ARTICLE
Dynamic modeling and analysis of helical gear-shaft-bearing coupled system
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1
The State Key Laboratory of Mechanical Transmissions, Chongqing University, Chongqing, China
 
2
University of Texas at Arlington, Department of Mechanical and Aerospace Engineering, Texas, USA
 
 
Submission date: 2019-09-30
 
 
Final revision date: 2019-12-18
 
 
Acceptance date: 2019-12-18
 
 
Online publication date: 2020-07-15
 
 
Publication date: 2020-07-15
 
 
Journal of Theoretical and Applied Mechanics 2020;58(3):743-756
 
KEYWORDS
TOPICS
ABSTRACT
Considering bearing clearance, time-varying mesh stiffness, time-varying transmission error and shaft flexibility, a coupled gear-shaft-bearing dynamic model for a helical gear transmission is established. The influences of rotating speed, input torque load and bearing clearance on the dynamics are studied. Results show that the frequency and the magnitude of the peak response increase with the increase of load. As the bearing clearance increases, the amplitude of the dominant mesh frequency is significantly increased. Under lower speed, the clearance has a limited effect on the dynamic mesh force. However, under moderate and high speeds, the main peak response frequency of the dynamic mesh force is decreased as it increases.
REFERENCES (27)
1.
Bai C.Q., Xu Q. Y., 2006, Dynamic model of ball bearings with internal clearance and waviness, Journal of Sound and Vibration, 294, 1-2, 23-48.
 
2.
Bonori G., Pellicano F., 2007, Non-smooth dynamics of spur gears with manufacturing errors, Journal of Sound and Vibration, 306, 1-2, 271-283.
 
3.
Chen F.F., Yu P., Zhang T., 2013, Modal analysis for the powertrain of electric vehicle by finite element method, 2nd International Conference on Industrial Design and Mechanics Power, 437, 140-145.
 
4.
Chen G., 2008a, Nonlinear dynamics of unbalance-looseness coupling faults of rotor-ball bearing-stator coupling system, Chinese Journal of Mechanical Engineering, 44, 3, 82-88, DOI: 10.3901/JME.2008.03.082.
 
5.
Chen G., 2008b, Nonlinear dynamic study on a rotor-ball bearing system with unbalance-rubbing coupling fault, Journal of Vibration and Shock, 27, 4, 43-48, DOI: 10.13465/j.cnki.jvs.2008.04.016.
 
6.
Chen S.Y., Tang J.Y., Luo C.W., Wang Q.B., 2011, Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction, Mechanism and Machine Theory, 46, 4, 466-478.
 
7.
Chen X.A., Miao Y.Y., Yang W., Kang H.M., 2010, Nonlinear dynamic characteristics analysis of a gear transmission system with multiple clearances based on finite element method, Journal of Vibration and Shock, 29, 2, 46-49.
 
8.
Harsha S.P., 2005, Nonlinear dynamic analysis of an unbalanced rotor supported by roller bearing, Chaos, Solitons and Fractals, 261, 47-66.
 
9.
Harsha S.P., 2006, Nonlinear dynamic analysis of a high-speed rotor supported by rolling element bearings, Journal of Sound and Vibration, 290, 1-2, 65-100.
 
10.
Kang M.R., Kahraman A., 2015, An experimental and theoretical study of the dynamic behavior of double-helical gear sets, Journal of Sound and Vibration, 350, 11-29.
 
11.
Lee A.S., Ha J.W., Choi D.H., 2003, Coupled lateral and torsional vibration characteristics of a speed increasing geared rotor-bearing system, Journal of Sound and Vibration, 263, 4, 725-742.
 
12.
Li M., 2008, Non-linear dynamic behavior of rotor-bearing system trained by bevel gears, Proceedings of the Institution of Mechanical Engineers – Part C: Journal of Mechanical Engineering Science, 222, 4, 617-627.
 
13.
Liew H.V., Lim T.C., 2005, Analysis of time-varying rolling element bearing characteristics, Journal of Sound and Vibration, 283, 3-5, 1163-1179.
 
14.
Lim T.C., Singh R., 1990, Vibration transmission through rolling element bearings – Part I: Bearing stiffness formulation, Journal of Sound and Vibration, 139, 2, 179-199.
 
15.
Liu S.Y., Song C.S., Zhu C.C., Liang C.C., Yang X.Y., 2019, Investigation on the influence of work holding equipment errors on contact characteristics of face-hobbed hypoid gear, Mechanism and Machine Theory, 138, 95-111.
 
16.
Moradi H., Salarieh H., 2012, Analysis of nonlinear oscillations in spur gear pairs with approximated modelling of backlash nonlinearity, Mechanism and Machine Theory, 51, 14-31.
 
17.
Qin Y., Zou J.Q., Tang B.P., Wang Y., Chen H.Z., 2019, Transient feature extraction by the improved orthogonal matching pursuit an K-SVD algorithm with adaptive transient dictionary, IEEE Transactions on Industrial Informatics, DOI: 10.1109/TII.2019.2909305.
 
18.
Sheng D.P., Zhu R.P., Feng X., Jin G.H., 2014, Bifurcation characteristics of bending-torsional coupled gear nonlinear vibration with multi-clearance, Journal of Vibration and Shock, 33, 19, 116-122.
 
19.
Sopanen J., Mikkola A., 2003, Dynamic model of a deep-groove ball bearing including localized and distributed defects. Part 2: Implementation and results, Proceedings of the Institution of Mechanical Engineers – Part K: Journal of Multi-Body Dynamics, 217, 3, 213-223.
 
20.
Stringer D.B., 2008, Geared rotor dynamic methodologies for advancing prognostic in rotarywing transmission systems, Ph.D. dissertation, Virginia University, Virginia, America.
 
21.
Wang W., Liu H.J., Zhu C.C., Du X.S., Tang J.Y., 2019, Effect of the residual stress on contact fatigue of a wind turbine carburized gear with multiaxial fatigue criteria, International Journal of Mechanical Sciences, 151, 263-273.
 
22.
Wang Y.W., Yang J.Y., Guo D., Lim T.C., 2016, Vibration and sound radiation analysis of the final drive assembly considering the gear-shaft coupling dynamics, Proceedings of the Institution of Mechanical Engineers – Part C: Journal of Mechanical Engineering Science, 230, 7-8, 1258-1275.
 
23.
Xu L.X., Li Y.G., 2012, An approach for calculating the dynamic load of deep groove ball bearing joints in planar multibody systems, Nonlinear Dynamics, 70, 3, 2145-2161.
 
24.
Xu L.X., Yang Y.H., Li Y.G., Li C.N., Wang S.Y., 2012, Modeling and analysis of planar multibody systems containing deep groove ball bearing with clearance, Mechanism and Machine Theory, 56, 69-88.
 
25.
Yu P., Zhang T., Leng Y., Guo R., 2015, Vibration characteristics analysis and improvement of differential/reducer of electric vehicle, Journal of Vibration and Shock, 34, 7, 85-92, DOI: 10.13465/j.cnki.jvs.2015.07.014.
 
26.
Zhang A.Q., Wei J., Shi L., Qin D.T., Lim T.C., 2019, Modeling and dynamic response of parallel shaft gear transmission in non-inertial system, Nonlinear Dynamics, 98, 2, 997-1017.
 
27.
Zhou J.X., Liu G.,Wu L.Y., 2013, Effect of operating conditions on vibration and noise radiation of a gear reducer, Journal of Vibration and Shock, 32, 8, 193-198.
 
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