首页> 中文期刊> 《应用数学和力学:英文版》 >THE SOLUTION OF RECTANGULAR PLATES WITH LARGE DEFLECTION BY SPLINE FUNCTIONS

THE SOLUTION OF RECTANGULAR PLATES WITH LARGE DEFLECTION BY SPLINE FUNCTIONS

         

摘要

In this paper,Von Kármán’s set of nonlinear equations for rectangular plates withlarge deflection is divided into several sets of linear equations by perturbation method,thedimensionless center deflection being taken as a perturbation parameter.These sets of linearequations are solved by the spline finite-point(SFP)method and by the spline finiteelement(SFE)method.The solutions for rectangular plates having any length-to-widthratios under a uniformly distributed load and with various boundary conditions arepresented,and the analytical formulas for displacements and deflections are given in thepaper.The computer programs are worked out by ourselves.Comparison of the results withthose in other papers indicates that the results of this paper are satisfactorily better.

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