The paper presents the development of a sub-Jacobian based method for the identification and elimination of branch defects during synthesis in nondyadic planar multiloop mechanisms. Branching occurrences in a given mechanism can be recognized by the resulting changes in the configurations of one or more of the sets of three constraints that form the mechanism. Further, any such change in a constraint set configuration will be characterized by a corresponding change in the determinant sign of its sub-Jacobian matrix. Applying this method, branching can be eliminated during synthesis by identifying all such constraint sets for the mechanism and using the determinant signs of their sub-Jacobian matrices to maintain the mechanism’s original configuration.
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June 1992
Research Papers
Branching Determination in Nondyadic Planar Multiloop Mechanisms
S. Krishnamurty,
S. Krishnamurty
Department of Mechanical Engineering, University of Massachusetts, Amherst, MA 01003
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David A. Turcic
David A. Turcic
Department of Mechanical Engineering, University of Wisconsin-Madison, Madison, WI 53706
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S. Krishnamurty
Department of Mechanical Engineering, University of Massachusetts, Amherst, MA 01003
David A. Turcic
Department of Mechanical Engineering, University of Wisconsin-Madison, Madison, WI 53706
J. Mech. Des. Jun 1992, 114(2): 245-250 (6 pages)
Published Online: June 1, 1992
Article history
Received:
March 1, 1990
Online:
June 2, 2008
Citation
Krishnamurty, S., and Turcic, D. A. (June 1, 1992). "Branching Determination in Nondyadic Planar Multiloop Mechanisms." ASME. J. Mech. Des. June 1992; 114(2): 245–250. https://doi.org/10.1115/1.2916938
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