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A Pure-Inertia Method for Dynamic Balancing of Symmetric Planar Mechanisms

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Part of the book series: Springer Proceedings in Advanced Robotics ((SPAR,volume 8))

Abstract

In this paper, we present a novel method for the dynamic balance of planar mechanisms, by transforming a mechanism into a dynamically equivalent form where all links have zero mass but non-zero moment of inertia. The dynamic balance of such pure-inertia systems is shown to be governed by mirror symmetry that cancels out the system’s total angular momentum. Our method not only covers well-known dynamically balanced 1-DOF mechanisms, such as the slider-crank and four-bar linkages, but also leads to the discovery of a novel dynamically balanced 2-DOF planar mechanism.

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Correspondence to Jan J. de Jong .

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de Jong, J.J., Wu, Y., Carricato, M., Herder, J.L. (2019). A Pure-Inertia Method for Dynamic Balancing of Symmetric Planar Mechanisms. In: Lenarcic, J., Parenti-Castelli, V. (eds) Advances in Robot Kinematics 2018. ARK 2018. Springer Proceedings in Advanced Robotics, vol 8. Springer, Cham. https://doi.org/10.1007/978-3-319-93188-3_32

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