Abstract
This paper shows three different approaches for the shaking force balancing of the Peaucellier-Lipkin straight-line linkage. First the common approach to balance a linkage by modeling one link in each closed loop with two equivalent masses and subsequently adding countermasses is shown, requiring five countermasses in total. With the second approach the parallelogram in the Peaucellier-Lipkin straight-line linkage is considered a balanced pantograph with which three countermasses are required in total. The third approach consists of considering the parallelogram a mass-equivalent linkage for which the results only require two countermasses. It is also shown how with the second approach shaking force balance in a single direction is obtained by balancing the linkage about the joint tracing the straight line with only two counter-masses. All solutions are also statically balanced.
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References
Artobolevskii, I.I.: Mechanisms for the Generation of Plane Curves. Pergamon Press (1964)
Dijksman, E.A.: Motion Geometry of Mechanisms. Cambridge University Press (1979)
Van der Wijk, V.: Methodology for analysis and synthesis of inherently force and moment-balanced mechanisms - theory and applications (dissertation). University of Twente (2014). (free download: https://doi.org/10.3990/1.9789036536301)
Van der Wijk, V.: Force balance conditions of complex parallel mechanisms with mass equivalent modeling. In: Husty, M., Hofbaur, M. (eds.) New Trends in Medical and Service Robots: MMS 48, pp. 275–287. Springer International Publishing, Cham (2016)
Van der Wijk, V.: Mass equivalent pantographs for synthesis of balanced focal mechanisms. In: Lenarc̆ic̆, J., Merlet, J.-P. (eds.) Advances in Robot Kinematics 2016, vol. 4, pp. 1–10. Springer International Publishing, Cham (2018)
Van der Wijk, V., Herder, J.L.: On the addition of degrees of freedom to force-balanced linkages. In: Proceedings of the 19th CISM-IFToMM Symposium on Robot Design, Dynamics, and Control, pp. 2012–025 (2012)
Van der Wijk, V., Krut, S., Pierrot, F., Herder, J.L.: Design and experimental evaluation of a dynamically balanced redundant planar 4-RRR parallel manipulator. Int. J. Robot. Res. 32(6), 744–759 (2013)
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This publication was financially supported by the Netherlands Organization for Scientific Research (NWO, 15146)
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van der Wijk, V. (2019). Shaking Force Balance of the Peaucellier-Lipkin Straight-Line Linkage. In: Kecskeméthy, A., Geu Flores, F., Carrera, E., Elias, D. (eds) Interdisciplinary Applications of Kinematics. Mechanisms and Machine Science, vol 71. Springer, Cham. https://doi.org/10.1007/978-3-030-16423-2_16
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DOI: https://doi.org/10.1007/978-3-030-16423-2_16
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