RESEARCH PAPERS: Mechanisms Papers

Five-Bar Grashof Criteria

[+] Author and Article Information
Kwun-Lon Ting

Mechanical Engineering Department, Tennessee Technological University, Cookeville, TN 38505

J. Mech., Trans., and Automation 108(4), 533-537 (Dec 01, 1986) (5 pages) doi:10.1115/1.3258765 History: Received July 01, 1986; Online November 19, 2009


In this paper, the five-bar Grashof criterion is proposed and proved. A five-bar linkage is a Class I linkage if lmax + lmin 1 + lmin 1 ≤ m + n is satisfied, otherwise it is a Class II linkage. Depending on the location of the two input links, a Class I linkage may be classified as (1) a triple-crank or a double-crank linkage if its two shortest links are either the input or fixed links; (2) a conditional double-crank or single-crank linkage if its shortest link is the fixed or an input link and the next shortest link is neither the fixed nor an input link; (3) a zero-crank linkage if none of the foregoing conditions is satisfied. A Class II linkage is neither a triple-crank nor a double-crank linkage. However, it may be a conditional double-crank, single-crank or zero-crank linkage. The proposed five-bar mobility criterion includes the four-bar Grashof criterion as a special case.

Copyright © 1986 by ASME
Topics: Linkages
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