考虑结构整体稳定性的单层网壳优化设计  

Optimum Design of Single-layer Lattice Shells Considering Structural Whole Stability

作　　者：李永梅[1] 张毅刚[1] 

机构地区：[1]北京工业大学建工学院,100022

出　　处：《建筑结构》2006年第4期77-80,共4页Building Structure

基　　金：国家自然科学基金(50278004)资助项目

摘　　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。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.

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 

分 类 号：TU356[建筑科学—结构工程] O342[理学—固体力学]