Optimization Algorithm for Deformation Analysis of the Simply-supported Beam

摘要

In this work, an optimization algorithm is presented for deformation analysis of the simply-supported beam.The principal feature of the optimization algorithm is that the equilibrium state with elastic-plastic deformation is chosen as the study object. The constitutive law adopts elastic-linearly strain-hardening plastic model and the shearing deformation is considered. The endpoint coordinates are given through coordinate recursion formulae, and an objective function is defined by unknown endpoint coordinates of slight segments. The optimization problem for deformation analysis of a simply-supported beam is established, and the optimization program is programmed. Typical examples are calculated by optimization algorithm, and the results are in very good agreement with those by finite element method.