NONLINEAR ANALYSIS OF SELF-EXCITED VIBRATION IN WHEELED TRACTOR VEHICLE'S DRIVELINE

  • Li, X.H. (National Key Laboratory of Vibration, Shock and Noise, School of Mechanical Engineering, Shanghai Jiotong University) ;
  • Zhang, J.W. (National Key Laboratory of Vibration, Shock and Noise, School of Mechanical Engineering, Shanghai Jiotong University) ;
  • Zeng, C.C. (National Key Laboratory of Vibration, Shock and Noise, School of Mechanical Engineering, Shanghai Jiotong University)
  • 발행 : 2006.08.01

초록

A nonlinear analysis of torsional self-excited vibration in the driveline system for wheeled towing tractors was presented, with a 2-DOF mathematical model. The vibration system was described as a second-order ordinary differential equation. An analytical approach was proposed to the solution of the second-order ODE. The mathematical neighborhood concept was used to construct the interior boundary and the exterior boundary. The ODE was proved to have a limit cycle by using $Poincar\'{e}-Bendixson$ Annulus Theorem when two inequalities were satisfied. Because the two inequalities are easily satisfied, the self-excited vibration is inevitable and even the initial slip rate is little. However, the amplitude will be almost zero when the third inequality is satisfied. Only in a few working modes of the towing tractor the third inequality is not satisfied. It is shown by experiments that the torsional self-excited vibration in the driveline of the vehicle is obvious.

키워드

참고문헌

  1. Bailey, P. H., Reece, A. R. and Wills, B. M. D. (1962). A comparison between the performance of wheels when fitted to two wheel-testing machines and to a normal tractor. J. Agricultural Engineering Research, 1, 61-63
  2. Christopher, S. Keeney and Shan, S. (1992). Prediction and control of heavy duty powertrain torsional vibration. SAE Paper No. 922481
  3. Couderc, J., Callenare, J., Hagopian, D. and Ferraris, G. (1998). Vehicle driveline dynamic behavior; experiment and simulation. J. Sound and Vibration 218, 1, 133-157 https://doi.org/10.1006/jsvi.1998.1808
  4. Farong, Z. and Parker, R. G. (2005). Non-linear dynamics of a one-way clutch in belt-pulley systems. J. Sound and Vibration 279, 1-2, 285-308 https://doi.org/10.1016/j.jsv.2004.01.019
  5. Ford, R. A. J. and Karam, H. (1991). Self-excited vibration of a semi-trailer rig. Trans. Institution of Engineers, Australia: Mechanical Engineering, ME 16, 1, 69-72
  6. Ge, J. M., Wang, Z. M. and Zheng, L. Z. (2003). Simulation of self-excited vibration on vehicle power train. Trans. Chinese Society of Agricultural Machinery (in Chinese) 34, 3, 1-4
  7. Hwang, S. J., Chen, J S. Liu, L. and Ling, C. C. (2000). Modeling and simulation of a powertrain-vehicle system with automatic transmission. Int. J. Vehicle Design 23, 1, 145-160 https://doi.org/10.1504/IJVD.2000.001888
  8. Hwang, S. J., Joseph, L. Stout and Ling, C. C. (1998). Modeling and analysis of powertrain torsional response. SAE Paper No. 980276
  9. Jia, J. Z., Cheng, Y. S., Zheng, L. Z. and Shao, M. L. (1998). Experimental study on the self-excited vibration in vehicle powertrain. Trans. Chinese Society of Agricultural Machinery (in Chinese) 29, 4, 1-5
  10. Jia, J. Z., Luo, X. W. and Shao, M. L. (1997a). Vehicle jumping phenomenon and self-excited vibration in vehicle transmission. Zhongshan University Trans. Forum (in Chinese), 5, 174-178
  11. Jia, J. Z., Wang, D. F. and Wang, Z. Z. (1997b). Research on the self-excited vibration in wheeled vehicle powertrain (part 4): Analysis of factors influencing vehicle stability and measures to control the self-excited vibration. Trans. Chinese Society of Agricultural Engineering (in Chinese) 13, 1, 45-50
  12. Jia, J. Z., Zheng, L. Z. and Cheng, Y. S. (1996). Research on the self-excited vibration in wheeled vehicle powertrain (2): Analysis of energy feedback and control system, Trans. Chinese Society of Agricultural Engineering ( in Chinese) 12, 4, 43-47
  13. Olson, B. J., Shaw, S. W. and Stepan, G. (2000). Dynamics of vehicle traction. Vehicle System Dynamics 40, 6, 377-399 https://doi.org/10.1076/vesd.40.6.377.17905
  14. Wang, D. F. (2000). Stability analysis for self-excited torsional vibration of vehicle driveline. Int. J. Vehicle Design 24, 2, 211-223 https://doi.org/10.1504/IJVD.2000.005226
  15. Zheng, L. Z., Jia, J. Z. and Cheng, Y. S. (1996). Research on the self-excited vibration in wheeled vehicle powertrain (1): Mechanism analysis of self-excited vibration. Trans. Chinese Society of Agricultural Engineering (in Chinese) 12, 4, 37-42
  16. Zheng, L. Z., Liu, M. S. and Zhang, Y. K. (2001). The mechanism of the self-excited torsional vibration in transmission system. Automotive Engineering (in Chinese) 23, 6, 377-399
  17. Zheng, L. Z., Zhang, Y. K., Li, J. M. and Ge, J. M. (1997). Research on the self-excited vibration in wheeled vehicle powertrain (3): Stability analysis of the self-excited vibration system. Trans. Chinese Society of Agricultural Engineering (in Chinese) 13, 1, 39-44