NONLINEAR TRANSIENT RESPONSE OF A PERFORATED FGM PLATE UNDER THERMO-MECHANICAL CONDITIONS

Abstract

The present study is aimed to investigate the nonlinear transient response of an aluminum-zirconia functionally graded material (FGM) plate with a central circular hole under thermo-mechanical loadings. The nonlinear formulation is based on the first-order shear deformation plate theory along with geometric nonlinearity incorporated in the von Karman sense. The finite element numerical technique is employed to solve approximately the governing equations of motion derived through Hamilton's principle. A MATLAB program, developed to carry out the investigation, is verified for accuracy by comparing the results with those reported in the literature-under mechanical and thermo-mechanical loadings. Numerical results are presented to show the effect of various parameters, viz. material gradation exponent, geometric variables, hole size, and boundary conditions, on the nonlinear transient response of the FGM plate. It is found that the material gradation exponent has a noticeable effect on the transverse deflection of vibration of the FGM plate with a hole, but the frequency of vibration is not affected much. Further, with the increase in the size of hole in the FGM plate, the amplitude of its vibration decreases while the frequency of vibration increases.