Abstract
Based on the Reynolds equation with Reynolds boundary conditions, the Castelli method was employed to solve the Reynolds equation for oil lubrication upon bearings. By doing so, a profile of nonlinear oil film force of single-pad journal bearings is established. According to the structure of combination journal bearings, nonlinear oil film force of combination journal bearing is obtained by retrieval, interpolation and assembly techniques. As for symmetrical flexible Jeffcott rotor systems supported by combination journal bearings, the nonlinear motions of the center of the rotor are calculated by the self-adaptive Runge-Kutta method and Poincaré mapping with different rotational speeds. The numerical results show that the system performance is slightly better when the pivot ratio changes from 0.5 to 0.6, and reveals nonlinear phenomena of periodic, period-doubing, quasi-periodic motion, etc.
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Foundation item: Project(2007CB707706) supported by the National Basic Research Program of China; Projects(51075327, 10972179) supported by the National Natural Science Foundation of China; Project(SKLMT-KFKT-201011) supported by Open Foundation of State Key Laboratory of Mechanical Transmission, China; Projects(2009JQ7006, 2007E203) supported by the Natural Science Foundation of Shaanxi Province of China; Projects(09JK680, 07JK340) supported by the Natural Science Foundation of Department of Education of Shaanxi Province of China
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Lü, Yj., Zhang, Yf., Yu, Yb. et al. Nonlinear dynamics of flexible rotor system supported on fixed-tilting pad combination journal bearing. J. Cent. South Univ. Technol. 18, 610–617 (2011). https://doi.org/10.1007/s11771-011-0738-y
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DOI: https://doi.org/10.1007/s11771-011-0738-y