Comparison between shear deformable and Kirchhoff theories for bending, buckling and vibration of antisymmetric angle-ply laminated plates

Abstract

A generalized Lévy-type solution in conjunction with the state space concept is developed for the bending, buckling and vibration of antisymmetric angle-ply laminated plates. The exact solutions are applicable to rectangular plates with two opposite edges simply supported and the remaining ones subjected to a combination of clamped, simply supported and free boundary conditions. The solutions are obtained for the classical Kirchhoff theory and the numerical results are compared with their counterparts using the first order transverse shear deformation theory. The comparisons show that the results obtained within the classical laminated theory can be significantly inaccurate. © 1989.