Archive of Applied Mechanics

, Volume 71, Issue 9, pp 613–624 | Cite as

Instability of vibrations of a moving two-mass oscillator on a flexibly supported Timoshenko beam

  • A. V. Metrikine
  • S. N. Verichev

Summary

 Transversal vibrations of a uniformly moving two-mass oscillator on a Timoshenko beam of infinite length supported by a viscoelastic foundation are studied. By using integral transforms, the characteristic equation for the oscillator's vibrations is obtained. It is shown that the equation may have a root with a positive real part. The existence of such a root leads to the exponential increase of the amplitude of the oscillator vibrations, i.e. to instability. The reasons for the instability to occur are discussed. By employing the method of D-decomposition, the instability domains are found in the space of the system parameters.

Keywords Vibration Instability, Moving Load, D-decomposition Method, Elastic Wave, Radiation, Timoshenko Beam 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • A. V. Metrikine
    • 1
  • S. N. Verichev
    • 2
  1. 1.Delft University of Technology, Faculty of Civil Engineering and Geosciences, Stevinweg 1, NL-2628 CN Delft, The Netherlands¶e-mail: a.metrikine@ct.tudelft.nlNL
  2. 2.Mechanical Engineering Institute of Russian¶Academy of Sciences, Belinskogo 85, 603024 Nizhniy Novgorod, Russia¶e-mail: elsapo@kis.ruRU

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