Advertisement

Electromechanical dynamic simulation and experiment for multi-stage gear transmission system with planetary gears

  • Yong Wang
  • Changzhao Liu
  • Yinghua Liao
Article
  • 61 Downloads

Abstract

A large number of machineries, such as long-wall shearer and tunnel boring machine, contain the multi-stage gear transmission system with planetary gears driven by electric motor, whose electromechanical characteristics have significant effect on the performance of machineries. Therefore, a test rig of this kind of transmission system is established, and the electromechanical dynamic model is also constructed for it, including the electric motor and the gear transmission. Moreover, to obtain more accurate simulation results, a method is proposed to estimate the equivalent damping value of the gear transmission system in the aspect of energy based on the testing data. Next, the electromechanical dynamic characteristics, including the motor current and the internal load of the gear transmission, are investigated by experiment and simulation under shock and step load to provide some guidance for improvingthe dynamic performance and monitoring the working state. The electromechanical dynamic modeling method is also well validated by the comparison between the simulating and test results.

Keywords

Multi-stage gear transmission system Planetary gears Electromechanical dynamic characteristics Simulation Experiment 

Notes

Acknowledgements

The research is supported by National Natural Science Foundation of China (Grant No. 51705042), SichuanProvincial Key Lab of Process Equipment and Control (Grant No. GK201713), the Fundamental Research Funds for the Central Universities (Grant No. 106112017CDJXY330001), and State Key Laboratory of Mechanical Transmission (Grant No. SKLMT-ZZKT-2017Z07).

References

  1. 1.
    Takahashi, I., Noguchi, N.: A new quick-response and high-efficiency control strategy of an induction motor. IEEE Trans. Ind. Appl. 22(5), 820–827 (1986)CrossRefGoogle Scholar
  2. 2.
    He, S., Gunda, R., Singh, R.: Effect of sliding friction on the dynamics of spur gear pair with realistic time-varying stiffness. J. Sound Vib. 301(3–5), 927–949 (2007)CrossRefGoogle Scholar
  3. 3.
    Velex, P., Sainsot, P.: An analytical study of tooth friction excitations in errorless spur and helical gears. Mech. Mach. Theory 37(7), 641–658 (2002)CrossRefMATHGoogle Scholar
  4. 4.
    Velex, P., Maatar, M.: A mathematical model for analyzing the influence of shape deviations and mounting errors on gear dynamic behaviour. J. Sound. Vib. 191(5), 629–660 (1996)CrossRefGoogle Scholar
  5. 5.
    Kahraman, A.: Natural modes of planetary gear trains. J. Sound. Vib. 173(1), 125–130 (1994)CrossRefGoogle Scholar
  6. 6.
    Lin, J., Parker, R.G.: Analytical characterization of the unique properties of planetary gear free vibration. J. Vib. Acoust. 121(3), 316–321 (1999)CrossRefGoogle Scholar
  7. 7.
    Guo, Y., Parker, R.G.: Dynamic modeling and analysis of a spur planetary gear involving tooth wedging and bearing clearance nonlinearity. Eur. J. Mech. A 29(6), 1022–1033 (2010)CrossRefGoogle Scholar
  8. 8.
    Kim, W., Lee, J.Y., Chung, J.: Dynamic analysis for a planetary gear with time-varying pressure angles and contact ratios. J Sound Vib. 331(4), 883–901 (2012)CrossRefGoogle Scholar
  9. 9.
    Liu, C., Qin, D., Liao, Y.: Dynamic model of variable speed process for herringbone gears including friction calculated by variable friction coefficient. J. Mech. Des. 136(4), 41001–41006 (2014)CrossRefGoogle Scholar
  10. 10.
    Liu, C., Qin, D., Liao, Y.: Electromechanical dynamic analysis for the drum driving system of the long-wall shearer. Adv. Mech. Eng. 7(10), 1–14 (2015)CrossRefGoogle Scholar
  11. 11.
    Liu, C., Qin, D., Lim, T.C., Liao, Y.: Dynamic characteristics of the herringbone planetary gear set during the variable speed process. J Sound Vib. 333(24), 6498–6515 (2014)CrossRefGoogle Scholar
  12. 12.
    Chaari, F., Abbes, M.S., Rueda, F.V., Rincon, A.F.D., Haddar, M.: Analysis of planetary gear transmission in non-stationary operations. Front. Mech. Eng. 8(1), 88–94 (2013)CrossRefGoogle Scholar
  13. 13.
    Theodossiades, S., Natsiavas, S.: Periodic and chaotic dynamics of motor-driven gear-pair systems with backlash. Chaos Solitons Fractals 12(13), 2427–2440 (2001)CrossRefGoogle Scholar
  14. 14.
    Khabou, M.T., Bouchaala, N., Chaari, F., Fakhfakh, T., Haddar, M.: Study of a spur gear dynamic behavior in transient regime. Mech. Syst. Signal Process. 25(8), 3089–3101 (2011)CrossRefGoogle Scholar
  15. 15.
    Bartelmus, W.: Mathematical modelling and computer simulations as an aid to gearbox diagnostics. Mech. Syst. Signal Process. 15(5), 855–871 (2001)CrossRefGoogle Scholar
  16. 16.
    Feki, N., Clerc, G., Velex, P.: An integrated electro-mechanical model of motor-gear units-Applications to tooth fault detection by electric measurements. Mech. Syst. Signal Process. 29, 377–390 (2012)CrossRefGoogle Scholar
  17. 17.
    Mezyk, A.: Minimization of transient forces in an electro-mechanical system. Struct. Optim. 8(4), 251–256 (1994)CrossRefGoogle Scholar
  18. 18.
    Clerc, G., Feki, N., Velex, P.: Modeling of gear-motor dynamic interactions—applications to the detection of tooth faults by electric measurements. VDI-berichte. 2108. Munich, pp. 941–953 (2010)Google Scholar
  19. 19.
    Sika, G., Velex, P.: Analytical and numerical dynamic analysis of gears in the presence of engine acyclism. J. Mech. Des. 130(12), 124501–124502 (2008)CrossRefGoogle Scholar
  20. 20.
    Sika, G., Velex, P.: Instability analysis in oscillators with velocity-modulated time-varying stiffness–Applications to gears submitted to engine speed fluctuations. J. Sound Vib. 318(1–2), 166–175 (2008)CrossRefGoogle Scholar
  21. 21.
    Li, S., Kahraman, A.: A spur gear mesh interface damping model based on elastohydrodynamic contact behaviour. Int. J. Powertrains 1(1), 4–21 (2011)CrossRefGoogle Scholar
  22. 22.
    Shi, Z., Lim, T.C.: Effect of Hertzian impact damping on hypoid gear dynamic response. In: Velex P, edito. International Gear Conference 2014: 26th–28th August 2014, Lyon. Oxford: Chandos Publishing, 2014. pp. 1011-1019Google Scholar
  23. 23.
    Guilbault, R., Lalonde, S., Thomas, M.: Nonlinear damping calculation in cylindrical gear dynamic modeling. J. Sound. Vib. 331(9), 2110–2128 (2012)CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.State Key Laboratory of Mechanical TransmissionChongqing UniversityChongqingChina
  2. 2.Department of Automotive EngineeringChongqing College of Electronic EngineeringChongqingChina
  3. 3.Sichuan Provincial Key Lab of Process Equipment and ControlSichuan University of Science & EngineeringZigongChina

Personalised recommendations