On the transversal vibrations of a conveyor belt with a low and time-varying velocity. Part I: the string-like case
In this paper initial-boundary-value problems for a linear wave (string) equation are considered. These problems can be used as simple models to describe the vertical vibrations of a conveyor belt, for which the velocity is small with respect to the wave speed and is assumed to move with a time-vary...
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Published in | Journal of sound and vibration Vol. 264; no. 1; pp. 117 - 133 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
London
Elsevier Ltd
26.06.2003
Elsevier |
Subjects | |
Online Access | Get full text |
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Summary: | In this paper initial-boundary-value problems for a linear wave (string) equation are considered. These problems can be used as simple models to describe the vertical vibrations of a conveyor belt, for which the velocity is small with respect to the wave speed and is assumed to move with a time-varying speed. Formal asymptotic approximations of the solutions are constructed to show the complicated dynamical behavior of the conveyor belt. It will also be shown that the truncation method cannot be applied to this problem in order to obtain approximations valid on long time scales. |
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ISSN: | 0022-460X 1095-8568 |
DOI: | 10.1016/S0022-460X(02)01168-9 |