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本文在文献[1]基础上,增加几何非线性分析(二阶理论),导出空间薄壁主梁单元及空间组合索单元的大位移刚度矩阵显式。采用原(不动)坐标系进行大挠度分析,以分别确定弹性刚度、几何刚度、及大位移刚度对静力分析的贡献,并采用牛顿～拉甫生修正迭代法解非线性方程组。文末给出数值算例。
Based on the literature [1], this paper adds geometric nonlinear analysis (second-order theory) to derive explicit large displacement stiffness matrix of space thin-walled main girder element and space combination element. The original (immovable) coordinate system is used to conduct large deflection analysis to determine the contribution of elastic stiffness, geometric stiffness and large displacement stiffness to static analysis respectively. The nonlinear equations are solved by Newton-Raphson’s modified iterative method. Numerical examples are given at the end of this article.