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剛性モデリングarXiv:1104.0769

受動関節を持つマニピュレータの剛性モデリング強化

Enhanced stiffness modeling of manipulators with passive joints

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受動関節を含む直列・並列マニピュレータの剛性解析を改善する手法を提案し、荷重が姿勢やヤコビアンに与える影響を考慮した非線形剛性モデルとその線形化手法を開発した。

著者: Anatoly Pashkevich, Alexandr Klimchik, Damien Chablat

分類: cs.RO

原文アブストラクト

The paper presents a methodology to enhance the stiffness analysis of serial and parallel manipulators with passive joints. It directly takes into account the loading influence on the manipulator configuration and, consequently, on its Jacobians and Hessians. The main contributions of this paper are the introduction of a non-linear stiffness model for the manipulators with passive joints, a relevant numerical technique for its linearization and computing of the Cartesian stiffness matrix which allows rank-deficiency. Within the developed technique, the manipulator elements are presented as pseudo-rigid bodies separated by multidimensional virtual springs and perfect passive joints. Simulation examples are presented that deal with parallel manipulators of the Ortholide family and demonstrate the ability of the developed methodology to describe non-linear behavior of the manipulator structure such as a sudden change of the elastic instability properties (buckling).

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