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On transversal vibrations of an axially moving string with a time-varying velocity

✍ Scribed by S. V. Ponomareva; W. T. van Horssen

Publisher
Springer Netherlands
Year
2007
Tongue
English
Weight
312 KB
Volume
50
Category
Article
ISSN
0924-090X

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πŸ“œ SIMILAR VOLUMES

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On the transversal vibrations of an axially moving continuum with a time-varying velocity: Transient from string to beam behavior
✍ S.V. Ponomareva; W.T. van Horssen πŸ“‚ Article πŸ“… 2009 πŸ› Elsevier Science 🌐 English βš– 246 KB

In this paper an initial boundary value problem for a linear equation describing an axially moving stretched beam will be considered. The velocity of the beam is assumed to be time varying. Since the order of magnitude of the bending stiffness terms depends on the vibration modes and the frequencies

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The dynamic response of an axially accelerating, elastic, tensioned beam is investigated. The time-dependent velocity is assumed to vary harmonically about a constant mean velocity. These systems experience a coriolis acceleration component which renders such systems gyroscopic. The equation of moti