A Numerical Method to Analyze some Simple Planar Frames Subjected to Concentrated Loads with Elastic Large Deflection

Abstract

In this paper a general numerical method to analyze some simple planar frames subjected to concentrated loads with elastic large deflection is presented. In the method some reactions or displacements at the ends of the frames with three or below redundant constraints are considered as unknown, and a numerical method based on a more-fold method of bisection is presented to solve for the unknown reactions or displacments under known boundary conditions. In the examples in the paper,the flow graphs of solving for unknown reactions or displacements are demonstrated and some analysical results are given by the aid of some graphics.These examples show that some simple frame structures with three or below redundant constraints can all be analyzed easily and quickly with the numerical method presented in the paper.