A global direct search method for high-fidelity contact detection between arbitrarily shaped three-dimensional convex polyhedral blocks

A global direct search method for high-fidelity contact detection between arbitrarily shaped three-dimensional convex polyhedral blocks
复制标题

任意形状三维凸多面体块间高保真接触检测的全局直接搜索方法

DOI:
10.1016/j.compgeo.2022.104891
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发表时间:
2022-10
影响因子:
5.3
通讯作者:
Antonio Bobet
Antonio Bobet
中科院分区:
工程技术2区
文献类型:
--
作者:
Xi Wang;Wei Wu;Hehua Zhu;Hong Zhang;Jeen-Shang Lin;Antonio Bobet

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任意形状的凸多面体块之间的高保真接触检测是一个重要的问题。普通平面(CP)和GJK算法速度较快,但在准确识别接触点和平面方面仍存在一些不足。直接搜索法可以精确地确定接触点和接触面,但受局部假设的限制。具体地说,具有小角度或小边缘的不规则块会导致假接触,而大侵彻会导致接触消失,这将破坏DS方法的模拟。在这项研究中,提出了一种新的全局直接搜索(GDS)方法来全局搜索Meta(3D中的顶点-面或交叉边-边)接触。该方法不需要局部假设,能够准确地检测任意形状的凸多面体块之间的接触,而不会出现虚假接触和消失接触。该方法继承了接触理论的全局搜索思想。通过几个案例对该方法进行了验证,结果表明GDS成功地避免了错误接触和消失接触,并证明了其准确性、稳健性和提高了效率。
High-fidelity contact detection between arbitrarily shaped convex polyhedral blocks is an important problem. The common plane (CP) and GJK algorithms are fast but still have some drawbacks in identifying accurate contact points and planes. The Direct Search (DS) method can ascertain the contact points and planes accurately but is limited by its locality assumption. To be specific, irregular blocks with small angles or small edges can cause false contacts, and large penetration will induce vanishing contacts, which will destroy the simulation using the DS method. In this study, a novel Global Direct Search (GDS) method is proposed to search for meta (vertex-face or cross edge-edge in 3D) contacts globally. Without locality assumption, the GDS method can accurately detect contacts between arbitrarily shaped convex polyhedral blocks without suffering from false and vanishing contacts. The new method inherits the global search idea of Contact Theory. Several case studies are used to verify the method and show that the GDS successfully avoids false and vanishing contacts, as well as demonstrate its accuracy, robustness, and improved efficiency.
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