A perturbation-variational solution of the large deflection of rectangular plates under uniform load (Q1082133)

In this paper, von Kármán's set of nonlinear equation for large deflection of rectangular plates is at first converted into several sets of linear equations by taking central dimensionless deflection as perturbation parameter, and then, the sets of linear equations for plates with various ratios of length to width are solved by variational methods. The analytical expressions for displacements and stresses as well as formulas for numerical calculation are worked out. The figures of maximum deflection-load and maximum stress with ratio \(\lambda\) of length to width as a parameter are given in this paper. Through comparison, it is found that the results of this paper are quite in accordance with experiments.