Systems With Infinitesimal Mobility: Part II—Compound and Higher-Order Infinitesimal Mechanisms

[+] Author and Article Information
E. N. Kuznetsov

Department of General Engineering, University of Illinois, Urbana, IL 61801-2996

J. Appl. Mech 58(2), 520-526 (Jun 01, 1991) (7 pages) doi:10.1115/1.2897215 History: Received September 28, 1989; Revised January 31, 1990; Online March 31, 2008


Building on the analytical results presented in Part I, the issue of multiple singularity is explored. The attained understanding is applied to the analysis and synthesis of compound infinitesimal mechanisms illustrated in several examples. Employing power expansion techniques, higher-order mechanisms are investigated, revealing, in particular, the existence of even-order mechanisms and their peculiar nature. The equivalence condition is established between prestressability and kinematic immobility of underconstrained structural systems with one singularity. A previously unidentified class of systems—unprestressable infinitesimal mechanisms—is revealed. It complements the conventional source of infinitesimally mobile systems associated with a strict constrained extremum and the resulting feature of prestressability.

Copyright © 1991 by The American Society of Mechanical Engineers
Topics: Mechanisms
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