运动部件顺应性与避碰协同设计优化

IF 3 3区 计算机科学 Q2 COMPUTER SCIENCE, SOFTWARE ENGINEERING
Amir M. Mirzendehdel, Morad Behandish
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引用次数: 0

摘要

机械组件中移动部件的设计要求通常根据与其他部件的相互作用进行规定。有些纯粹是运动学的(例如,成对碰撞避免),而另一些则取决于物理和材料特性(例如,负载下的变形)。运动学设计方法和基于物理的形状/拓扑优化(SO/TO)分别处理这些要求。他们很少交谈,因为前者使用集合代数和群论,而后者需要离散化和求解微分方程。因此,基于物理优化运动部件通常依赖于预先忽略或修剪运动学约束,例如,通过使用无保留操作将设计域限制为无碰撞空间。在本文中,我们证明了TO可以用于共同设计两个或多个相对运动的零件,以同时满足基于物理的标准和避免碰撞。我们将注意力限制在最大化线性弹性刚度上,同时惩罚时间上聚合的碰撞措施。我们将相对运动的两个零件的TO循环耦合起来,以便在惩罚另一个零件的碰撞时考虑每个零件形状的演变。碰撞测量是通过相关函数计算的,该函数可以通过形状设计变量的左和右乘以仅取决于运动的预先计算的矩阵来离散化。这种解耦是使计算可扩展到to迭代的关键。我们通过二维和三维实例证明了该方法的有效性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。

Co-design Optimization of Moving Parts for Compliance and Collision Avoidance

Co-design Optimization of Moving Parts for Compliance and Collision Avoidance

Design requirements for moving parts in mechanical assemblies are typically specified in terms of interactions with other parts. Some are purely kinematic (e.g., pairwise collision avoidance) while others depend on physics and material properties (e.g., deformation under loads). Kinematic design methods and physics-based shape/topology optimization (SO/TO) deal separately with these requirements. They rarely talk to each other as the former uses set algebra and group theory while the latter requires discretizing and solving differential equations. Hence, optimizing a moving part based on physics typically relies on either neglecting or pruning kinematic constraints in advance, e.g., by restricting the design domain to a collision-free space using an unsweep operation. In this paper, we show that TO can be used to co-design two or more parts in relative motion to simultaneously satisfy physics-based criteria and collision avoidance. We restrict our attention to maximizing linear-elastic stiffness while penalizing collision measures aggregated in time. We couple the TO loops for two parts in relative motion so that the evolution of each part’s shape is accounted for when penalizing collision for the other part. The collision measures are computed by a correlation functional that can be discretized by left- and right-multiplying the shape design variables by a pre-computed matrix that depends solely on the motion. This decoupling is key to making the computations scalable for TO iterations. We demonstrate the effectiveness of the approach with 2D and 3D examples.

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来源期刊
Computer-Aided Design
Computer-Aided Design 工程技术-计算机:软件工程
CiteScore
5.50
自引率
4.70%
发文量
117
审稿时长
4.2 months
期刊介绍: Computer-Aided Design is a leading international journal that provides academia and industry with key papers on research and developments in the application of computers to design. Computer-Aided Design invites papers reporting new research, as well as novel or particularly significant applications, within a wide range of topics, spanning all stages of design process from concept creation to manufacture and beyond.
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