Abstract
In this paper, a new dynamics modeling approach is proposed by using the Newton-Euler equation in screw form. The momentum screw equations of multi-rigid bodies are derived in an absolute coordinate system, which systematically demonstrates the theorem of momentum and the theorem of moment of momentum of a multi-rigid body system in the screw coordinate system. At the same time, this also provides a new approach for the study of velocity screw (twist) and force screw (wrench). The twist is utilized as a variable to associate the screw displacement with the acceleration of the rigid body. On the basis, of the dynamics equation upper limb of a humanoid robot was formed, which was solved by the numerical method. The results show that compared with the common Lagrange equation, the method proposed in this paper requires less mathematical computation and is more convenient for computer programming. In addition, unlike the common Newton-Euler method in Cartesian coordinates, the method proposed by the author has fewer algebraic volumes and fewer computational procedures.
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Acknowledgments
This work was supported in part by the Basic Research Project Group of China under Grant 514010305-301-3, in part by the National Natural Science Foundation of China under Grant 51575291, in part by the National Major Science and Technology Project of China under Grant 2015ZX04002101, in part by the State Key Laboratory of Tribology, Tsinghua University, and part by the 221 Program of Tsinghua University.
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Sun, HL., Zhao, DJ., Zhao, JS. (2023). Screw Dynamics of the Upper Limb of a Humanoid Robot. In: Yang, H., et al. Intelligent Robotics and Applications. ICIRA 2023. Lecture Notes in Computer Science(), vol 14274. Springer, Singapore. https://doi.org/10.1007/978-981-99-6501-4_48
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DOI: https://doi.org/10.1007/978-981-99-6501-4_48
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