大型复杂空间桁架结构非线性有限元求解格式

Nonlinear finite element solution formulation for complex space truss structure

针对大型复杂的空间桁架结构的大位移静力分析,提出一个新的几何非线性求解格式。该格式基于有限元法,采用节点位置而不是节点位移来描述问题。应用固定空间的笛卡尔坐标系,从提出的位置概念直接确定应变。将该求解格式算例结果与弧长法计算结果比较,结果表明,该求解格式具有良好的精度,对大型复杂空间桁架结构的几何非线性分析是可行和有效的。

A new geometric nonlinear formulation for large-deflection static problems involving com- plex space truss structure was presented based on the finite element method. In the proposed formu- lation nodal positions rather than nodal displacements were adopted to describe the problem. The strain was determined directly via the proposed position concept, using a fixed-space Cartesian coordinate system. The results indicate that the p suits. Examples were provided in the example roposed formulation is simple and can yield good resection to validate the formulation.