NDLI: Two-mode combination resonances of an in-extensional rotating shaft with large amplitude

Content Provider	Springer Nature Link
Author	Khadem, S. E. Shahgholi, M. Hosseini, S. A. A.
Copyright Year	2010
Abstract	In this paper, two-mode combination resonances of a simply supported rotating shaft are investigated. The shaft is modeled as an in-extensional spinning beam with large amplitude. Rotary inertia and gyroscopic effects are included, but shear deformation is neglected. The equations of motion are derived with the aid of the Hamilton principle and then transformed to the complex form. The method of harmonic balance is applied to obtain analytical solutions. Frequency-response curves are plotted for the combination resonances of the first and the second modes. The effects of 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 external damping and eccentricity. The results are validated with numerical simulations.
Starting Page	217
Ending Page	233
Page Count	17
File Format	PDF
ISSN	0924090X
Journal	Nonlinear Dynamics
Volume Number	65
Issue Number	3
e-ISSN	1573269X
Language	English
Publisher	Springer Netherlands
Publisher Date	2010-11-11
Publisher Place	Dordrecht
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Rotating shaft Large amplitude Nonlinear vibration Two-mode combination resonances Harmonic balance method Mechanics Automotive Engineering Vibration, Dynamical Systems, Control Mechanical Engineering
Content Type	Text
Resource Type	Article
Subject	Ocean Engineering Applied Mathematics Control and Systems Engineering Mechanical Engineering Electrical and Electronic Engineering Aerospace Engineering

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