任意静定桁架内力分析仿真实验设计  

Design of Simulation Experiment for Force Calculation in any Statically Determinate Truss

作　　者：刘荣梅[1] 陈建平[1] Liu Rongmei;Chen Jianping(College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing,210016,China)

机构地区：[1]南京航空航天大学航空学院,江苏南京210016

出　　处：《中国现代教育装备》2024年第15期19-22,共4页China Modern Educational Equipment

基　　金：南京航空航天大学本科教学建设项目“工程力学问题探究”(编号:2023JG0205X);南京航空航天大学实验教学改革专项“基于MATLAB的理论力学创新仿真实验研发”(编号:SYJS202201Y)。

摘　　要：提出了描述桁架几何结构、载荷和支座约束的平衡方程,构建了桁架系统平衡方程的统一矩阵形式,基于MATLAB开发了静定桁架内力分析仿真实验软件。通过该软件,学生可以自主搭建任意静定平面桁架和空间桁架,并完成结构的内力分析实验。实践表明,将仿真实验引入理论力学课程教学,不仅激发了学生的学习兴趣,加深了学生对基本概念的理解;而且培养了学生的高阶思维,提升了学生利用计算机求解问题的能力。A equilibrium equation for describing geometric construction,loads and supports of any truss is presented.A unified matrix form of equilibrium equations for a truss is constructed.A general software,which can calculate forces in all members and supports of any statically determinate coplanar and space truss,is developed using MATLAB.Students can simulate any statically determinate truss and perform the force analysis experiment based on this software.It is shown that by including these contents in the theoretical mechanics course teaching,not only students'interest in studying is inspired,understanding of basic concepts deepened,but also students'high thinking is cultivated,ability to solve problems with computers improved.

关 键 词：桁架 静定结构 理论力学课程 平衡求解 MATLAB 仿真实验 

分 类 号：G434[文化科学—教育学] TP311[文化科学—教育技术学]