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首页> 外文期刊>Journal of Computing and Information Science in Engineering >An Algorithm for the Fast Simulation of Multicomponent Object Deformation
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An Algorithm for the Fast Simulation of Multicomponent Object Deformation

机译：多分量物体变形的快速仿真算法

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摘要

In this paper, a fast algorithm for the simulation of deformable objects composed of multiple components made of different materials is introduced. By using the boundary element method and considering individual components and their interfaces separately, a relationship between the unknown and known displacements is established. Based on this expression, a component-based condensation method can be applied. This reduces the size of the matrix to be inverted to depend only on the number of unknown displacements of the components with changing boundary condition. To speed up the construction of the required matrices, a maximal matrix method is proposed. By categorizing the changes in boundary conditions, three fast update strategies on matrix inverse are introduced. Based on the maximal matrix method and the matrix inverse update strategy, we define eight easily formed characteristic matrices, which enhance the computation speed further. The efficiency of the proposed method is demonstrated by a set of experimental results.
机译：本文介绍了一种用于模拟由不同材料制成的多个组件组成的可变形物体的快速算法。通过使用边界元方法并分别考虑各个部件及其界面，可以确定未知位移与已知位移之间的关系。基于该表达式，可以应用基于组分的冷凝方法。这减小了要求逆的矩阵的大小，使其仅取决于边界条件不断变化的组件的未知位移数。为了加快所需矩阵的构建，提出了一种最大矩阵方法。通过对边界条件的变化进行分类，介绍了三种关于矩阵逆的快速更新策略。基于最大矩阵法和矩阵逆更新策略，定义了八个易于形成的特征矩阵，进一步提高了计算速度。一组实验结果证明了该方法的有效性。

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