Hostname: page-component-848d4c4894-8kt4b Total loading time: 0 Render date: 2024-06-19T18:05:43.875Z Has data issue: false hasContentIssue false
  • English
  • Français

Modal Analysis and Dynamic Behavior for Analytical Drivetrain Model

Published online by Cambridge University Press:  15 May 2017

A. Ghorbel ,
M. Abdennadher ,
B. Zghal ,
L. Walha  and
M. Haddar
A. Ghorbel
Affiliation:
Mechanics, Modelling and Manufacturing Laboratory (LA2MP)Mechanical Engineering DepartmentNational Engineers School of SfaxSfax, Tunisia
M. Abdennadher
Affiliation:
Mechanics, Modelling and Manufacturing Laboratory (LA2MP)Mechanical Engineering DepartmentNational Engineers School of SfaxSfax, Tunisia
B. Zghal
Affiliation:
Mechanics, Modelling and Manufacturing Laboratory (LA2MP)Mechanical Engineering DepartmentNational Engineers School of SfaxSfax, Tunisia
L. Walha*
Affiliation:
Mechanics, Modelling and Manufacturing Laboratory (LA2MP)Mechanical Engineering DepartmentNational Engineers School of SfaxSfax, Tunisia
M. Haddar
Affiliation:
Mechanics, Modelling and Manufacturing Laboratory (LA2MP)Mechanical Engineering DepartmentNational Engineers School of SfaxSfax, Tunisia
*
*Corresponding author (walhalassaad@yahoo.fr)
Get access

Abstract

A generalized dynamic model for an automotive drive train system was detailed to investigate its modal properties and dynamic behavior. The model's engine excitation, clutch, gearbox and disc brake were presented. Then, vibration modes were obtained and classified into clutch, transmission system, disc brake, bearing and combined modes. For each vibration mode, the kinetic and strain modal energies distributions were studied. The dynamic equations were resolved using the numerical Newmark method. The dynamic behavior of the bearings and transmission errors for the two gear stages were studied, and, the effect of the disc brake parameters on the transmission error was analyzed. Finally, a frequency sweep analysis was studied to investigate the system resonance problem.

