Abstract
In this paper it is shown how a general 2-DoF dyad can be designed mass equivalent to a general (1-DoF) link element. This is useful in the synthesis of balanced mechanisms, for instance to increase or reduce the number of DoFs of a balanced mechanism maintaining its balance. Also it can be used as a simple approach for synthesis of complex balanced mechanisms. For finding the parameters for mass equivalence, a mass equivalent model with real and virtual equivalent masses is used. First the characteristics of this model are explained, then the properties of a mass equivalent dyad are shown. Subsequently with two methods the parameters of a mass equivalent dyad are derived and application examples are illustrated and discussed.
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Chaudhary, H., Saha, S.K.: Balancing of shaking forces and shaking moments for planar mechanisms using the equimomental systems. Mech. Mach. Theory 43, 310–334 (2008)
Van der Wijk, V.: Methodology for analysis and synthesis of inherently force and moment-balanced mechanisms - theory and applications (dissertation). University of Twente (free download: http://dx.doi.org/10.3990/1.9789036536301) (2014)
Van der Wijk, V.: Closed-chain principal vector linkages. In: Flores, P., Viadero, F. (eds.), New Trends in Mechanism and Machine Science, vol. 24, pp. 829–837. Springer, London (2015)
Van der Wijk, V., Herder, J.L.: On the addition of degrees of freedom to force-balanced linkages. Proceedings of the 19th CISM-IFToMM Symposium on Robot Design, Dynamics, and Control, pp. 2012–025 (2012)
Wittenburg, J.: Dynamics of Systems of Rigid Bodies. B.G. Teubner Stuttgart (1977)
Wu, Y., Gosselin, C.M.: On the dynamic balancing of multi-dof parallel mechanisms with multiple legs. Mech. Des. 129, 234–238 (2007)
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© 2015 Springer International Publishing Switzerland
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van der Wijk, V. (2015). Mass Equivalent Dyads. In: Bai, S., Ceccarelli, M. (eds) Recent Advances in Mechanism Design for Robotics. Mechanisms and Machine Science, vol 33. Springer, Cham. https://doi.org/10.1007/978-3-319-18126-4_4
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DOI: https://doi.org/10.1007/978-3-319-18126-4_4
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Publisher Name: Springer, Cham
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Online ISBN: 978-3-319-18126-4
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