elastic Kirchhoff plates is modeled by the Boundary Element Method
(BEM). The dynamic stationary fundamental solution of the bi-harmonic equation is used
to transform the governing partial differential equations into Boundary Integral Equations
(BIE). The BIE is discretized by continuous and/or discontinuous linear elements. After the
boundary quantities are determined, domain variables may be easily obtained by an
integration procedure. Two displacement integral equations are written for every boundary
node. The collocation points of the integral equations are place outside the plate domain,
leading to a non-singular BE formulation. In this article the Frequency Response Functions
of the thin plates are determined. Modal data, i.e., natural frequencies and the
corresponding mode shapes, are obtained from information contained in the FRF. The
procedure is validated by comparison with analytical and numerical results available in
the literature.