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

Widijanto Satyo Nugroho, K. Wang, R. J. Hosking, F. Milinazzo

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)337-355
Number of pages19
JournalJournal of Fluid Mechanics
Volume381
DOIs
Publication statusPublished - 25 Feb 1999

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