Bifurcation characteristic study of the transverse-torsional coupled nonlinear gear vibration with multiple-clearances
SHENG Dong-ping ZHU Ru-peng LU Feng-xia JIN Guang-hu
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Jiangsu Key Laboratory of Precision and Micro-Manufacturing Technology, Nanjing University of Aeronautics and Astronautics, Nanjing 210016
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History+
Received
Revised
Published
2013-08-15
2013-10-22
2014-10-15
Issue Date
2015-05-22
Abstract
Using the mass centralized method, a multiple clearance nonlinear gear-rotor-bearing coupled transverse-torsional vibration model is established and dimensionless equations of the system are derived, and transmission errors, time varying meshing stiffness and gear backlashes are considered in this model. By studying poincaré maps and bifurcation diagrams, the bifurcation properties of the system are obtained. The influence of some bifurcation parameters such as rotation speed, damping coefficient and gear backlashes is analyzed. Under a certain gear backlash and mesh damping and with the increasing of the rotating speed, the way of system entering into chaos is changed from crisis to period doubling bifurcation, and the system phase locked into period-four, period-two and period motion state under different mesh damping coefficient. Under a certain rotation speed and mesh damping, the motion state of the system changes from period doubling bifurcation into Naimark-sacker bifurcation. Under a certain rotation speed and mesh damping and the gear backlash, the system could enter period-five motion and phased locked into period motion rapidly, and judged from the numerical solution, bear rolling clearance has a weak interaction with system motion.
SHENG Dong-ping ZHU Ru-peng LU Feng-xia JIN Guang-hu.
Bifurcation characteristic study of the transverse-torsional coupled nonlinear gear vibration with multiple-clearances[J]. Journal of Vibration and Shock, 2014, 33(19): 116-122
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