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剛性解析arXiv:2202.08691

平面直列ロボットマニピュレータの非線形剛性挙動

Non-linear stiffness behavior of planar serial robotic manipulators

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多リンク直列平面マニピュレータの圧縮荷重下での非線形剛性を解析し、直線初期形状での座屈臨界力の固有値計算法と非直線形状での準座屈現象のエネルギー計算法を提案した。

著者: Wanda Zhao, Alexandr Klimchik, Anatol Pashkevich, Damien Chablat

分類: cs.RO

原文アブストラクト

The paper focuses on the stiffness analysis of multi-link serial planar manipulators, which may demonstrate nonlinear stiffness behavior under the compressive loading. Two important cases are considered, where the manipulator has either a straight or non-straight initial configuration. It was proved that in the first case the loading may cause the buckling if it exceeds some critical value, and the manipulator suddenly changes its straight shape and stiffness properties. For computing this critical force, a general eigenvalue-based technique was proposed that can be applied to any multi-link serial manipulator. For the second case dealing with non-straight initial configurations, a universal energy-based technique was applied that allowed to detect quasi-buckling phenomenon when it is observed very fast but not instant change of the manipulator shape and its stiffness coefficient under the loading. These results are illustrated by numerous examples of non-linear stiffness behavior of three-and four-link manipulators that are subjected to compressive force.

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