Nonlinear vibration and thermal-buckling of a heated annular plate with a rigid mass

On the basis of Hamilton’s principle and dynamic version of von Kármán’s equations, the nonlinear vibration and thermal-buckling of a uniformly heated isotropi.c annular plate with a completely clamped outer edge and a fixed rigid mass along the inner edge are studied. By parametric perturbation and numerical differentiation, the nonlinear response of the plate-mass system and the critical temperature in the mid-plane at which the plate is in buckled state are obtained. Some meaningful characteristic curves and data tables are given.