Dynamic balancing of planar mechanisms using toric geometry

Article, Preprint English OPEN
Gosselin, Clément M.; Moore, Brian; Schicho, Josef;
(2007)

In this paper, a new method to determine the complete set of dynamically balanced planar four-bar mechanims is presented. Using complex variables to model the kinematics of the mechanism, the dynamic balancing constraints are written as algebraic equations over complex ... View more
  • References (16)
    16 references, page 1 of 2

    [1] V.H. Arakelian and M.R. Smith. Complete shaking force and shaking moment balancing of linkages. Mechanisms and Machine Theory, 34:1141- 1153, 1999.

    [2] C. Bagci. Complete shaking force and shaking moment balancing of link mechanisms using balancing idler loops. Journal of Mechanical Design, 104:482-493, 1982.

    [3] R. S. Berkof and G. G. Lowen. A new method for completely force balancing simple linkage. Journal of Engineering for Industry, pages 21-26, February 1969.

    [4] R. S. Berkof and G. G. Lowen. Theory of shaking moment optimization of force-balanced four-bar linkages. Journal of Engineering for Industry, pages 53-60, February 1971.

    [5] I. Ebert-Uphoff, C.M. Gosselin, and T. Lalibert´e. Static balancing of spatial parallel platform mechanisms-revisited. Journal of Mechanical Design, 2000.

    [6] S. Gao. Absolute irreducibility of polynomials via Newton polytopes. Journal of Algebra, 2001.

    [7] S. Gao and A.G.B. Lauder. Decomposition of polytopes and polynomials. Ds, 2001.

    [8] C. M. Gosselin. Note sur l'´equilibrage de Berkov et Lowen. In Canadian Congress of Applied Mechanics(CANCAM 97), pages 497-498, 1997.

    [9] C.M. Gosselin, F. Vollmer, G. Cote, and Y. Wu. Synthesis and design of reactionless three-degree-freedom parallel mechanisms. IEEE Transactions on Robotics and Automation, 2004.

    [10] D. Lazard and F. Rouillier. Solving parametric polynomial systems. Journal of Symbolic Computation, pages 636-667, June 2007.

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