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Subcritical Large-Amplitude Vibrations of Imperfect Rotating Shafts

[+] Author and Article Information
C. E. N. Mazzilli

Department of Structures and Foundation Engineering, Escola Politécnica, Universidade de São Paulo, CP 61548, 01000 Brazil

Appl. Mech. Rev 42(11S), S157-S160 (Nov 01, 1989) doi:10.1115/1.3152386 History: Online June 03, 2009

Abstract

The effect of a geometrical imperfection, such as the axis flexural deformation, on the large-amplitude vibrations of a horizontal rotating shaft is analyzed with the aid of the Multiple Scales Method. Internal viscous damping and linear elasticity are assumed in the model. It is then seen that no matter how small the imperfection is, a “critical” speed of the order of half the classical critical speed arises, with relevant practical implications. A number of reported large-amplitude cases may eventually be explained this way. It is possible that events such as this will not appear in systems with high dry friction.

Copyright © 1989 by The American Society of Mechanical Engineers
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