The thermal vibration study of magnetostrictive functionally graded material (FGM) plate under rapid heating is computed by using the generalized differential quadrature (GDQ) method. The dynamic equilibrium differential equations with displacements and shear rotations of magnetostrictive FGM plate under the rapid heating are normalized and discretized into the dynamic discretized equations. The computational solutions of magnetostrictive FGM plate with four simply supported edges are obtained. Some parametric effects on the magnetostrictive FGM plates are analyzed, they are: thickness of mounted magnetostrictive layer, control gains of the proportional negative derivative, rapid heating flux values, and power law index values of FGM plate.

Abstract:A model is presented for functionally-graded material (FGM), thick, circular cylindrical shells under an unsteady supersonic flow, following first-order shear deformation theory (FSDT) with varied shear correction coefficients. Some interesting vibration results of the dynamics are calculated by using the generalized differential quadrature (GDQ) method. The varied shear correction coefficients are usually functions of FGM total thickness, power law index, and environment temperature. Two parametric effects of the environmental temperature and FGM power law index on the thermal stress and center deflection are also presented. The novelty of the paper is that the maximum flutter value of the center deflection amplitude can be predicted and occurs at a high frequency of applied heat flux for a supersonic air flow.