平面杆系结构内力图的程序化作图方法

Programmed drawing method of plane member structure's internal force diagram

结构内力图是结构分析计算中的重要图形。在结构有限元分析中,根据输出的内力值绘制内力图,使计算结果形象、直观,这对计算机辅助教学以及实际工程具有重要意义。引入单元局部坐标系和结构整体坐标系,根据静力平衡条件,系统地提出了局部坐标系下杆件单元内力图的程序化作图方法、作图规定;根据两种坐标系中点的对应关系,给出了整体坐标系中结构内力图的坐标公式,提出了结构内力图的程序化作图方法。该方法适于任意平面杆系结构,由该方法作出的内力图与理论作图方法完全一致。

Structural internal force diagram is very important for structural analysis.In FEM analysis,drawing force diagram,according to outputs of the internal force,makes the results imaginal and intuitive,which is significant for computer-assisted teaching,as well as practical engineering application.Based on static balance,introducing element local coordinate system and global coordinate system,the paper first proposes a programming method and mapping regulation of member element internal force diagram;Based on point＇s corresponding relationship between local coordinate system and global coordinate system,then puts forward coordinate formula and mapping methods of structural internal force diagram.The method is suitable for any plane member structure,and the outputs of the internal force diagram are consistent to theoretical results.