Abstract:
The uncoupled governing equations in termsof radial displacement u and lateral displacement w for elasticcircular plate with temperature-dependent properties subjected to combinedheat and lateral force under large deflections are derived by use ofBerger approximation. Thegeneral series expressions of variables u and w are obtained by Galerkinapproximation. As an example, the deflections of a plate heated and compresseduniformly on its surfaces are calculated. The result of this present theoryand that of the finite element numerical simulation are compared, andthey are in good agreement. The bifurcation line of nonlinear deformationof the plate vs. temperature change and lateral force is obtained. Theeffect of temperature dependence of material's Young's modulus E ondeformation of the plate heated and compressed is discussed, and thegeometric nonlinear effect is found to be more significant than thetemperature-dependent effect with respect to material's properties.