基于MATLAB平台的悬臂梁静力弹性分析  

Static elastic analysis of cantilever beams based on MATLAB platform

作　　者：谭宸 Tan Chen(College of Civil Engineering,Tongji University,Shanghai 200092,China)

机构地区：[1]同济大学土木工程学院,上海200092

出　　处：《山西建筑》2023年第20期42-45,50,共5页Shanxi Architecture

摘　　要：有限单元法(FEM)可以很好地解决复杂的结构工程问题,商业化有限元分析软件层出不穷。然而,伴随着有限元软件功能的不断完善,对于刚接触有限元软件的学生而言,往往对其一知半解,在有限元分析中着重于物理参数的调节。为了加深学生们对于有限元方法基本原理的理解,基于MATLAB平台,开发了一个结构良好、易于使用的计算悬臂梁结构弹性变形的有限单元分析程序。通过该程序,可以进一步加深学生们采用有限元法分析问题编制程序的理解。为了验证本文MATLAB程序的有效性,将程序分析计算结果与所建立的ABAQUS有限元软件分析结果进行对比。研究结果表明,所开发的基于MATLAB平台的悬臂梁弹性分析程序可以较好地预测梁的小变形,所得计算结果与有限元软件计算结果符合较好。The Finite Element Method(FEM)can be a good solution to complex structural engineering problems and commercial FEA software is becoming increasingly available.However,along with the continuous improvement of FEM software,students who are new to FEM software often have little understanding of it and focus on the adjustment of physical parameters in FEM analysis.In order to deepen students’understanding of the basic principles of the finite element method,this paper develops a well-structured and easy-to-use finite element analysis program for calculating the elastic-plastic deformation of cantilever beam structures based on the MATLAB platform.The program is used to further the students’understanding of programming problems using the finite element method of analysis.In order to verify the effectiveness of the MATLAB program in this paper,the analytical calculation results of the program are compared with the analytical results of the established ABAQUS and the theoretical analysis results.The results show that the developed MATLAB-based cantilever beam elastic analysis program can predict the beam deformation better,and the obtained calculation results are in good agreement with the theoretical calculation and the finite element software calculation results.

关 键 词：悬臂梁 弹性分析 有限单元法 MATLAB 

分 类 号：TU313[建筑科学—结构工程]