(1 北京市建筑设计研究院，100045；2 清华大学，北京100084)

［提要］以民航博物馆不规则连续单层网壳结构为例，对单层网壳考虑弹塑性稳定性和优化设计进行探讨。比较了各荷载工况作用下的几何非线性极限承载力、弹塑性非线性极限承载力与荷载标准值之比和线弹性外力势能的分布规律，初步探讨了在诸多荷载组合工况中选择单层网壳结构弹塑性稳定极限承载力控制工况的方法。探讨单层网壳考虑弹塑性稳定优化设计的实用简化方法，提出了杆件截面优化的应力比缩减分层法，使复杂的优化设计问题简单化。

［关键词］单层网壳；稳定分析；几何非线性；弹塑性屈曲；优化设计

Study on Elastic plastic Stability and Design Optimization of Single layer Latticed Shell Structure/Xue Huili1，Gan Ming1， Ke Changhua1，Shi Yongjiu2(1 Beijing Institute of Architectural Design，Beijing 100045，China；2 Tsinghua University，Beijing 100084，China)

Abstract:Taking the irregular multiple span single layer latticed shell structure applied in China Civil Aviation Museum as the case example, it researches the elastic plastic stability and design optimization of single layer latticed shell structure.Among all load combinations，a comparison of the distribution patterns of the following is completed.The ratio of the geometrically non linearity ultimate bearing capacity to the characteristic value of load, the ratio of the elastic plastic non linearity ultimate bearing capacity to the characteristic value of load, and the potential energy,are studied. To search for the method of choosing dominant load combination from the combined loads for the ultimate bearing capacity of elastic plastic stability of single layer latticed shell structure,and find the practical method of simplification for design optimization of elastic plastic stability of single layer latticed shell structure,the stratification, method and stress ratio reducing method are proposed for the optimization of member section, which makes the complicated design optimization simply.

Keywords:single layer latticed shell; stability; geometrical non linearity; elastic plastic buckling; design optimization