A GPU homotopy path tracker and end game for mechanism synthesis

A GPU homotopy path tracker and end game for mechanism synthesis
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用于机制综合的 GPU 同伦路径跟踪器和最终游戏

DOI:
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发表时间:
2020
期刊:
International Journal of Mechanisms and Robotic Systems
影响因子:
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通讯作者:
J. McCarthy
J. McCarthy
中科院分区:
--
文献类型:
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作者:
J. Glabe;J. McCarthy

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本文提出了一种使用图形处理单元(GPU)实现机构综合方程同伦解的路径跟踪算法和最终博弈的方法。目标是让 GPU 并行执行大量路径跟踪解决方案,以确定满足一组运动学综合多项式方程的设计候选方案。有效使用 GPU 需要处理器执行相同的指令集。这对路径跟踪器和最终游戏的结构施加了限制。在本文中,我们介绍了基于 GPU 的多项式同伦求解器和最终游戏的实现。我们通过解决一组给定任务位置的五位置平面四杆综合问题来演示实现。
This paper presents an implementation of a path tracking algorithm and end game for the homotopy solution of mechanism synthesis equations using a graphical processing unit, or GPU. The goal is to have the GPU execute a large number of path tracking solutions in parallel in order to identify design candidates that satisfy a set of kinematic synthesis polynomial equations. Effective use of the GPU requires that the processors execute the same instruction set. This imposes constraints on the structure of the path tracker and the end game. In this paper, we present that our implementation of GPU-based polynomial homotopy solver and end game. We demonstrate the implementation by solving the five position planar four bar synthesis problem for a given set of task positions.
DOI: 10.1016/j.simpat.2010.11.005
发表时间: 2011-02-01
影响因子: 4.2
作者:
Dick, Christian;Georgii, Joachim;Westermann, Ruediger
通讯作者: Westermann, Ruediger