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Journal of Applied Mathematics
Volume 2012, Article ID 279827, 21 pages
Research Article

Dynamic Analysis of a Hybrid Squeeze Film Damper Mounted Rub-Impact Rotor-Stator System

Department of Mechanical and Automation Engineering, I-Shou University, No. 1, Section 1, Hsueh-Cheng Road, Ta-Hsu District, Kaohsiung 840, Taiwan

Received 2 March 2012; Revised 8 May 2012; Accepted 8 May 2012

Academic Editor: Zhiwei Gao

Copyright © 2012 Cai-Wan Chang-Jian. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


An investigation is carried out on the systematic analysis of the dynamic behavior of the hybrid squeeze-film damper (HSFD) mounted a rotor-bearing system with strongly nonlinear oil-film force and nonlinear rub-impact force in the present study. The dynamic orbits of the system are observed using bifurcation diagrams plotted using the dimensionless rotating speed ratio as control parameters. The onset of chaotic motion is identified from the phase diagrams, power spectra, Poincaré maps, bifurcation diagrams, maximum Lyapunov exponents, and fractal dimension of the rotor-bearing system. The dynamic behaviors are unlike the usual ways into chaos ( 1 𝑇 2 𝑇 4 𝑇 8 𝑇 1 6 𝑇 3 2 𝑇 chaos or periodic quasi-periodic chaotic), it suddenly gets in chaos from the periodic motion without any transition. The results presented in this study provide some useful insights into the design and development of a rotor-bearing system for rotating machinery that operates in highly rotating speed and highly nonlinear regimes.