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A MATRIX BASED MOBILITY CRITERION FOR PARALLEL PLATFORMS

机译:基于矩阵的并行平台的移动性标准

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This contribution presents a mobility criterion applicable to parallel platforms based on an analysis of the Jacobian matrices associated with the platform legs. It is important to note that this criterion is based on an analysis of the subalgebras of the Lie algebra, se(3), also known as screw algebra, of the Euclidean group, SE(3). The mathematical foundations of the method have been already presented in [1]. In this contribution it is shown that, employing a basic knowledge of linear algebra, it is possible to compute the correct mobility of a wider class of parallel manipulators, including the mobility of kinematically deficient parallel platforms and platforms with inactive pairs. Moreover, the criterion computes the passive degrees of freedom in parallel platforms. Finally, it should be emphasized that, unlike other attempts to develop a mobility criterion, the criterion developed in this contribution does not require any consideration of reciprocal screws.
机译:该贡献基于与平台腿相关联的雅各比矩阵的分析提供了一种适用于并行平台的移动性标准。重要的是要注意,该标准基于对EuclideN组,SE(3)的Lie代数,SE(3)的SE(3)的亚峰的分析。该方法的数学基础已经介绍在[1]中。在该贡献中,示出了采用线性代数的基本知识,可以计算更广泛类别的并行操纵器的正确移动性,包括运动学上缺乏平行平台和具有非活动对的平台的移动性。此外,标准计算并行平台中的被动自由度。最后,应该强调的是,与其他尝试开发移动性标准的尝试不同,在该贡献中开发的标准不需要任何考虑互易螺钉。

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