(北京工业大学建工学院 100022)
【提要】 提出了把近似满应力设计方法、弧长法和相对差商法结合起来的改进的离散变量两级优化方法，给出了同时考虑应力约束、位移约束和结构整体稳定性约束的优化算法。在考虑几何非线性的基础上，研究了单层网壳结构以结构质量最轻为目标函数的优化问题，编制了相应的计算程序，并通过算例进行了分析验证。
【关键词】 离散变量 优化方法 近似满应力设计 弧长法 相对差商法 几何非线性
Optimum Design of Singlelayer Lattice Shells Considering Structural Whole Stability/Li Yongmei,Zhang Yigang(College of Civil Engineering and Architecture,Beijing University of Technology,Beijing 100022,China)
Abstract:An advanced 2level optimization method is presented for the structural optimum
design with discrete variables,which is combined with  approximate fullstress design method,arclength method and relative difference quotient method.Not only under stress and section size constraints can it be directly calculated,but also under stability and displacement constraints can it be dealt with by this method for the structural optimum design with discrete variables.Taken the structure mass as an objective function,the structural optimum is studied for singlelayer lattice shells based on structural geometrical nonlinearity.A relevant computer program is developed for the method.The method is illustrated by a numerical example and the result of the example shows that the method is efficient.
Keywords:discrete variables; advanced 2level optimization method; approximate fullstress design; arclength method; relative difference quotient method; geometrical nonlinearity

*国家自然科学基金(50278004)资助项目。