Critical Speeds of Torsional Oscillation of Geared-Shaft Systems Due to the Presence of Displacement Excitation

[+] Author and Article Information
B. Porter

Department of Mechanical Engineering, University of Newcastle-upon-Tyne, Newcastle-upon-Tyne, England

J. Appl. Mech 31(1), 25-28 (Mar 01, 1964) (4 pages) doi:10.1115/1.3629565 History: Received February 15, 1963; Online September 15, 2011


The system investigated in this paper incorporates a gear-pair which has a velocity ratio which is nominally n: 1 but which in fact varies periodically with rotation, performing p cycles of its variation per revolution of the input shaft. In this analysis, n and p are arbitrary and so the results presented here are effectively a generalization of those previously obtained for a Hooke’s joint system for which n = 1 and p = 2.

Copyright © 1964 by ASME
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