基于MATLAB的空间桁架梁的内力分析计算

针对空间桁架梁杆件多、载荷工况复杂、计算量大、内力图多等特点,运用节点法总结并归纳出桁架梁的各个杆件的内力计算递推公式,并用MATLAB软件进行了仿真计算。该方法是根据推导出的计算公式,运用数学变换来建立空间桁架梁数学模型,确定变量之间的函数关系,分步编制弦杆和腹杆的内力计算程序仿真输出数据和图形。通过仿真得到桁架梁的各杆件在不同的载荷组合工况下的受力情况,找出在最不利工况下的受力杆件,为结构的轻量化研究提供理论基础。

Internal Force Analysis and Calculation of Space Truss Beam Based on MATLAB

For the characteristics of the space truss beam such as many bars,complex load cases,large amounts of calculation,internal force diagram,the node method was used to summarize and deduce a recursive formula which was used for calculating each internal force of the truss rod,and its simulation calculation could be conducted with software MATLAB.According to the calculation formula deduced,this method uses mathematical transformation to build a space truss beam mathematical model,to determine the functional relationship between variables,and then to simulate output data and graphics through outputting the internal force calculation program of the chords and web members step-by-step.The stress state of the truss rod under different load combinations conditions can be obtained through the simulation results,and the force-bearing rod under the most unfavorable conditions was found out to provide a theoretical foundation for structural lightweight research.