闫晓磊, 陈佳文, 张树忠, 张勇, 黄晓东. 基于骨架提取的拓扑优化最小尺寸精确控制[J]. 工程力学, 2021, 38(5): 239-246. DOI: 10.6052/j.issn.1000-4750.2020.02.0108
引用本文: 闫晓磊, 陈佳文, 张树忠, 张勇, 黄晓东. 基于骨架提取的拓扑优化最小尺寸精确控制[J]. 工程力学, 2021, 38(5): 239-246. DOI: 10.6052/j.issn.1000-4750.2020.02.0108
YAN Xiao-lei, CHEN Jia-wen, ZHANG Shu-zhong, ZHANG Yong, HUANG Xiao-dong. PRECISE CONTROL OF MINIMUM LENGTH SCALE IN TOPOLOGY OPTIMIZATION BASED ON SKELETON EXTRACTION[J]. Engineering Mechanics, 2021, 38(5): 239-246. DOI: 10.6052/j.issn.1000-4750.2020.02.0108
Citation: YAN Xiao-lei, CHEN Jia-wen, ZHANG Shu-zhong, ZHANG Yong, HUANG Xiao-dong. PRECISE CONTROL OF MINIMUM LENGTH SCALE IN TOPOLOGY OPTIMIZATION BASED ON SKELETON EXTRACTION[J]. Engineering Mechanics, 2021, 38(5): 239-246. DOI: 10.6052/j.issn.1000-4750.2020.02.0108

基于骨架提取的拓扑优化最小尺寸精确控制

PRECISE CONTROL OF MINIMUM LENGTH SCALE IN TOPOLOGY OPTIMIZATION BASED ON SKELETON EXTRACTION

  • 摘要: 受到可制造性的约束,拓扑优化技术目前多用于结构的概念设计,因此,研究直接面向加工制造的拓扑优化方法很有必要。该文基于启发式BESO(Bi-directional Evolutionary Structural Optimization)算法,提出了一种高效的可精确控制结构最小尺寸的拓扑优化方法。通过灵敏度插值,细化边界单元,改进BESO算法,解决边界不光滑问题;采用拓扑细化方法,提取拓扑结构的骨架构型;以此为基础,判定结构中不满足最小尺寸约束的部位,基于改进的BESO算法,实现拓扑优化结构的最小尺寸精确控制;此外,在优化过程中,通过松弛施加最小尺寸约束的方法,有效避免优化早熟问题。数值算例表明了该拓扑优化方法的有效性。

     

    Abstract: Due to the constraints of manufacturability, current topology optimization technologies are mostly used only in the conceptual design of structures. Therefore, it is necessary to research the method of topology optimization that is directly facing manufacturing. Based on the heuristic BESO (Bi-directional Evolutionary Structural Optimization) algorithm, this paper proposes an efficient topology optimization method that can precisely control the minimum structural size. Through sensitivity interpolations and refinement of boundary elements, current BESO algorithm is improved and the problem of non-smooth boundary is solved. The skeleton configuration of the structural topology is extracted by using the topology refinement method. On this basis, the structural members whose size violate the minimum size constraint can be determined, and thusly the minimum length scale of the topology structure is precisely controlled based on the improved BESO algorithm. Additionally, to avoid the premature problem, a relaxed constraint method is adopted, in which the minimum size constraint is gradually strengthened during the optimization process. Numerical examples demonstrate the effectiveness of the proposed topology optimization method.

     

/

返回文章
返回