Abstract
This paper studies the nonlinear dynamic behavior and bifurcation of a rigid rotor supported by two relatively short spherical gas journal bearings. The modified Reynolds equation is solved by a hybrid numerical method combining the differential transformation method (DTM) and the finite difference method (FDM). The analytical results reveal a complex dynamic behavior comprising periodic, subharmonic and quasi-periodic responses as the rotor mass and bearing number are increased. The results obtained using the hybrid DTM&FDM scheme are found to be in good agreement with those of a hybrid scheme comprising the successive over relaxation (SOR) method and the FDM scheme. Therefore, the DTM&FDM method provides an effective means of gaining insights into the nonlinear dynamics of relatively short spherical gas rotor-bearing systems.
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This paper was recommended for publication in revised form by Associate Editor Eung-Soo Shin
Cheng-Chi Wang received B.S., M.A., and Ph. D. degrees in Mechanical Engineering from National Cheng Kung University, Taiwan in 1996, 1998 and 2001, respectively. Research interests include: nano-micro mechanics, nonlinear dynamic analysis, nonlinear control and numerical simulation. From the year 2003 to 2006, he served as the assistant professor of Dept. of Automation and Control Engineering of Far East University, and from the year 2006 to 2009, he was the associate professor of Dept. of Mechanical Engineering of FEU. Now, he is the professor of Dept. of Mechanical Engineering of FEU.
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Wang, CC., Kuo, CL. Nonlinear dynamic analysis of a relatively short spherical gas journal bearing system. J Mech Sci Technol 24, 1565–1571 (2010). https://doi.org/10.1007/s12206-010-0505-2
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DOI: https://doi.org/10.1007/s12206-010-0505-2