A Multi-Objective Topology Optimization Method Used in Simultaneous Constraints of Natural Frequency and Static Stiffness

Wen Wang, Tian Qingguo, Wang Fengbin, Fan Yesen, Zheng Shikun, Zhang Wenhui
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Abstract

A multi-objective topology optimization method, based on the classical 99-line topology optimization program and 169-line 3d topology optimization program is proposed. Two-dimensional MBB beam and three-dimensional cantilever beam are optimized, the solution of the first order natural frequency and static stiffness under the constraint of the same time is given. This method can not only satisfy the strict weight requirement of aerospace products, but also avoid the resonance near the working frequency under the condition of satisfying the static stiffness constraint.
一种同时约束固有频率和静刚度的多目标拓扑优化方法
在经典的99线拓扑优化程序和169线三维拓扑优化程序的基础上,提出了一种多目标拓扑优化方法。对二维MBB梁和三维悬臂梁进行了优化,给出了同一时间约束下一阶固有频率和静刚度的解。该方法既能满足航空航天产品对重量的严格要求,又能在满足静刚度约束的情况下避免在工作频率附近产生共振。
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