曲杆单元铰接单层网壳弹塑性后屈曲分析

基于曲杆单元应力 弦长关系和矩阵微分理论，推导出曲杆单元在弹性与弹塑性状态下的切线刚度矩阵精确公式。研究构件取理想弹塑性材料，结构支座取固定铰支座和可动铰支座2种约束情况，考虑构件具有初弯曲，采用曲杆单元切线刚度矩阵和广义位移控制法，取结构自重为参考荷载，对节点铰接的K8大跨单层网壳结构进行弹塑性后屈曲分析。结果表明:曲杆单元切线刚度矩阵公式精确性很高，可有效用于大型铰接单层网壳弹塑性后屈曲分析。

Elastic plastic Post-buckling Analysis on Articulated Single-layer Reticulated Shells with Curved Lever Unit

The accurate tangent stiffness matrix formula of curved lever unit at elastic and elastic-plastic states was derived based on stress-chord length relation and matrix differential theory. The research component was ideal elastic plastic material. The structure support included 2 kinds of constraint conditions of the fixed hinge support and the movable hinge support. The initial bending of the component was considered, the tangent stiffness matrix of curved lever unit and the generalized displacement control method were adopted, and the structure weight was taken as the reference load. The elastic and plastic post-buckling analysis of K8 large span single layer reticulated shell structures was carried out. The results show that the tangent stiffness matrix of curved lever unit is accurate, and can be used to the elastic-plastic post-buckling analysis of large hinged single layer reticulated shells.