平面刚架以单元截面特性为变量的解析解<sup>*</sup>

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平面刚架以单元截面特性为变量的解析解^*

基金项目: * 国家自然科学基金

Research Institute of Engineering Mechanics, Dalian University of Technology, Dalian 116023, P.R.China

摘要: 取平面刚架单元截面面积与抗弯惯矩为变量,采用符号计算软件求解含变量的总刚度阵之逆,从而得到这种意义下的解析解。在微机上编制了通用的程序,计算出了相应的算例。
- 平面刚架 /
- 符号计算 /
- 含参矩阵求逆 /
- 解析解
Abstract: Taking the sectional area and the bending moment of inertia as variables for each beam element,the plane frame will possess a stiffness matrix containing parameters.In terms of the symbolic computation software,the inverse matrix is solved to obtain the new analytical solution with respectic characteristics of elements cross-section.The general program is coded in the microcomputer and corresponding exmpales are computed.
- plane frame /
- symbolic computation /
- inverse matrix containing parameters /
- analytical solution

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