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 aft plane which can be subdivided into mechanism types. Further, the regions in the aft 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 aft-plane of solutions which have equal deviation of their transmission angle from the ideal of90° 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. © 1988 ASME.


Mining Engineering

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Article - Journal

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© 2023 American Society of Mechanical Engineers, All rights reserved.

Publication Date

01 Jan 1988