Buckling and vibrations of FGM circular plates in thermal environment

Abstract

An analysis is presented for the study of thermal environment on free axisymmetric vibrations of functionally graded circular plates subjected to uniform in-plane peripheral loading and non-linear temperature distribution along the thickness direction. It is assumed that the plate material is graded in thickness direction and mechanical properties are temperature-dependent. Hamilton’s principle has been used in obtaining the governing equations for thermo-elastic equilibrium and vibration for such a plate model on the basis of classical plate theory. Generalized differential quadrature rule has been used in evaluating the numerical values for thermal displacements and frequencies in case of clamped and simply supported plates at the periphery for the first three modes of vibration. Compressive in-plane loads for which the plate ceases to vibrate have been reported as critical buckling loads. Effects of various parameters have been analyzed on the vibration characteristics for all the modes. For uniform and linear temperature distribution, the benchmark results have been computed. As a special case, a study with the plate material having temperature-independent properties has been performed. Results have been compared with the published work.