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NON-STATIONARY PROBLEMS IN DYNAMICS OF A STRING ON AN ELASTIC FOUNDATION SUBJECTED TO A MOVING LOAD

✍ Scribed by S. Gavrilov

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 225 KB
Volume: 222
Category: Article
ISSN: 0022-460X
DOI: 10.1006/jsvi.1998.2051

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✦ Synopsis

The dynamics of an in®nite string on an elastic foundation subjected to a moving load is under investigation in this paper. The load is modelled by a moving concentrated force. Both analytical and numerical methods are used. Non-stationary problems are analyzed. In particular the wave process caused by the accelerating load passing through the sonic speed is investigated. It is shown that the load at the moment when its speed is equal to the critical velocity gives rise to a wave front travelling at the sonic speed along the string. The asymptotical solution describing this front for large values of time is obtained. It allows the investigation of the qualitative properties of the solution. This solution and the results obtained in the numerical simulation carried out are in a good agreement.

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