Skip to main content
SpringerLink
Log in

Nonlinear dynamic analysis of coupled gear-rotor-bearing system with the effect of internal and external excitations

  • Dynamics, Fluid Machinery, and Microfluidic
  • Published:
Chinese Journal of Mechanical Engineering Submit manuscript

Abstract

Extensive studies on nonlinear dynamics of gear systems with internal excitation or external excitation respectively have been carried out. However, the nonlinear characteristics of gear systems under combined internal and external excitations are scarcely investigated. An eight-degree-of-freedom(8-DOF) nonlinear spur gear-rotor-bearing model, which contains backlash, transmission error, eccentricity, gravity and input/output torque, is established, and the coupled lateral-torsional vibration characteristics are studied. Based on the equations of motion, the coupled spur gear-rotor-bearing system(SGRBS) is investigated using the Runge-Kutta numerical method, and the effects of rotational speed, error fluctuation and load fluctuation on the dynamic responses are explored. The results show that a diverse range of nonlinear dynamic characteristics such as periodic motion, quasi-periodic motion, chaotic behaviors and impacts exhibited in the system are strongly attributed to the interaction between internal and external excitations. Significantly, the changing rotational speed could effectively control the vibration of the system. Vibration level increases with the increasing error fluctuation. Whereas the load fluctuation has an influence on the nonlinear dynamic characteristics and the increasing excitation force amplitude makes the vibration amplitude increase, the chaotic motion may be restricted. The proposed model and numerical results can be used for diagnosis of faults and vibration control of practical SGRBS.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. KAHRAMAN A, SINGH R. Nonlinear dynamic of a spur gear pair[J]. Journal of Sound and Vibration, 1990, 142(1): 49–75.

    Article  Google Scholar 

  2. KAHRAMAN A, SINGH R. Interactions between time-varying mesh stiffness and clearance nonlinear in a geared system[J]. Journal of Sound and Vibration, 1991, 146(1): 135–156.

    Article  Google Scholar 

  3. LI Yinggang, CHEN Tianning, WANG Xiaopeng. Non-linear dynamics of gear pair with dynamic backlash subjected to combined internal and external periodic excitations[J]. Journal of Vibration and Control, 2014, 8(1): 1–11.

    Article  Google Scholar 

  4. BARBIERI M, BONORI G, PELLICANO F. Corrigendum to: Optimum profile modifications of spur gears by means of genetic algorithms[J]. Journal of Sound and Vibration, 2012, 331(21): 4825–4829.

    Article  Google Scholar 

  5. BONORI G, PELLICANO F. Non-smooth dynamics of spur gears with manufacturing errors[J]. Journal of Sound and Vibration, 2007, 306(1–2): 271–283.

    Article  Google Scholar 

  6. CHEN Siyu, TANG Jinyuan, LUO Caiwang, et al. Nonlinear dynamic characteristics of geared rotor bearing systems with dynamic backlash and friction[J]. Mechanism and Machine Theory, 2011, 46(4): 466–478.

    Article  MATH  Google Scholar 

  7. ZHOU Shihua, LIU Jie, LI Chaofeng, et al. Nonlinear behavior of a spur gear pair transmission system with backlash[J]. Journal of Vibroengineering, 2014, 16(8): 3850–3861.

    MathSciNet  Google Scholar 

  8. WEI Sha, ZHAO Jingshan, HAN Qinkai, et al. Dynamic response analysis on torsional vibrations of wind turbine geared transmission system with uncertainty[J]. Renewable Energy, 2015, 78: 60–67.

    Article  Google Scholar 

  9. ZHU Weilin, WU Shijing, WANG Xiaosun, et al. Harmonic balance method implementation of nonlinear dynamic characteristics for compound planetary gear sets[J]. Nonlinear Dynamics, 2015, 81(3): 1511–1522.

    Article  Google Scholar 

  10. WAN Cai, CHANG Jian. Bifurcation and chaos of gear-rotorbearing system lubricated with couple-stress fluid[J]. Nonlinear Dynamics, 2015, 79(1): 749–763.

    Article  Google Scholar 

  11. MA Hui, PANG Xu, SONG Rongze, et al. Vibration response analysis of a geared rotor system considering the tip relief[J]. Journal of Mechanical Engineering, 2014, 50(7): 39–45. (in Chinese)

    Article  Google Scholar 

  12. MA Hui, YANG Jian, SONG Rongze. Effects of tip relief on vibration responses of a geared rotor system[J]. Proceedings of the Institution of Mechanical Engineers, part C: Journal of Mechanical Engineering Science, 2014, 228(17): 1132–1154.

    Google Scholar 

  13. FAGGIONI M, SAMANI F S, BERTACCHI G, et al. Dynamic optimization of spur gears[J]. Mechanism and Machine Theory, 2011, 46(4): 544–557.

    Article  MATH  Google Scholar 

  14. LEE A S, HA J W, CHOI D H. Coupled lateral and torsional vibration characteristics of a speed increasing geared rotor-bearing system[J]. Journal of Sound and Vibration, 2003, 263(4): 725–742.

    Article  Google Scholar 

  15. YASSINE D, AHMED H, LASSAAD W, et al. Effects of gear mesh fluctuation and defaults on the dynamic behavior of two-stage straight bevel system[J]. Mechanism and Machine Theory, 2014, 82: 71–86.

    Article  Google Scholar 

  16. HUANG Kuotao, WU Maorong, TSENG J T. Dynamic analyses of gear pairs incorporating the effect of time-varying lubrication damping[J]. Journal of Vibration and Control, 2011, 17(3): 355–363.

