基于等效静载荷和模态跟踪的结构拓扑优化

发布时间：2019-03-18 18:21

【摘要】：为实现结构动态多目标下的拓扑优化设计,以特定模态固有频率最大化和动态柔顺度最小化加权函数为目标,提出动力特性和动力响应综合目标的渐进结构拓扑优化模型。基于等效静载荷原理,将结构的动刚度拓扑优化设计问题转换为多载荷工况静态刚度拓扑优化设计问题。基于模态跟踪技术,保证结构指定模态在渐进优化过程中的一致性。构建归一化目标函数避免不同性质目标函数的量纲与量级差异,融和渐进结构优化方法构造动态多目标下的连续体渐进结构拓扑优化算法。数值算例结果表明:所提出的动态多目标渐进结构优化方法对结构动力学拓扑优化问题具有一定的适用性,拓展了渐进结构优化方法在动力学拓扑优化设计的应用领域。
[Abstract]:In order to realize the topology optimization design of structure under dynamic multi-objective, an evolutionary topology optimization model for the synthesis of dynamic characteristics and dynamic response is proposed, aiming at the weighted function of maximization of natural frequency and minimization of dynamic flexibility of specific modes. Based on the principle of equivalent static load, the dynamic stiffness topology optimization problem of the structure is transformed into the static stiffness topology optimization design problem under multi-load conditions. Based on the modal tracking technique, the consistency of the specified modes of the structure in the process of progressive optimization is guaranteed. The normalized objective function is constructed to avoid the dimension and order difference of the objective function of different properties, and the topology optimization algorithm of continuum progressive structure under dynamic multi-objective is constructed by blending and asymptotic structural optimization method. The numerical results show that the proposed dynamic multi-objective asymptotic structural optimization method is applicable to the structural dynamic topology optimization problem and extends the application field of the asymptotic structural optimization method in the dynamic topology optimization design.
【作者单位】：哈尔滨工程大学机电工程学院;哈尔滨理工大学机械动力工程学院;
【基金】：国家自然科学基金青年基金资助项目(51505096) 黑龙江省自然科学基金面上资助项目(E2015026);黑龙江省自然科学基金青年基金资助项目(QC2016056) 中央高校基本科研业务费专项资金资助项目(HEUCF140701)
【分类号】：TB122

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