Advanced dynamic thermal vibration of thick magnetostrictive FGM plates-cylindrical shells in unsteady yawed supersonic flow

The thermal vibration of magnetostrictive functionally graded material (FGM) thick plates-cylindrical shells in advanced dynamic unsteady yawed supersonic flow with nonlinear third-order piston theory is studied by using numerical method. The effects of yawed angle, controlled gain, and third-order shear deformation theory (TSDT) on the thermal stress and center displacement are analyzed. The nonlinear coefficient of TSDT and advanced shear correction provide the main effects on the time response values of displacements and stresses. Also the controlled gain provides the additional effects on the transient response values to control the displacements and stresses into smaller values. The novelties of the present article are the advanced shear coefficient included with TSDT displacement, velocity feedback control law, and nonlinear third-order piston theory used to obtain the thermal vibration modeling equation and the simulation results for FGM plates-shells in nonlinear unsteady yawed supersonic flow. The FGM structures are usually used for high temperature area to provide better resistance in the deflection and stress. The generalized differential quadrature (GDQ) methods used in the numerical calculation for getting the simulation results for FGM plates-shells in nonlinear unsteady yawed supersonic flow.