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Time-dependent response of a floating flexible plate to an impulsively started steadily moving load

Published online by Cambridge University Press:  25 February 1999

W. S. NUGROHO ,
K. WANG ,
R. J. HOSKING  and
F. MILINAZZO
W. S. NUGROHO
Affiliation:
Department of Mathematics and Statistics, University of Victoria, Victoria, B.C., Canada V8W 3P4 Present address: Fakultas Ilmu Komputer – Universitas Indonesia, Kampus UI-Depok, Box 3442, Jakarta, Indonesia (http://www.cs.ui.ac.id).
K. WANG
Affiliation:
Department of Mathematics and Statistics, James Cook University of North Queensland, Townsville, Q 4811, Australia
R. J. HOSKING
Affiliation:
Department of Mathematics and Statistics, James Cook University of North Queensland, Townsville, Q 4811, Australia
F. MILINAZZO
Affiliation:
Department of Mathematics and Statistics, University of Victoria, Victoria, B.C., Canada V8W 3P4
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Abstract

The time-dependent response of a floating flexible plate to an impulsively started steadily moving load defines the time taken to approach a steady-state deflection due to the load, or indeed whether such a steady state is achieved at all. The asymptotic analysis for large time reported here, for both a concentrated point load and a uniformly distributed circular load, confirms that a steady-state deflection is achieved at both subcritical and supercritical load speeds. This analysis also predicts a logarithmically growing response near the critical speed corresponding to the minimum phase speed of the hybrid waves generated, but an eventual steady-state response when the load speed moves at the shallow water wave speed. These results are supported by numerical computation.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 381 , 25 February 1999 , pp. 337 - 355
Copyright
© 1999 Cambridge University Press

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