RESEARCH PAPERS: Mechanisms Papers

Design of Quick-Returning R-S-S-R Mechanisms

[+] Author and Article Information
F. O. Suareo, K. C. Gupta

Department of Mechanical Engineering, University of Illinois at Chicago, Chicago, IL 60680

J. Mech., Trans., and Automation 110(4), 423-428 (Dec 01, 1988) (6 pages) doi:10.1115/1.3258939 History: Received July 20, 1988; Online November 19, 2009


An algebraic method is presented to synthesize quick-returning R-S-S-R mechanisms which satisfy the given time-ratio and follower oscillation angle requirements. In these designs, the three parameters, which define the follower spheric joint, satisfy a quadratic condition. When the shaft angle between the input and output shafts is zero, this quadratic condition reduces to the equation of a circle which is a familiar classical result for the planar case. The solution space for the quick-returning R-S-S-R linkage is such that, for each set of choices for crank length a 2 , follower axial distance S 4 , and initial follower angle φ0 , there are four sets of follower length a 4 , initial crank angle θ0 , crank axial distance S 2 , and coupler length a 3 . These designs are screened so that they do not have branch defect, have transmission angle values in a given range, and have reasonable link length proportions.

Copyright © 1988 by ASME
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