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本文以三维连续体的虚功增量方程为基础,导出了空间梁元大挠度问题内力分析的UL列式法,提出了新的几何刚阵形式。理论与算例都表明:本文方法与ADINA的4号梁元精度相同,但计算时间大大减少,并能用于任意形状截面的杆件。用本文方法编制的NACS程序具有分析大型空间柔性结构在非常规荷载下的强非线性行为的能力,已用于斜拉桥、悬索桥的非线性分析中。
Based on the virtual work incremental equation of three-dimensional continuum, this paper derives the UL column method for analysis of internal forces of spatial beam element with large deflection, and proposes a new form of geometrical lattice. Both the theory and the calculation example show that this method has the same accuracy as ADINA's No. 4 beam element, but the calculation time is greatly reduced, and it can be used for rods of arbitrary shape sections. The NACS program developed by this method has the ability to analyze the strong nonlinear behavior of large space flexible structures under unconventional loads. It has been used in the nonlinear analysis of cable-stayed bridges and suspension bridges.