Nonlinear bending of Reissner-Mindlin plates with free edges under transverse and in-plane loads and resting on elastic foundations

摘要

A nonlinear bending analysis is presented for a rectangular Reissner-Mindlin plate with free edges subjected to combined transverse partially distributed load and compressive edge loading and resting on a two-parameter (Pasternak-type) elasticfoundation. The formulations are based on the Reissner-Mindlin plate theory considering the first-order shear deformation effect, and including the plate-foundation interaction. The analysis uses a mixed Galerkin-perturbation technique to determine theload-deflection curves and load-bending moment curves. Numerical examples are presented that relate to the performances of moderately thick rectangular plates with free edges subjected to combined loading and resting on Pasternak-type elastic foundationsfrom which results for Winkler elastic foundations are obtained as a limiting case. The influence played by a number of effects, among them foundation stiffness, transverse shear deformation, loaded area, the plate aspect ratio and initial compressiveload are studied. Typical results are presented in dimensionless graphical form.