New Method for Double Nonlinear Analysis of the Simple-supported Beam with Elastic-perfectly Plastic Model

摘要

In this paper,a new method is presented for double nonlinear analysis of the simply-supported beam with elastic-perfectly plastic model.The major character of the new method is that the equilibrium state with elastic-plastic large deformation is chosen as the study object.The constitutive law adopts elastic-perfectly plastic model and the shearing deformation is taken into account.The endpoint coordinates are given by means of coordinate recursion formulae,and the objective function is defined by unknown endpoint coordinates of slight segments.The optimization problem is established for double nonlinear analysis of the simply-supported beam,and the optimization program is programmed.Typical numerical examples are calculated by optimization algorithm,and the results are in very good agreement with those by FEM.So this paper provides a new and effective idea for double nonlinear problem of the simply-supported beam.