计算双向张弦结构下弦索曲面形状的非线性有限元法  

Nonlinear FEM to calculate the curved surface of the down string-net of bi-directional string structure

作　　者：尚仁杰[1] 吴转琴[1] 李佩勋[1] 宫锡胜[1] 

机构地区：[1]中冶集团建筑研究总院,北京100088

出　　处：《空间结构》2007年第4期51-54,42,共5页Spatial Structures

摘　　要：根据平屋顶双向张弦结构索的平衡荷载与索曲面及索拉力之间的关系,给出了下弦索网所在曲面的偏微分方程.提出了用考虑索拉力产生的应力刚化作用的大变形几何非线性有限元法计算平屋顶双向张弦结构下弦索网曲面形状的方法,并给出了该方法的计算过程.通过理论分析给出了屋面为曲面时下弦索网的形状变化规律.通过算例介绍了有限元法确定下弦曲面的计算过程,并验证了计算结果的正确性.本文给出的计算方法物理意义明确,计算过程简单方便,计算结果准确可靠.The differential equation of the curved surface of the down string-net of bi-directional string structure with flat roof is deduced in the paper based on the relationships of balanced load, the form of string-net and the tensions of the strings. The nonlinear FEM considering the stress stiffen and geometry non-linearity of large deformation to calculate the curved string-net surface is provided according to the equilibrium condition of plane cable-net. The deformation rule of the curved surface of down string-net is given by analysis. The FEM process to calculate the net surface is introduced by an example. The method in the paper brings the definite physical meaning, is easy to carry out and has the accurate result.

关 键 词：双向张弦结构 平面索网 平衡荷载 非线性有限元法 

分 类 号：TU394[建筑科学—结构工程]