Skip to main content
Log in

On the stability of a Timoshenko beam on an elastic foundation under a moving spring-mass system

  • Contributed Papers
  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

The stability problem of densely distributed oscillators moving along a Timoshenko beam on an elastic foundation is considered. The forward speed of the moving subsystem is assumed to be constant. The friction at the contact line between the beam and the oscillator set is neglected. A qualitatively new instability region is found. It is pointed out that the critical velocity for some system parameters takes smaller values than the velocity of shear waves or the velocity of longitudinal waves.

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. Bogacz, R., Popp, K.: Dynamics and stability of train-track-systems, in: Proc. 2nd Int. Conf. on Recent Advances in Structural Dynamics (Petyt, M., Wolfe, H. F., eds.), pp. 709–721. University of Southampton 1984.

  2. Nelson, H. D., Conover, R. A.: Dynamic stability of a beam carrying moving masses. J. Appl. Mech.38, 1003–1006 (1971).

    Google Scholar 

  3. Benedetti, G. A.: Dynamic stability of a beam loaded by sequence of moving mass particles. J. Appl. Mech.41, 1069–1071 (1974).

    Google Scholar 

  4. Kaliski, S.: Travelling surface waves in finite systems. Proc. Vibr. Probl.4, (7), 387–402 (1966).

    Google Scholar 

  5. Bisplinghoff, R. L., Ashley, H.: Principles of aeroelasticity. New York, London 1962.

  6. Kaliski, S.: Amplification of ultrasonic surface wave in a piezoquartz by means of an external electron streams. Proc. Vibr. Probl.1 (7) (1966).

Download references

Author information

Authors and Affiliations

Authors

Additional information

With 8 Figures

Rights and permissions

Reprints and permissions

About this article

Cite this article

Bogacz, R., Nowakowski, S. & Popp, K. On the stability of a Timoshenko beam on an elastic foundation under a moving spring-mass system. Acta Mechanica 61, 117–127 (1986). https://doi.org/10.1007/BF01176367

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01176367

Keywords

Navigation