The radiation and diffraction problems are considered in the frequency domain for a thin elastic plate of rectangular planform floating in an irrotational, incompressible ocean of infinite depth. The inner potential field inside a hemisphere surrounding the plate is represented using a spherical harmonic expansion which suits the geometry and zero-draft nature of the plate. Problems associated with distributing sources in the free surface are avoided. The Chen and Mei variational principle is used to weakly match this inner solution and its normal derivative to an outer field described by distributing sources on the exterior of the hemisphere. The validity of the procedure is first illustrated by considering a heaving circular disk. Numerous hydrodynamic coefficients are presented as benchmark data for floating flexible structures. The transient motion of the plate is simulated using rational approximations (in the frequency domain) to the radiation impedance and diffraction mapping which are implemented as ODE's (Ordinary Differential Equations) in the time domain.


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    Title :

    The hydrodynamics of thin floating plates


    Additional title:

    Hydrodynamik dünner schwimmender Platten


    Contributors:

    Published in:

    Ocean Engineering ; 28 , 9 ; 1145-1170


    Publication date :

    2001


    Size :

    26 Seiten, 10 Bilder, 1 Tabelle, 16 Quellen




    Type of media :

    Article (Journal)


    Type of material :

    Print


    Language :

    English