Keywords

Drivetrain vibrationHelical gearBrake discModal analysis
Type
Research Article
Information
Journal of Mechanics , Volume 34 , Issue 4 , August 2018 , pp. 399 - 415
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2018 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Templin, P. and Egardt, B., “An LQR Torque Compensator for Driveline Oscillation Damping,” 18th IEEE International Conference Control Applications, pp. 352–356 (2009).Google Scholar
2. Bemporad, A., Borrelli, F., Glielmo, L. and Vasca, F., “Optimal Piecewise-Linear Control of Dry Clutch Engagement,” IFAC Workshop Advances in Automotive Control, pp. 33–38 (2001).Google Scholar
3. Heijden, A. V. D., Serrarens, A. F. A., Camlibel, M. K. and Nijmeijer, H., “Hybrid Optimal Control of Dry Clutch Engagement,” International Journal of Control, 80, pp. 1717–1728 (2007).Google Scholar
4. Walha, L., Driss, Y., Khabou, M. T., Fakhfakh, T., and Haddar, M., “Effects of Eccentricity Defect on the Nonlinear Dynamic Behavior of the Mechanism Clutch-Helical Two Stage Gear,” Mechanism and Machine Theory, 46, pp. 986–997 (2011).Google Scholar
5. VanBerkel, K., Hofman, T., Serrarens, A. and Steinbuch, M., “Fast and Smooth Clutch Engagement Control for Dual-Clutch Transmissions,” Control Engineering Practice, 22, pp. 57–68 (2014).Google Scholar
6. Caruntu, C. F., Lazar, M. and Di Cairano, S., “Driveline Oscillations Damping: A Tractable Predictive Control Solution Based on a Piecewise Affine Model,” Nonlinear Analysis: Hybrid Systems, 19, pp. 168–185 (2016).Google Scholar
7. Gaillard, C. L. and Singh, R., “Dynamic Analysis of Automotive Clutch Dampers,” Applied Acoustics, 60, pp. 399–424 (2000).Google Scholar
8. Duan, C. and Singh, R., “Dynamics of a 3 DOF Torsional System with a Dry Friction Controlled Path,” Journal of Sound and Vibration, 289, pp. 657–688 (2006).Google Scholar
9. Kim, T. C., Rook, T. E. and Singh, R., “Super- and Sub-Harmonic Response Calculations for a Torsional System with Clearance Nonlinearity Using the Harmonic Balance Method,” Journal of Sound and Vibration, 281, pp. 965–993 (2005).Google Scholar
10. Kim, T. C., Rook, T. E. and Singh, R., “Effect of Nonlinear Impact Damping on the Frequency Response of a Torsional System with Clearance,” Journal of Sound and Vibration, 281, pp. 995–1021 (2005).Google Scholar
11. Driss, Y., Fakhfakh, T. and Haddar, M., “Effect of Eccentricity on a Clutch System under a Harmonically Varying Normal Load,” Journal of Failure Analysis and Prevention, 7, pp. 127–136 (2007).Google Scholar
12. Kim, W., Yoo, H. H. and Chung, J., “Dynamic Analysis for a Pair of Spur Gears with Translational Motion Due to Bearing Deformation,” Journal of Sound and Vibration, 329, pp. 4409–4421 (2010).Google Scholar
13. Howard, I., Jia, S. and Wang, J., “The Dynamic Modelling of a Spur Gear in Mesh Including Friction and a Crack,” Mechanical Systems and Signal Processing, 15, pp. 831–853 (2001).Google Scholar
14. Jia, S. and Howard, I., “Comparison of Localized Spalling and Crack Damage from Dynamic Modelling of Spur Gear Vibrations,” Mechanical Systems and Signal Processing, 20, pp. 332–349 (2006).Google Scholar
15. Chaari, F., Baccar, W., Abbes, M. S. and Haddar, M., “Effect of Spalling or Tooth Breakage on Gearmesh Stiffness and Dynamic Response of a One-Stage Spur Gear Transmission,” European Journal of Mechanics-A/Solids, 27, pp. 691–705 (2008).Google Scholar
16. Walha, L., Fakhfakh, T. and Haddar, M., “Nonlinear Dynamics of a Two-Stage Gear System with Mesh Stiffness Fluctuation, Bearing Flexibility and Backlash,” Mechanism and Machine Theory, 44, pp. 1058–1069 (2009).Google Scholar
17. Walha, L., Driss, Y., Fakhfakh, T. and Haddar, M., “Effect of Manufacturing Defects on the Dynamic Behaviour for an Helical Two-Stage Gear System,” Mécanique & Industries, 10, pp. 365–376 (2009).Google Scholar
18. Abboudi, K. et al., “Dynamic Behavior of a Two-Stage Gear Train Used in a Fixed-Speed Wind Turbine,” Mechanism and Machine Theory, 46, pp. 1888–1900 (2011).Google Scholar
19. Perret-Liaudet, J., “An Original Method for Computing the Response of a Parametrically Excited Forced System”, Journal of Sound and Vibration, 196, pp. 165–177 (1996).Google Scholar
20. Oberst, S. and Lai, J. C. S., “Statistical Analysis of Brake Squeal Noise,” Journal of Sound and Vibration, 330, pp. 2978–2994 (2011).Google Scholar
21. Ouyang, H., Mottershead, J. E., Cartmell, M. P. and Brookfield, D. J., “Friction-Induced Vibration of an Elastic Slider on a Vibrating Disc,” International Journal of Mechanical Sciences, 41, pp. 325–336 (1999).Google Scholar
22. Von Wagner, U., Hochlenert, D. and Hagedorn, P., “Minimal Models for Disk Brake Squeal,” Journal of Sound and Vibration, 302, pp. 527–539 (2007).Google Scholar
23. Shin, K., Brennan, M. J., Oh, J. E. and Harris, C. J., “Analysis of Disc Brake Noise Using a Two-Degree-of-Freedom Model,” Journal of Sound and Vibration, 254, pp. 837–848 (2002).Google Scholar
24. Shin, K., Oh, J. E. and Brennan, M. J., “Nonlinear Analysis of Friction Induced Vibrations of a Two-Degree-of-Freedom Model for Disc Brake Squeal Noise,” JSME International Journal Series C Mechanical Systems, Machine Elements and Manufacturing, 45, pp. 426–432 (2002).Google Scholar
25. Crowther, A. R. and Singh, R., “Analytical Investigation of Stick-Slip Motions in Coupled Brake-Driveline Systems,” Nonlinear Dynamics, 50, pp. 463–481 (2007).Google Scholar
26. Crowther, A. R. and Singh, R., “Identification and Quantification of Stick-Slip Induced Brake Groan Events Using Experimental and Analytical Investigations,” Noise Control Engineering Journal, 56, pp. 235–255 (2008).Google Scholar
27. Wei, D., Ruan, J., Zhu, W. and Kang, Z., “Properties of Stability, Bifurcation, and Chaos of the Tangential Motion Disk Brake,” Journal of Sound and Vibration, 375, pp. 353–365 (2016).Google Scholar
28. Ahmed, I., “Analysis of Disc Brake Squeal Using a Ten-Degree-of-Freedom Model,” International Journal of Engineering, Science and Technology, 3, pp. 142–155 (2011).Google Scholar
29. Chen, L. and Xi, G., “Stability and Response of a Self-Amplified Braking System under Velocity-Dependent Actuation Force,” Nonlinear Dynamics, 78, pp. 2459–2477 (2014).Google Scholar
30. Khabou, M. T. et al., “Influence of Disk Brake Friction on the Dynamic Behaviour of a Directly Coupled Spur Gear Transmission,” Multidiscipline Modeling in Materials and Structures, 10, pp. 146–162 (2014).Google Scholar
31. Tian, X. H., “Dynamic Simulation for System Response of Gearbox Including Localized Gear Faults,” Master's Thesis, University of Alberta (2004).Google Scholar
32. Wan, Z., Cao, H., Zi, Y., He, W. and Chen, Y., “Mesh Stiffness Calculation Using an Accumulated Integral Potential Energy Method and Dynamic Analysis of Helical Gears,” Mechanism and Machine Theory, 92, pp. 447–463 (2015).Google Scholar
33. Cooley, J. W. and Tukey, J. W., “An Algorithm for the Machine Calculation of Complex Fourier Series,” Mathematics of Computation, 19, pp. 297–301 (1965).Google Scholar