Journal
MECHANISM AND MACHINE THEORY
Volume 45, Issue 8, Pages 1067-1081Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechmachtheory.2010.03.012
Keywords
In-extensional rotating shaft; Nonlinear vibration; Nonlinear curvature and inertia; Primary resonances; Multiple scales method; Saddle node bifurcation
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In this paper, primary resonances of a simply supported in-extensional rotating shaft with large amplitudes are studied. The method of multiple scales is applied to the discretized equations as well as to the complex form of partial differential equations of motion. The effects of diametrical mass moment of inertia, eccentricity and external damping are investigated on the steady state response of the rotating shaft. The loci of saddle node bifurcation points are plotted as functions of damping coefficient and eccentricity. (C) 2010 Elsevier Ltd. All rights reserved.
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