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本文提出了空间桁架结构基于Euler坐标描述的非线性分析方法.几何非线性分析包括考虑结构发生杆端大侧移、杆端大转角下的平衡条件,导出了杆件切线刚度矩阵的显式.材料非线性包括考虑压杆弹塑性失稳前和失稳后的荷载-位移路径.运用本文模型可追踪空间桁架结构外力与位移关系的全过程.
This paper proposes a nonlinear analysis method based on Euler coordinates for space truss structures. The geometric nonlinear analysis includes considering the equilibrium conditions of the large end of the rod and the large end angle of the rod end, and the explicit expression of the tangent stiffness matrix of the rod is derived. Material nonlinearity includes the load-displacement path before and after destabilization of the elastic bar. Using this model, the whole process of the relationship between external force and displacement of space truss structure can be traced.