期刊
MECHANISM AND MACHINE THEORY
卷 44, 期 1, 页码 272-288出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.mechmachtheory.2008.01.007
关键词
Rotating shaft; Free vibrations analysis; Large amplitude vibrations; Nonlinear curvature and inertia; Multiple scales method
In this paper the free vibrations of an in-extensional simply supported rotating shaft with nonlinear curvature and inertia are considered. Rotary inertia and gyroscopic effects are included, but shear deformation is neglected. To analyze the free vibrations of the shaft, the method of multiple scales is used. This method is applied to the discretized equations, and directly to the partial differential equations of motion, which demonstrates the same results. An expression is derived which describes the nonlinear free vibrations of the rotating shaft in two transverse planes. It is found that in this case, both forward and backward nonlinear natural frequencies are being excited. The results of perturbation method are validated with numerical simulations. (C) 2008 Elsevier Ltd. All rights reserved.
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