基于MATLAB和矩阵位移法的平面杆系结构有限元程序设计  

Finite Element Programming for Plane Skeletal Structures based on Matrix Displacement Method with MATLAB

作　　者：阙仁波 QUE Renbo(Department of Civil Engineering, Xiamen University Tan Kah Kee College, Zhangzhou 363105)

机构地区：[1]厦门大学嘉庚学院土木系

出　　处：《福建建筑》2019年第5期109-116,共8页Fujian Architecture & Construction

摘　　要：基于MATLAB语言和矩阵位移法思想,进行了平面杆系结构有限元程序设计,并结合实例阐释了其编制思想和使用方法。该程序按分析刚架的一般模式编写,而将连续梁和桁架看作特殊的刚架,从而使其通用于分析刚架、连续梁、桁架及组合结构,对不同类型的结构,都采用统一的分析模式,这对分析组合结构尤其具有优势。该程序充分发挥了MATLAB--矩阵实验室擅长矩阵计算的优势,代码简洁,数据准备简单、计算流程清晰、结果输出可选,可作为矩阵位移法原理教学之外的一种实践补充,与教材紧密配套,切入方便快捷,以较低的门槛,引领学生初窥有限元。A finite element program for plane skeletal structures was developed based on matrix displacement method with MATLAB. Some examples were provided to illustrate the idea of programming and the use of the program. It was developed according to the general procedure for analyzing frames. However, it will be generally applicable to the analysis for continuous beams, trusses, frames, and combined structures just by taking continuous beams and trusses as a special case of frames. The analysis for different structures above follows the same procedure, which makes it have great advantages especially for analyzing combined structures. The program code is very concise by taking full advantage of powerful capacity of MATLAB, matrix laboratory, to manipulate matrix. It's easy to prepare input data. The logic flow to implement computation is clear. The output can be optional. It can be a beneficial supplement to theory teaching, say, from fundamental theory to program implementation. Closely based on the textbook, and so it can be demonstrated conveniently and efficiently in the course of theory teaching and guide students to a preliminary understanding of finite element method with a lower threshold.

关 键 词：MATLAB 矩阵位移法 平面杆系结构 有限元 

分 类 号：TU3[建筑科学—结构工程]