EFFECT OF SHAFT MISALIGNMENT ON HYPOID GEAR PAIR DRIVEN THROUGH A UNIVERSAL JOINT

다국어 초록 (Multilingual Abstract)

An enhanced hypoid geared rotor system model incorporating a universal joint that connects driveline propeller shaft and pinion shaft is introduced in this study. The effect of shaft misalignment and pinion mass unbalance on hypoid gear dynamic response is evaluated under different assembly conditions. A nonlinear 14-DOF lumped parameter model based on coupled multi-body dynamics is applied by considering large rotational displacement in torsional direction. Results demonstrate three main influences from shaft misalignment and mass unbalance including speed and torque fluctuation as well as external bending moment on pinion shaft. It is also observed that bending moment generated can exert additional load on pinion shaft bearings which is found to be more sensitive to misalignment angle compared to dynamic response along lineof- action. Besides, shaft misalignment and mass unbalance excitation will interact with gear internal excitation from transmission error (TE) which can affect mesh parameters.

참고문헌 (Reference)

1 Lim, T. C., "Vibration transmission through rolling element bearing, Part III: Geared system studies" 151 (151): 31-54, 1991

2 Lim, T. C., "Vibration transmission through rolling element bearing, Part II: System studies" 139 (139): 201-225, 1990

3 Lim, T. C., "Vibration transmission through rolling element bearing, Part I: Bearing stiffness formulation" 139 (139): 179-199, 1990

4 Wang, N., "Vibration response characteristics of a dual-rotor with unbalancemisalignment coupling faults : Theoretical analysis and experimental study" 125 : 207-219, 2018

5 Xu, M., "Vibration analysis of a motor-flexible coupling-rotor system subject to misalignment and unbalance, Part II: Experimental validation" 176 (176): 681-691, 1994

6 Xu, M., "Vibration analysis of a motor-flexible coupling-rotor system subject to misalignment and unbalance, Part I: Theoretical model and analysis" 176 (176): 663-679, 1994

7 Shi, Z., "Time-varying torque load dependent hypoid gear mesh and dynamic analysis" 2017

8 Zhao, W., "Theoretical and Experimental study on the dynamic response of multi-disk rotor system with flexible coupling misalignment" 226 (226): 2874-2886, 2012

9 Wang, J., "Nonlinear Time-varying Gear Mesh and Dynamic Analysis of Hypoid and Bevel Geared Rotor System" University of Cincinnati 2007

10 Yang, J., "Nonlinear Dynamics of Driveline Systems with Hypoid Gear Pair" University of Cincinnati 2012

11 Ota, H., "Lateral vibration of a rotating shaft driven by a universal joint, 2nd report : Analysis and experiments on even multiple vibrations by secondary moment" 28 (28): 1749-1755, 1985

12 Ota, H., "Lateral vibration of a rotating shaft driven by a universal joint, 1st report : Generation of even multiple vibrations by secondary moment" 27 (27): 2002-2007, 1985

13 Vijayakar, S. M., "Hypoid Face Milled User’s Manual" Advanced Numerical Solutions LLC 2003

14 Wang, H., "Gear Mesh Characteristics Dynamics of Hypoid Geared Rotor System" University of Alabama 2002

15 Lu, X., "Effects of misalignment on the nonlinear dynamics of a two-shaft rotor-bearing-gear coupling system with rub-impact fault" 19 (19): 5960-5977, 2017

16 Cheng, Y., "Dynamics of hypoid gears transmission with time-varying mesh" 2000

17 Genta, G., "Dynamics of Rotating Systems" Springer 2005

18 Mazzei Jr, A. J., "Dynamic stability of a rotating shaft driven through a universal joint" 222 (222): 19-47, 1999

19 Wang, H., "Dynamic analysis of coupling misalignment and unbalance coupled faults" 38 (38): 363-376, 2019

20 Sudhakar, G. N. D. S., "Coupling misalignment in rotating machines: Modelling, effects and monitoring" 40 (40): 17-39, 2009

21 Desmidt, H. A., "Coupled torsion-lateral stability of a shaft-disk system driven through a universal joint" 69 (69): 261-273, 2002

22 Peng, T., "Coupled Multi-body Dynamic and Vibration Analysis of Hypoid and Bevel Geared Rotor System" University of Cincinnati 2010

23 Blankenship, G. W., "Analytical solution for modulation sidebands associate with a class of mechanical oscillations" 179 (179): 13-36, 1995

24 Vijayakar, S. M., "A combined surface integral and finite element solution for a three-dimensional contract problem" 31 (31): 525-545, 1991