预应力索-桁架结构形状优化设计  

Shape optimization design of prestressed cable-truss structures

作　　者：张爱林[1] 杨海军[1] 

机构地区：[1]北京工业大学建筑工程学院,北京100022

出　　处：《计算力学学报》2007年第1期91-97,共7页Chinese Journal of Computational Mechanics

基　　金：国家自然科学基金(50278005);北京市科委科技奥运专项基金(Z0005191040111);北京市自然科学基金(8012004);北京市拨尖创新人才资助项目

摘　　要：就预应力索-桁架结构形状优化设计问题,考虑了施加预应力阶段、预应力与荷载共同作用阶段的性态约束条件,建立了设计变量包括截面尺寸、索力值、杆件及索节点坐标的形状优化数学模型;在求解方法上将设计变量分为两个子空间:第一子空间为索力值和截面尺寸优化设计空间,第二子空间为形状优化设计空间;第一子空间给出新的求解方法以减轻结构重量,第二子空间用节点渐进法优化结构形状和布索位置以增加结构刚度。算例表明,该方法能使结构重量逐步减轻,结构刚度不减,形状逐步达到最优。In this paper, prestressed cable-truss optimization design is discussed where in design variables including cross-section size, cable pretension force and nodes locations of member and cable, the constraint conditions of a two-stage design of applying prestress and applying prestress and load together are considered. A relevant shape optimization mathematical model is founded. In order to solve the problem, the design variables are divided into two subspaces: the first one is the cable pretension force and the cross-section size optimization space, the second one is shape optimization space. For the first one, a new solution method is provided to reduce the structure weight, and for the second one, evolutionary method of nodes is applied to optimize the structural shape and cable locations to improve the structural stiffness. Examples indicate that the method has the merit that the structural weight reduces gradually without decreasing in stiffness and the structural shape works up to the optimal status in the optimization design of prestressed cable-truss structures.

关 键 词：预应力索桁架 索力值优化 截面尺寸优化 形状优化 节点渐进法 

分 类 号：TU394[建筑科学—结构工程]