1. 中国科学院空间光电精密测量技术重点实验室
2. 中国科学院光电技术研究所
3. 中国科学院大学
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张军峰, 廖靖宇, 刘恩海. 基于SIMP-MMC结构尺寸精确控制拓扑优化方法[J]. 机械强度, 2022,44(1):102-110.
ZHANG JunFeng, LIAO JingYu, LIU EnHai. TOPOLOGY OPTIMIZATION METHOD BASED ON SIMP-MMC FOR STRUCTURE SIZE PRECISE CONTROL[J]. 2022,44(1):102-110.
张军峰, 廖靖宇, 刘恩海. 基于SIMP-MMC结构尺寸精确控制拓扑优化方法[J]. 机械强度, 2022,44(1):102-110. DOI: 10.16579/j.issn.1001.9669.2022.01.014.
ZHANG JunFeng, LIAO JingYu, LIU EnHai. TOPOLOGY OPTIMIZATION METHOD BASED ON SIMP-MMC FOR STRUCTURE SIZE PRECISE CONTROL[J]. 2022,44(1):102-110. DOI: 10.16579/j.issn.1001.9669.2022.01.014.
随着结构拓扑优化方法的发展,为提高其优化结果的工程可制造性,部分学者提出了整合现有拓扑优化方法的策略。具体地,探讨了基于变密度法与可移动变形组件法相融合的拓扑优化方法。该方法首先利用变密度法中的幂函数特性,以快速获得结构主传力路径;其次针对变密度法中的灰度单元,提出采用Otsu阈值处理算法以最大化反映二值拓扑结构信息;在此基础上,利用形态学思想构建了以结构骨架拐点为分界的组件,并过渡到可移动变形组件法完成优化,最终获得精确结构尺寸。分别通过对二维与三维数值算例的最小柔度拓扑优化问题计算,得到结构边界光滑且精确尺寸的优化结果,验证了该方法的有效性。
With the development of structural topology optimization methods, some scholars had proposed strategies to integrate existing topology optimization methods to improve the manufacturability of topology optimization result. Specifically, a topology optimization method combined the Solid Isotropic Material Penalty(SIMP) method and the Moving Morphable Components(MMC) method was proposed. Firstly, the characteristics of power function in SIMP method was used to quickly obtain the main path of force transfer. Secondly, according to the gray-scale elements generated by the SIMP method, an Otsu threshold algorithm was proposed to maximize response of the binary topological structure. On this basis, morphological thought was used to construct a component, whose boundary was the inflection point of the skeleton, then the MMC method was used to complete the optimization to finally achieve the precise control of structure size. By calculating the minimum compliance topology optimization problem of the 2 D and 3 D numerical examples, the optimization results of smooth boundary and precise size of structure are obtained, verifying the effectiveness of proposed method.
Otsu阈值处理方法形态学思想变密度法可移动变形组件法最小柔度
Otsu threshold algorithmMorphological ideaSIMP(Solid Isotropic Material Penalty)MMC(Moving Morphable Components)Minimum compliance
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