RESEARCH PAPERS: Mechanisms Papers

Three-Position Function Generation of Planar Four-Bar Mechanisms With Equal Deviation Transmission Angle Control

[+] Author and Article Information
C. R. Barker, Gwo-Huey Shu

Mechanical and Aerospace Engineering, University of Missouri-Rolla, Rolla, MO 65401

J. Mech., Trans., and Automation 110(4), 435-439 (Dec 01, 1988) (5 pages) doi:10.1115/1.3258941 History: Received July 28, 1988; Online November 19, 2009


This paper is an extension of earlier work on mapping of three-position function generation of planar four-bar mechanisms. Previously, it has been shown that all of the potential solutions to a given problem may be represented in an αβ-plane which can be subdivided into mechanism types. Further, the regions in the αβ-plane may represent two possible forms of assembly plus a change of form class which are not valid solutions. In this paper, we provide a third-order polynomial which defines the locus in the αβ-plane of solutions which have equal deviation of their transmission angle from the ideal of 90° throughout the entire range of motion. When these solutions are mapped into a Cartesian plane, the ground pivot locations produce curves similar to the familiar Burmester curves for four-position synthesis problems. Additional advantages of the approach are that the input link is automatically a crank, the desired link length ratio can be controlled, and the solutions are free of defects.

Copyright © 1988 by ASME
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