Abstract
An investigation is made into the hydro-elastic behavior of a floating elastic plate, which occupies a quarter plane to infinity and is excited by water waves. A boundary-integral equation based on the Green function for this problem is shown for the case of finite water depth, as well as for the case of shallow water. The solution of the quarter-plane problem is composed of the corner effect and the solution of the half-plane problem. The corner effect is divided into two parts. The first part is the end effect of the forcing term of the integral equation, which is analytically estimated and its asymptotic form is derived. The second part is the local contribution whose asymptotic form is also obtained. The asymptotic form of the corner effect is confirmed by a numerical evaluation.
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Takagi, K. Quarter-plane problem of a floating elastic plate. Journal of Engineering Mathematics 48, 105–128 (2004). https://doi.org/10.1023/B:ENGI.0000011915.39772.b8
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DOI: https://doi.org/10.1023/B:ENGI.0000011915.39772.b8