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

Date

2010-02-19T22:44:19Z

Authors

Nugroho, W.S.
Wang, K.
Hosking, R.J.
Milinazzo, F.

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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 deflexion 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 deflexion 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.

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