Vibration of thermally stressed polar orthotropic annular plates

Abstract

This study sets out to analyse the effect of uniform temperature on the natural frequencies of transverse vibration of uniform polar orthotropic annular plates. The method employed is that of the annular finite element technique whereby the flexural and membrane components of the solution are separated. By close examination of the form of the resulting in‐plane stress distribution due to the thermal loading, it has been possible to obtain results for a wide selection of specimens by way of one equation and three graphs.

Finite Deflections of Loosely Clamped Symmetrically Laminated Rectangular Plates Subjected to Temperature Fields

“…Linear and nonlinear (finite deflections) anisotropic thermoelastic theories have been presented by a number of investigators [11][12][13]. The linear anisotropic thermoelastic theory has been applied to many practical plate problems to establish deflections and stresses [14][15][16] and vibration characteristics [17] under thermal loads . However, under circumstances (e.g., thermal buckling, postbuckling behavior, large transverse deflections, vibration characteristics subjected to large deflections of composite laminated plates) nonlinear anisotropic thermoelastic plate theories must be used.…”