Stability and Steady-State Vibrations in a High-Speed Slider-Crank Mechanism

[+] Author and Article Information
P. W. Jasinski

Rensselaer Polytechnic Institute, Troy, N. Y.

H. C. Lee

IBM Corporation, Endicott, N. Y.

G. N. Sandor

Division of Machines and Structures, Rensselaer Polytechnic Institute, Troy, New York

J. Appl. Mech 37(4), 1069-1076 (Dec 01, 1970) (8 pages) doi:10.1115/1.3408660 History: Received September 09, 1969; Revised May 25, 1970; Online July 12, 2010


The research presented in this paper is an analytical study of the vibrations associated with planar mechanical linkages. Specifically, the vibrations of a high-speed slider-crank mechanism with a uniform elastic connecting rod and a rigid crank are studied. The elastic connecting rod, with distributed mass, is taken to be externally, viscously damped with a concentrated mass present at its sliding end. The equations governing the longitudinal and transverse vibrations of the elastic connecting rod are derived, a small parameter is found, and the solution is developed as an asymptotic expansion in terms of this small parameter with the aid of the Krylov-Bogoliubov method of averaging. The elastic stability is studied and the steady-state solutions for both the longitudinal and transverse vibrations of the connecting rod are obtained.

Copyright © 1970 by ASME
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