Branching Determination in Nondyadic Planar Multiloop Mechanisms

[+] Author and Article Information
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 114(2), 245-250 (Jun 01, 1992) (6 pages) doi:10.1115/1.2916938 History: Received March 01, 1990; Online June 02, 2008


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.

Copyright © 1992 by The American Society of Mechanical Engineers
Topics: Bifurcation
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