GDQ computation for thermal vibration of thick FGM plates by using fully homogeneous equation and TSDT

Abstract

The third-order shear deformation theory (TSDT) effects on the thick functionally graded material (FGM) plates with fully homogeneous equation under thermal vibration are investigated by using the generalized differential quadrature (GDQ) method. The nonlinear coefficient c1 term of displacement field of TSDT is used to derive the equations of motion for thermal vibration of thick FGM plates. The dynamic equilibrium differential equations with TSDT of FGM plates in terms of partial derivatives of displacements and shear rotations subjected to partial derivatives of thermal loads, mechanical loads and inertia terms are derived in matrix forms. Three parametric effects of varied-modified shear correction factor, environment temperature and FGM power law index on the thermal stress and center deflection of FGM thick plates with and without containing the nonlinear coefficient c1 term are investigated.