RESEARCH PAPERS: Mechanism Papers

Simultaneous Optimization of Dynamic Reactions of a Four-Bar Linkage With Prescribed Maximum Shaking Force

[+] Author and Article Information
S. J. Tricamo

Department of Mechanical Engineering, Stevens Institute of Technology, Hoboken, N.J. 07030

G. G. Lowen

Department of Mechanical Engineering, The City College of the City University of New York, New York, N.Y. 10031

J. Mech., Trans., and Automation 105(3), 520-525 (Sep 01, 1983) (6 pages) doi:10.1115/1.3267390 History: Received March 11, 1982; Online November 19, 2009


A three-counterweight technique for simultaneously minimizing the maximum values of such dynamic reactions as the bearing force, the input moment, and the shaking moment of a constant input speed four-bar linkage, while additionally obtaining a prescribed maximum value of the shaking force, is introduced. The chosen optimization formulation is new to the field of mechanism design; a certain minimization parameter is made the objective function. The maximum values of the individual dynamic reactions are then minimized by inequality constraints which force the differences between these reactions (due to the presence of counterweights) and the maximum value of the same reactions in the unbalanced mechanism to be smaller than the minimization parameter at as many mechanism positions as required. The prescribed maximum shaking force is attained by an equality constraint which has been called the general equipollent circle constraint equation. The method, which employs an augmented Lagrangian penalty function code, produced good results in the optimization of the dynamic reactions of partially and fully force balanced example mechanisms.

Copyright © 1983 by ASME
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