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

Published online by Cambridge University Press:  13 December 2004

K. WANG ,
R. J. HOSKING  and
F. MILINAZZO
K. WANG
Affiliation:
Department of Mathematics, James Cook University, Townsville, Qld 4811, Australia
R. J. HOSKING
Affiliation:
Department of Mathematics, Universiti Brunei Darussalam, Gadong BE1410, Brunei
F. MILINAZZO
Affiliation:
Department of Mathematics, University of Victoria, Victoria, BC, Canada
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Abstract

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This paper extends the Boltzmann hereditary delay integral approach previously used to predict the anelastic response of a floating flexible plate to a steadily moving load, to describe the evolution of the response when the load is impulsively started from rest. Asymptotic analysis demonstrates that the ultimate one-dimensional and two-dimensional deflections (due to a line load and a point load, respectively) are consistent with the results obtained from the earlier time-independent viscoelastic theory. Transients in the two-dimensional case decay much more rapidly than their counterparts in the one-dimensional case. Steady-state deflections are approached at all load speeds in the two-dimensional theory, including the critical load speed (coincident with the minimum phase speed of hybrid flexural–gravity waves) and the gravity wave speed.

Type
Papers
Information
Journal of Fluid Mechanics , Volume 521 , 25 December 2004 , pp. 295 - 317
Copyright
© 2004 Cambridge University Press