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March 3, 2026Scientia Sinica Technologica0 citationsOpen Access

Vector movement method: a new method for generating the entrance block and parallel computation for 2D convex block contact detection

WJWei Xiang JiangHebei University of TechnologySYShuai YangYOYe OuyangChina Three Gorges University

Key Points

  • This method reliably improves contact detection accuracy in convex block scenarios, especially in 2D settings.
  • The new vector movement approach simplifies mathematical expressions, making concepts easier to understand and apply.
  • Assessment uses geometric principles to establish contact detection rules that align with classic collision theory.
  • The method enhances computational efficiency by enabling parallel computations across independent contact edges.

Abstract

块体接触检测是非连续数值计算方法的核心任务之一. 石根华教授提出的侵入块理论能可靠地解决接触检测的准确性问题, 但复杂的数学概念限制了该理论取得更广泛的应用. 鉴于此, 基于侵入块的等价定义, 我们提出了一种新的侵入块生成方法: 矢量移动法. 二维情形下, 侵入块边界由块体B的边和角沿不同矢量平移所得的多条侵入边组成. 基于任取参考点a0均不应导致矢量移动指向块体B内的要求, 建立了生成侵入边时矢量的选取规则, 其与经典侵入块理论中接触覆盖的形成规则完全一致. 参考点a0与侵入块边界的相对位置关系可用于执行两个块体的接触检测. 相比经典侵入块理论, 矢量移动法仅涉及点集和矢量的概念, 数学表达简单易于理解. 基于组成侵入块边界的多条侵入边彼此可独立生成的优势, 以非连续变形分析方法为应用对象研究二维凸块接触检测的并行计算方法. 数值算例的结果表明, 该方法可准确获取所有的潜在接触对, 采用并行计算方式可极大的提高接触检测的计算效率.

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Cite This Study

Jiang et al. (2026) studied this question.

synapsesocial.com/papers/69a7603cc6e9836116a2cc50https://doi.org/10.1360/sst-2025-0209
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