Stability of vibrations of two oscillators moving uniformly along a beam on a viscoelastic foundation

A.R.M. Wolfert; H.A. Dieterman; A. V. Metrikine

doi:10.1006/jsvi.1997.1392

Stability of vibrations of two oscillators moving uniformly along a beam on a viscoelastic foundation

A.R.M. Wolfert^*, H.A. Dieterman, A. V. Metrikine

^*Corresponding author for this work

Materials and Environment

Research output: Contribution to journal › Article › Scientific › peer-review

24 Citations (Scopus)

Abstract

The stability problem of two oscillators moving uniformly along an Euler-Bernoulli beam on a viscoelastic foundation has been studied. It is assumed that the masses and the beam are in continuous contact and that the velocity of the oscillators exceeds the minimum phase velocity of waves in the supported beam. Stability regions are found. It is shown that a range of velocities exists for which unstable vibrations of the two oscillators will occur for all elastic-inertial properties.

Original language	English
Pages (from-to)	829-842
Number of pages	14
Journal	Journal of Sound and Vibration
Volume	211
Issue number	5
DOIs	https://doi.org/10.1006/jsvi.1997.1392
Publication status	Published - 16 Apr 1998

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10.1006/jsvi.1997.1392

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abstract = "The stability problem of two oscillators moving uniformly along an Euler-Bernoulli beam on a viscoelastic foundation has been studied. It is assumed that the masses and the beam are in continuous contact and that the velocity of the oscillators exceeds the minimum phase velocity of waves in the supported beam. Stability regions are found. It is shown that a range of velocities exists for which unstable vibrations of the two oscillators will occur for all elastic-inertial properties.",

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AU - Wolfert, A.R.M.

AU - Dieterman, H.A.

AU - Metrikine, A. V.

PY - 1998/4/16

Y1 - 1998/4/16

N2 - The stability problem of two oscillators moving uniformly along an Euler-Bernoulli beam on a viscoelastic foundation has been studied. It is assumed that the masses and the beam are in continuous contact and that the velocity of the oscillators exceeds the minimum phase velocity of waves in the supported beam. Stability regions are found. It is shown that a range of velocities exists for which unstable vibrations of the two oscillators will occur for all elastic-inertial properties.

AB - The stability problem of two oscillators moving uniformly along an Euler-Bernoulli beam on a viscoelastic foundation has been studied. It is assumed that the masses and the beam are in continuous contact and that the velocity of the oscillators exceeds the minimum phase velocity of waves in the supported beam. Stability regions are found. It is shown that a range of velocities exists for which unstable vibrations of the two oscillators will occur for all elastic-inertial properties.

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DO - 10.1006/jsvi.1997.1392

M3 - Article

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EP - 842

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

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ER -

Stability of vibrations of two oscillators moving uniformly along a beam on a viscoelastic foundation

Abstract

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