Coupled lateral-torsional-axial vibrations of a helical gear-rotor-bearing system

• Published in: Acta mechanica Sinica Vol. 30; no. 5; pp. 746 - 761
• Main Authors: Li, Chao-Feng, Zhou, Shi-Hua, Liu, Jie, Wen, Bang-Chun
• Format: Journal Article
• Language: English
• Published: Heidelberg The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences 01.10.2014
• Subjects: Bearing; Classical and Continuum Physics; Computational Intelligence; Contact; Contact angle; Dynamical systems; Engineering; Engineering Fluid Dynamics; Helical; Mathematical models; Nonlinear dynamics; Research Paper; Theoretical and Applied Mechanics; Vibration; 动力学行为; 耦合效应; 螺旋齿轮; 角接触球轴承; 转子轴承系统; 转轴; 轴向振动; 非线性动态模型; Nonlinear dynamics; Coupled lateral-torsional-axial vibration; Meshing frequency; Helical gear-rotor-bearing system
• ISSN: 0567-7718; 1614-3116
• DOI: 10.1007/s10409-014-0063-4

Considering the axial and radial loads, a math- ematical model of angular contact ball bearing is deduced with Hertz contact theory. With the coupling effects of lateral, torsional and axial vibrations taken into account, a lumped-parameter nonlinear dynamic model of helical gearrotor-bearing system （HGRBS） is established to obtain the transmission system dynamic response to the changes of dif- ferent parameters. The vibration differential equations of the drive system are derived through the Lagrange equation, which considers the kinetic and potential energies, the dis- sipative function and the internal/external excitation. Based on the Runge-Kutta numerical method, the dynamics of the HGRBS is investigated, which describes vibration properties of HGRBS more comprehensively. The results show that the vibration amplitudes have obvious fluctuation, and the frequency multiplication and random frequency components become increasingly obvious with changing rotational speed and eccentricity at gear and bearing positions. Axial vibration of the HGRBS also has some fluctuations. The bearing has self-variable stiffness frequency, which should be avoided in engineering design. In addition, the bearing clearance needs little attention due to its slightly discernible effect on vibration response. It is suggested that a careful examination should be made in modelling the nonlinear dynamic behavior of a helical gear-rotor-bearing system.