    Article  MATH  Google Scholar 

  17. STRINGER D B, SHETH P N, ALLAIRE P E. Modal reduction of geared rotor systems with general damping and gyroscopic effects[J]. Journal of Vibration and Control, 2011, 17(7): 975–987.

    Article  MATH  Google Scholar 

  18. HE S, CHO S M, SINGH R. Prediction of dynamic friction forces in spur gears using alternate sliding friction formulations[J]. Journal of Sound and Vibration, 2008, 309(3–5): 843–851.

    Article  Google Scholar 

  19. PAREY A, BADAOUI M E, GUILLET F, et al. Dynamic modelling of spur gear pair and application of empirical mode decomposition-based statistical analysis for early detection of localized tooth defect[J]. Journal of Sound and Vibration, 2006, 294(3): 547–561.

    Article  Google Scholar 

  20. OMAR F K, MOUSTAFA K A F, EMAM S. Mathematical modeling of gearbox including defects with experimental verification[J]. Journal of Vibration and Control, 2012, 18(9): 1310–1321.

    Article  Google Scholar 

  21. HOTAIT M A, KAHRAMAN A. Experiments on the relationship between the dynamic transmission error and the dynamic stress factor of spur gear pairs[J]. Mechanism and Machine Theory, 2013, 70: 116–128.

    Article  Google Scholar 

  22. TAMMINANA V K, KAHRAMAN A, VIJAYAKAR S. A study of the relationship between the dynamic factors and the dynamic transmission error of spur gear pairs[J]. Journal of Mechanical Design, 2007, 129(1): 75–84.

    Article  Google Scholar 

  23. AMARNATH M, CHANDRAMOHAN S, SEETHARAMAN S. Experimental investigations of surface e wear assessment of spur gear teeth[J]. Journal of Vibration and Control, 2012, 18(12): 1009–1024.

    Article  Google Scholar 

  24. LEE S K, AMARNATH M. Experimental investigations to establish correlation between stribeck curve, specific film thickness and statistical parameters of vibration and sound signals in a spur gear system[J]. Journal of Vibration and Control, 2014, 14(1): 1–15.

    Article  MathSciNet  Google Scholar 

  25. WANG Cheng, CUI Yahui, ZHANG Qingping, et al. Modified optimization and experimental investigation of transmission error, vibration and noise for double helical gears[J]. Journal of Vibration and Control, 2014, 20(1): 1–13.

    Article  Google Scholar 

  26. RAFIQ M, CAN U, DOGRUER H, et al. Nonlinear dynamic modeling of gear-shaft-disk-bearing systems using finite elements and describing functions[J]. Journal of Mechanical Design, 2004, 126(3): 534–541.

    Article  Google Scholar 

  27. MA Hui, PANG Xu, ZENG Jin, et al. Effects of gear crack propagation paths on vibration responses of the perforated gear system[J]. Mechanical Systems and Signal Processing, 2015, 62-63: 113–128.

    Article  Google Scholar 

  28. MA Hui, ZENG Jin, FENG Ranjiao, et al. Review on dynamics of cracked gear systems[J]. Engineering Failure Analysis, 2015, 55: 224–245.

    Article  Google Scholar 

  29. MOHMMED O D, RANTATALO M, AIDANPAA J O. Dynamic modelling of a one-stage spur gear system and vibration-based tooth crack detection analysis[J]. Mechanical Systems and Signal Processing, 2015, 55: 293–305.

    Article  Google Scholar 

  30. HU Zehua, TANG Jinyuan, CHEN Siyu et al. Coupled translation-rotation vibration and dynamic analysis of face geared rotor system[J]. Journal of Sound and Vibration, 2015, 351: 282–298.

    Article  Google Scholar 

  31. ZHOU Changjiang, CHEN Siyu. Modeling and calculation of impact friction caused by corner contact in gear transmission[J]. Chinese Journal of Mechanical Engineering, 2014, 27(5): 958–964.

    Article  Google Scholar 

  32. CUI Yahui, LIU Zhansheng, YE Jianhuai. Dynamic response of geared rotor system and the effect of clearance on jump characteristics of amplitude[J]. Journal of Mechanical Engineering, 2009, 45(7): 7–15. (in Chinese)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819, China

    Shihua Zhou, Guiqiu Song, Zhaohui Ren & Bangchun Wen

Authors
  1. Shihua Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Guiqiu Song
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Zhaohui Ren
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Bangchun Wen
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Guiqiu Song.

Additional information

Supported by National Natural Science Foundation of China(Grant No. 51475084)

Biographical notes

ZHOU Shihua, born in 1987, is a PhD candidate at School of Mechanical Engineering and Automation, Northeastern University, China. His research interest is the dynamic characteristics of gear-rotor system and vehicle dynamics.

SONG Guiqiu, born in 1960, is currently a professor at Northeastern University, China. He received his PhD degree from Northeastern University, China. His research interests include vehicle dynamics, fault diagnosis and machinery engineering theories.

REN Zhaohui, born in 1968, is currently a professor at Northeastern University, China. He received his PhD degree from Northeastern University, China, in 2005. His research interests include rotor dynamics, fault diagnosis and product integrated design method

WEN Bangchun, born in 1930, is currently a professor at School of Mechanical Engineering and Automation, Northeastern University, China. His main research interests include vibration utilization engineering, rotor dynamics, nonlinear vibration and applications of mechanical engineering, vibration diagnostics of the machine fault, mechanical-electronic integration and the machinery engineering theories.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhou, S., Song, G., Ren, Z. et al. Nonlinear dynamic analysis of coupled gear-rotor-bearing system with the effect of internal and external excitations. Chin. J. Mech. Eng. 29, 281–292 (2016). https://doi.org/10.3901/CJME.2015.1019.124

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3901/CJME.2015.1019.124

Keywords

Search

Navigation