Optimizing contact-based assemblies
Optimizing contact-based assemblies
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DOI：
10.1145/3478513.3480552
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发表时间：
2021-12
期刊：
影响因子：
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通讯作者：
Davi C. Tozoni;Yu-Nong Zhou;D. Zorin
中科院分区：
文献类型：
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作者：
Davi C. Tozoni;Yu-Nong Zhou;D. Zorin
现代制造方法以可承受的成本大大简化了复杂自由形状的制造，并通过自动优化，特别是形状优化，为改善功能和定制开辟了新的可能性。然而，大多数现有的形状优化方法集中在单个零件。在这项工作中，我们专注于支持组件的形状优化，更具体地说，组件通过接触和摩擦保持在一起。其示例包括家具接头、建筑组件、某些类型的假肢装置和许多其他装置。为了实现这种优化，我们提出了一个框架，支持强大的和准确的优化的一些重要的功能，同时强制执行的约束，装配功能必不可少的：重量，压力，把组装在一起的难度，以及如何可靠地保持在一起。我们的框架是基于光滑的制定弹性方程接触，解析推导的形状导数，和强大的重新网格化，使大的形状变化，并在同一时间，保持精度。我们证明了它可以实现一些计算和实验的例子的改进。
Modern fabrication methods have greatly simplified manufacturing of complex free-form shapes at an affordable cost, and opened up new possibilities for improving functionality and customization through automatic optimization, shape optimization in particular. However, most existing shape optimization methods focus on single parts. In this work, we focus on supporting shape optimization for assemblies, more specifically, assemblies that are held together by contact and friction. Examples of which include furniture joints, construction set assemblies, certain types of prosthetic devices and many other. To enable this optimization, we present a framework supporting robust and accurate optimization of a number of important functionals, while enforcing constraints essential for assembly functionality: weight, stress, difficulty of putting the assembly together, and how reliably it stays together. Our framework is based on smoothed formulation of elasticity equations with contact, analytically derived shape derivatives, and robust remeshing to enable large changes of shape, and at the same time, maintain accuracy. We demonstrate the improvements it can achieve for a number of computational and experimental examples.