Abstract
Equations of motion for antisymmetric angle-ply plates in a general state of non-uniform initial stresses, where the effects of transverse shear and rotatory inertia are included, are derived by using Trefftz equations and the variational principle. These equations are then non-dimensionalized to a generic form by introducing global constants in orthotropic space and properly rearranging on-axis to off-axis stiffness relations for angle-ply laminates. Finally, the stability and vibration equations are solved for simply supported rectangular plates in a state of normal stress plus an edge twisting stress. The effects of twisting and the global material constants on the buckling and vibration of plates are studied.
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