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A LOGARITHMIC COMPLEXITY DIVIDE AND CONQUER ALGORITHM FOR FLEXIBLE MULTIBODY DYNAMICS

机译:对数复杂性划分和征服灵活的多体动力学算法

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This paper presents an efficient algorithm for parallel implementation of multi-flexible-body dynamics systems simulation and analysis. The effective overall computational cost of the algorithm is logarithmic when implemented with a processor optimal O(n) processors. This algorithm formulates and solves the nonlinear equations of motion for mechanical systems with interconnected flexible bodies subject to small elastic deformation together with large rotations and translations. The large rotations or translations are modeled as rigid body degree of freedom associated with the interconnecting kinematic joint degrees of freedom. The elastic deformation of the component bodies is modeled through the use of admissible shape functions generated using standard finite element analysis software or otherwise. Apart from the approximation associated with the elastic deformations, this algorithm is exact, non-iterative and applicable to generalized multi-flexible chain and tree topologies.
机译:本文介绍了一种有效的多柔性体动力系统仿真和分析的平行实现算法。当用处理器最佳O(n)处理器实现时,算法的有效整体计算成本是对数。该算法制备并解决了具有互连柔性体的机械系统的非线性方程,其具有小的弹性变形,以及大的旋转和翻译。大的旋转或翻译被建模为与互连运动学联合自由度相关的刚体自由度。通过使用使用标准有限元分析软件或其他方式产生的可允许的形状函数来建模部件体的弹性变形。除了与弹性变形相关的近似之外,该算法精确,不迭代,适用于广义的多柔性链和树拓扑。

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