Wolfert A.R.M., Metrikine A.V. and Dieterman H.A.

 

Stability of vibrations of two oscillators moving uniformly along a beam on a visco-elastic foundation

 

Journal of Sound and Vibration 211(5), 829-842, 1998

doi:10.1006/jsvi.1997.1392 

 

Summary. The stability problem of two oscillators moving uniformly along an Euler-Bernoulli beam on a visco-elastic foundation is 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.