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

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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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