BUCKLING AND VIBRATION OF THICK LAMINATES ON PASTERNAK FOUNDATIONS

This paper investigates buckling, free vibration, and vibration with i nitial in-plane loads for moderately thick, simply supported symmetric cross-ply rectangular laminates on Pasternak foundations. The total p otential energy functional is derived based on the first-order shear d eformation plate theory. The differential equations, which govern the vibration and buckling behavior of the plate are then derived from the potential energy functional. Employing the Navier solution procedure, closed-form buckling and vibration solutions have been obtained and a re presented in tables and figures. Extensive parametric studies have been carried out to investigate the effects of plate geometry, in-plan e load ratio, and foundation parameters on the buckling and vibration behavior of the plate system. Sets of first-known closed-form buckling and vibration results are presented for simply supported symmetric cr oss-ply laminates on Pasternak foundations. These results may be usefu l to engineers in engineering practice and to researchers in checking numerical models.