| 周期性多孔结构特征值拓扑优化 |
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| 引用本文： | 付君健,张跃,杜义贤,高亮. 周期性多孔结构特征值拓扑优化[J]. 振动与冲击, 2022, 0(3): 73-81 |
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| 作者姓名： | 付君健 张跃 杜义贤 高亮 |
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| 作者单位： | 水电机械设备设计与维护湖北省重点实验室;三峡大学机械与动力学院;华中科技大学数字制造装备与技术国家重点实验室 |
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| 基金项目： | 国家自然科学基金(51775308);湖北省教育厅科学技术研究项目(Q20201205);水电机械设备设计与维护湖北省重点实验室项目(2020KJX04)。 |
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| 摘 要： | 为了实现尺度关联周期性多孔结构的隔振性能优化,提出一种周期性多孔结构特征值拓扑优化方法。基于子结构动态凝聚方法对多孔结构的刚度和质量矩阵进行缩减,采用局部水平集函数(LLSF)对多孔结构进行几何隐式描述,以最大化前6阶特征值为目标函数,以结构体积分数为约束条件,建立周期性多孔结构特征值拓扑优化模型,采用优化准则法对拓扑优化模型进行求解,并研究了多孔结构特征值拓扑优化的尺度效应。研究表明,该方法能有效实现尺度关联的二维和三维周期性多孔结构的特征值拓扑优化,并能大幅提高特征值拓扑优化的计算效率。
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| 关 键 词： | 动态凝聚 特征值拓扑优化 水平集法 多孔结构 子结构法 |
Eigenvalue topology optimization of periodic cellular structures |
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| FU Junjian,ZHANG Yue,DU Yixian,GAO Liang. Eigenvalue topology optimization of periodic cellular structures[J]. Journal of Vibration and Shock, 2022, 0(3): 73-81 |
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| Authors: | FU Junjian ZHANG Yue DU Yixian GAO Liang |
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| Affiliation: | (Hubei Key Laboratory of Hydroelectric Machinery Design&Maintenace,Yichang 443002,China;College of Mechanical&Power Engineering,China Three Gorges University,Yichang 443002,China;State Key Lab of Digital Manufacturing Equipment and Technology,Huazhong University of Science and Technology,Wuhan 430074,China) |
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| Abstract: | To realize the vibration isolation performance optimization of scale-related periodic cellular structures,this paper proposed an eigenvalue topology optimization method of periodic cellular structures.The stiffness matrix and mass matrix of the cellular structures are reduced based on the substructural dynamic condensation method.Local level set functions are applied to implicitly describe the geometry of the cellular structures.The topology optimization model of periodic cellular structures is established to maximize the first 6 eigenvalues with volume fraction as the constraint.The topology optimization model is then solved by the optimality criteria method.The scale effect of the topology optimization of cellular structures is also investigated.Research shows that the proposed method can effectively realize the topology optimization of scale-related 2D and 3D periodic cellular structures.The computational efficiency of the eigenvalue topology optimization is also improved intensively. |
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| Keywords: | cellular structures eigenvalue topology optimization level set method substructure method dynamic condensation |
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