ESDU TM 71:1990
$22.75
A Rayleigh-Ritz Method of Analysis for Vibration of Orthotropic Plates Under Static In-Plane Loading (Including Shear)
| Published By | Publication Date | Number of Pages |
| ESDU | 1990-08 | 23 |
INTRODUCTION
This note describes the method of analysis and computation
procedure used in Item No. 90016 (Reference 1) for the estimation
of natural frequencies of flat rectangular plates. The method of
analysis is applicable to the computation of the lower natural
frequencies, and mode shapes, of isotropic or specially orthotropic
plates. Plates are specially orthotropic when their principal axes
of orthotropy are parallel to the plate edges. The method of
analysis is based on that described in Reference 2 and uses the
Rayleigh-Ritz method in which the displacements are assumed to be
represented by a series of orthogonal polynomial functions. The
polynomial functions are chosen to satisfy the plate boundary
conditions. In the analysis, provision is made for constant
in-plane forces, acting on the middle surface of the plate, in both
the x- and y- directions together with a constant in-plane shear
force.
