(北京工业大学建筑工程学院 100022)
【提要】探讨了以预应力和截面尺寸为设计变量的索承网壳结构截面面积与索力同时优化的设计问题。建立了该结构优化设计的数学模型，采用分层优化算法进行求解。第一层以预应力为设计变量，采用基于连续变量的复形法求解；第二层以截面面积为设计变量，采用改进的离散变量两级优化方法求解。算例表明，方法具有较好的计算效率和收敛性，可供索拱结构、张弦梁结构等空间杂交索结构体系的优化设计借鉴。
【关键词】 索承网壳 分层优化法 构件截面 预应力
Optimal Design of Cablesupported Lattice Shells on Section Sizes and Cable Forces/Li Yongmei,Zhang Yigang(College of Civil Engineering and Architecture,Beijing University of Technology,Beijing 100022,China)
Abstract:Multilevel optimization method on the area and the cable force is developed for cablesupported lattice shells. The solution process is divided into two levels. On level 1 the prestress variables are optimized with complex method. On level 2 the area variables are optimized with advanced two level optimization method for discrete variables. The result of numerical analysis shows that it is very effective to be used in the optimal design of cablesupported lattice shells with stable convergence. It can be used for reference to spatial hybrid cable structures,such as cablearch structures,beam string structures and so on.
Keywords:cablesupported lattice shells; multilevel optimization method; shell member
section; prestress
*国家自然科学基金资助项目(50278004)；北京工业大学青年科研基金资助项目(97004012200501)。