Moving Morphable Multi Components Introducing Intent of Designer in Topology Optimization
Moving Morphable Multi Components Introducing Intent of Designer in Topology Optimization
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DOI：
10.2514/1.j062210
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发表时间：
2023-01
期刊：
影响因子：
2.5
通讯作者：
Keisuke Otsuka;Shuonan Dong;Ryo Kuzuno;H. Sugiyama;Kanjuro Makihara
中科院分区：
文献类型：
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作者：
Keisuke Otsuka;Shuonan Dong;Ryo Kuzuno;H. Sugiyama;Kanjuro Makihara
基于移动可变形构件的拓扑优化方法可以有效地生成由少量几何设计变量表示的拓扑。然而，传统的移动可变形组件有三个问题：组件之间缺乏[公式：参见文本]连续性，难以描述平滑的上卷形状，以及难以生成优化拓扑的刚性关节。在这项研究中，一个新的拓扑优化框架，通过引入多体分析设计的理论。首先，提出了一种基于绝对节点坐标的自适应移动变形构件。由于位置和坡度都被用作设计变量，因此[公式：见正文]可确保连续性。其次，利用绝对节点坐标的线性约束，提出了一种位置和梯度连接算法来描述光滑的卷起形状。在优化器中引入梯度约束方程，生成刚性关节。与传统的短梁问题相比，所开发的框架表现出上级收敛性。它成功地生成了设计师意图的最佳拓扑（即设计师选择的拓扑连续性和刚性接头），这促进了拓扑优化结构构件的组装和制造，以构建整个航空航天结构。
Topology optimization based on moving morphable components efficiently generates a topology that is expressed by a few geometrical design variables. However, conventional moving morphable components have three problems: lack of [Formula: see text] continuity between components, difficulty in describing a smooth rollup shape, and difficulty in generating a rigid joint to an optimized topology. In this study, a novel topology optimization framework was developed by introducing theories devised for multibody analysis. First, an adaptive moving morphable component based on absolute nodal coordinate formulation was proposed. Because both the position and gradient are used as design variables, [Formula: see text] continuity is ensured. Second, a position and gradient connection algorithm leveraging the linear constraint of the absolute nodal coordinate formulation was proposed to describe the smooth rollup shape. Third, a rigid joint was generated by introducing the gradient constraint equation in an optimizer. The developed framework exhibited superior convergence as compared with the conventional one in the benchmark short beam problem. It successfully generated an optimal topology with the intent of a designer (that is, designer-selected topology continuity and rigid joints), which facilitated the assembly and manufacturing of topologically optimized structural members to construct an entire aerospace structure.