Skip to main content
Log in

Nonlinear Dynamic Behaviour of Coupled Suspension Systems

  • Published:
Meccanica Aims and scope Submit manuscript

Abstract

A two degrees of freedom model of two coupled suspension systems characterised by piecewise linear stiffness has been studied. The system, representing a pantograph current collector head, is shown to be sensitive to changes in excitation and system parameters, possessing chaotic, periodic and quasiperiodic behaviour. The coupled system has a more irregular behaviour with larger motions than the uncoupled suspension system, indicating that the response from the uncoupled suspension system cannot be used as a worst case measure. Since small changes in system parameters and excitation affect the results drastically then wear and mounting as well as actual operating conditions are crucial factors for the system behaviour.

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

Access this article

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

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Jerrelind, J. and Stensson, A., ‘Nonlinear dynamics of parts in engineering systems’, Chaos Solitons Fract. 11(15) (2000) 2413-2428.

    Google Scholar 

  2. Awrejcewicz, J., Bifurcations and Chaos in Coupled Oscillators, World Scientific, Singapore, 1991.

    Google Scholar 

  3. Heagy, J.F., Caroll, T.L. and Pecora, L.M., ‘Experimental and numerical evidence for riddling basins in coupled chaotic systems’, Phys. Rev. Lett. 73(26) (1994) 3528-3531.

    Google Scholar 

  4. Blazejczyk-Okolewska, B., ‘Study of the impact oscillator with elastic coupling of masses’, Chaos Solitons Fract. 11(15) (2000) 2487-2492.

    Google Scholar 

  5. Blazejczyk-Okolewska, B., Brindley, J. and Kapitaniak, T., ‘Practical riddling in mechanical systems’, Chaos Solitons Fract. 11(15) (2000) 2511-2514.

    Google Scholar 

  6. Yamada, T. and Fujisaka, H., ‘Stability theory of synchronized motion in coupled-oscillator systems. II’, Prog. Theor. Phys. 70(5) (1983) 1240-1247.

    Google Scholar 

  7. Aidanpää, J.-O. and Gupta, R.B., ‘Periodic and chaotic behaviour of a threshold-limited two-degree-of-freedom system’, J. Sound Vib. 165(2) (1993) 305-307.

    Google Scholar 

  8. Bishop, S.R., ‘Impact oscillators’, Phil. Trans. R. Soc. Lond. Ser. A 347(1683) (1994) 347-351.

    Google Scholar 

  9. Shaw, S.W. and Holmes, P.J., ‘A periodically forced piecewise linear oscillator’, J. Sound Vib. 90(1) (1983) 129-155.

    Google Scholar 

  10. Wiercigroch, M. and Sin, V.W.T., ‘Experimental study of a symmetrical piecewise base-excited oscillator’, J. Appl. Mech. 65(3) (1998) 657-663.

    Google Scholar 

  11. Wiercigroch, M., ‘Chaotic vibration of a simple model of the machine tool-cutting process system’, J. Vib. Acoust. 119(3) (1997) 468-475.

    Google Scholar 

  12. Wiercigroch, M., ‘Modelling of dynamical systems with motion dependent discontinuities’, Chaos Solitons Fract. 11 (2000) 2429-2442.

    Google Scholar 

  13. Stensson, A., Asplund, C. and Karlsson, L., ‘The nonlinear behaviour of a Macpherson strut wheel suspension’ Vehicle Syst. Dyn. 23 (1994) 85-106.

    Google Scholar 

  14. Stensson, A., Berghuvud, A. and Bergman, E., ‘Main suspension dynamics in a three-piece bogie’, in: Proceedings of the 16th IAVSD Symposium, Dynamics of Vehicles on Roads and Tracks, August 30–September 3, Pretoria, South Africa, 1999.

  15. Drugge, L., Larsson, T., Berghuvud, A. and Stensson A., ‘The nonlinear behaviour of a pantograph current collector suspension’, in: ASME Design Engineering Technical Conferences, DETC99/VIB-8026, 1999.

  16. Yagi, T., Stensson, A. and Hardell, C., ‘Simulation and visualisation of the dynamic behaviour of an overhead power system with contact breaking’, Vehicle Syst. Dyn. 25 (1996) 31-49.

    Google Scholar 

  17. Pfeiffer, F. and Glocker, C., Multibody Dynamics with Unilateral Contacts, Wiley, New York, 1996.

    Google Scholar 

  18. MATLAB is a registered trademark of The Math Works Inc., 24 Prime Park Way, Natick, MA 01760-1500, USA.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Jerrelind, J., Stensson, A. Nonlinear Dynamic Behaviour of Coupled Suspension Systems. Meccanica 38, 43–59 (2003). https://doi.org/10.1023/A:1022067317220

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1022067317220

Navigation