Nonlinear vibration of annular radially graded plate subjected to temperature at one edge

Abstract

An annular plate graded in radial direction made of ceramic and metal having intrinsic geometric imperfection subjected to mechanical and thermal loading is studied for nonlinear vibration response. The gradation of material in radial direction is represented by a simple power law. The Hamilton principle along with Von Karman nonlinear strain displacement relation & FSDT employed for developing governing nonlinear equation of motion. The finite element formulation of radially graded imperfect heated plate is solved by displacement control direct iteration method. The analysis reveals a significant reduction in the hardening stiffness of the plate because of the increase of plate-edge temperature. The results also shows that the plate undergoes initial bending deformation due to the plate-edge temperature that substantially influence the dynamic behaviour of the plate. The geometric imperfection shows substantial impact on the dynamic response of the plate when its inner-edge is heated as compared to that for heated outer-edge of the plate. The nonlinear free and forced vibration response for different volume fraction of involved materials is also explored.