The uniform motion of a mass along an axially compressed Euler-Bernoulli beam on a viscoelastic foundation is investigated. It is assumed that the mass is subjected to a constant vertical load and that the beam and mass are in continuous contact. The velocity of the mass after which the vibrations o
STABILITY OF VIBRATIONS OF TWO OSCILLATORS MOVING UNIFORMLY ALONG A BEAM ON A VISCOELASTIC FOUNDATION
โ Scribed by A.R.M. Wolfert; H.A. Dieterman; A.V. Metrikine
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 257 KB
- Volume
- 211
- Category
- Article
- ISSN
- 0022-460X
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โฆ Synopsis
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.
๐ SIMILAR VOLUMES
The eigenfrequencies of a two-mass oscillator moving uniformly along a string on a visco-elastic foundation are analysed. It is shown that in the case of purely elastic foundation, the oscillator has either one or two real positive eigenfrequencies dependent on the system parameters. Taking into acc
The dynamic sti!ness matrix of an in"nite Timoshenko beam on viscoelastic foundation to a harmonic moving load is established. This dynamic sti!ness matrix is essentially a function of the velocity and frequency of the harmonic moving load. The critical velocities and the resonant frequencies can be