空间桁架结构动力学形状优化设计

详细信息

SHAPE OPTIMIZATION OF SPACE TRUSSES SUBJECT TO FREQUENCY CONSTRAINTS

(1. Northwestern Polytechnical University, Xi’an, Shaanxi 710072, China; 2. Xi’an Polytechnic University, Xi’an, Shaanxi 710048, China)

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。
- 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
Abstract: 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.
- shape optimization /
- frequency constraints /
- evolutionary node shift method /
- weight minimization /
- sensitivity analysis