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An Overconstrained Vertical Darboux Mechanism

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Advances in Mechanism and Machine Science (IFToMM WC 2023)

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 147))

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Abstract

In this article, we will construct an overconstrained closed-loop linkage consisting of four revolute and one cylindrical joint. It is obtained by factorization of a prescribed vertical Darboux motion. We will investigate the kinematic behaviour of the obtained mechanism, which turns out to have multiple operation modes. Under certain conditions on the design parameters, two of the operation modes will correspond to vertical Darboux motions. It turns out, that for these design parameters, there also exists a second assembly mode.

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Acknowledgement

Johannes Siegele was supported by the Austrian Science Fund (FWF): P 33397 (Rotor Polynomials: Algebra and Geometry of Conformal Motions).

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Correspondence to Johannes Siegele .

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Siegele, J., Pfurner, M. (2023). An Overconstrained Vertical Darboux Mechanism. In: Okada, M. (eds) Advances in Mechanism and Machine Science. IFToMM WC 2023. Mechanisms and Machine Science, vol 147. Springer, Cham. https://doi.org/10.1007/978-3-031-45705-0_51

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