✦ LIBER ✦

METHOD OF MULTIPLE SCALES FOR VIBRATION ANALYSIS OF ROTOR SHAFT SYSTEMS WITH NON-LINEAR BEARING PEDESTAL MODEL

✍ Scribed by Z. Ji; J.W. Zu

Publisher: Elsevier Science
Year: 1998
Tongue: English
Weight: 211 KB
Volume: 218
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1998.1835

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✦ Synopsis

The method of multiple scales is developed to analyze the free and forced vibration of non-linear rotor-bearing systems. The rotating shaft is described by the Timoshenko beam theory which considers the effect of the rotary inertia and shear deformation. A non-linear bearing pedestal model is assumed which has a non-linear spring and linear damping characteristics. Numerical simulations are carried out to illustrate the non-linear effect on the free and forced vibrations of the system. It is shown that for free vibrations, the amplitude has a one-to-one relationship with the non-linear natural frequency. For steady-state response, however, multi-valued displacements occur, indicating the existence of bifurcation points in the system.

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