Shear deformation in thermal vibration analysis of laminated plates by the GDQ method

The interlaminar stresses and deflections in a laminated rectangular plate under thermal vibration were determined by using the generalized differential quadrature (GDQ) method involving the effect of shear deformation. The approximate stress and deflection solutions are obtained under the vibration of sinusoidal temperature of thermal load for layer in cross-ply laminate. Numerical results show that the maximum deflection and stresses at center position of laminate increasing with the side-to-thickness ratio a/h∗ value decreasing, especially in the region a/h∗⩽20. The GDQ method provides an efficient method for calculating the interlaminar stresses and deflections in a multi-layered plate of cross-ply laminate subjected to thermal vibration of sinusoidal temperature including shear deformation with a few grid points.