Order Rectification for Complex Number Based Burmester Curves

[+] Author and Article Information
T. R. Chase

Productivity Center, Mechanical Engineering Department, University of Minnesota, Minneapolis, MN 55455

W. E. Fang

General Motors Systems Engineering, Troy, MI 48084

J. Mech. Des 113(3), 239-247 (Sep 01, 1991) (9 pages) doi:10.1115/1.2912775 History: Received March 01, 1988; Online June 02, 2008


A new solution to the order rectification problem for a driving dyad of planar mechanisms is presented. The method identifies sections of both Burmester curves where the driving link rotates in a single direction when passing through four precision positions in sequence. The new solution describes desirable regions of the curves in terms of the complex number parameters used to generate the curves, providing a complex number equivalent to available pole based order rectification procedures. The new solution is stated in a summary form that is readily codifiable. An example is presented. The theory underlying the new solution is then developed in detail.

Copyright © 1991 by The American Society of Mechanical Engineers
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