空间桁架结构动力学形状优化设计  

SHAPE OPTIMIZATION OF SPACE TRUSSES SUBJECT TO FREQUENCY CONSTRAINTS

作　　者：王栋[1] 李晶[2] 

机构地区：[1]西北工业大学航空结构工程系,西安710072 [2]西安科技大学机电工程学院,西安710048

出　　处：《工程力学》2007年第4期129-134,共6页Engineering Mechanics

基　　金：国家自然科学基金资助项目(50575181);航空基金资助项目(03B53006);陕西省教育厅资助项目(05JK196)

摘　　要：在多阶固有频率约束条件下,采用“渐进结点移动法”,对空间桁架结构的形状进行优化设计,使结构重量达到最小。首先分析固有频率相对结点位置的一阶导数,确定结点移动的效率,即灵敏度数。根据灵敏度分析结果,优先移动效率较高的结点。然后,利用库恩-塔克优化条件检验所得结果,保证优化过程收敛于最小重量设计。最后,用二个典型数值算例验证本文算法的有效性和可靠性。An evolutionary node shift method is presented for shape （geometry） optimization of a space truss structure with several frequency constraints. Coordinates of nodes or joints are regarded as design variables in the process. By means of design sensitivity analysis, the nodal efficiency or sensitivity number is first defined, and the most efficient nodes are identified and shifted in priority. The optimal solution is achieved gradually with a minimum weight increment. Kuhn-Tucker optimality conditions are then used to examine the obtained result to ensure weight minimization. Finally, two typical trusses are employed to demonstrate the feasibility and effectiveness of the method.

关 键 词：形状优化 频率约束 渐进结点移动法 最小重量设计 灵敏度分析 

分 类 号：TU318[建筑科学—结构工程]