Vibration of shear-deformable plates with intermediate line supports: a finite layer approach

Abstract

Free vibration of isotropic and laminated composite plates is studied by the finite layer method. In this method, a plate is treated as a three-dimensional elastic body and the displacement field is approximated by a set of admissible trial functions in the plane of the plate. One-dimensional linear shape functions are adopted to simulate the variation of displacements through the thickness. To satisfy the boundary and internal conditions, a set of modified beam vibration functions is employed as the trial functions. Stiffness and mass matrices are formulated via the conventional displacement method and the eigenequation is then solved. Numerical examples are given to demonstrate the application of the method. © 1995 Academic Press. All rights reserved.