Abstract
Based on potential flow theory, the second-order interaction between nonlinear waves with infinite and finite elastic plates is examined by using the eigenfunction expansion method and Higher Order Boundary Element Method (HOBEM) coupling with the plate's Green function in the frequency domain. For infinite elastic plates, the singular phenomenon of second-order flexural-gravity waves is examined, and for finite elastic plates, the effects of plate length on the maximum second-order displacement and occurring frequency are studied. The maximum second-order displacement of the finite elastic plate increases with increasing plate length, and the frequency of the maximum displacement decreases and approaches the singular frequency of the corresponding infinite elastic plate with increasing plate length. In addition, the effects of the plate bending stiffness and water depth on the maximum second-order displacement are also investigated.
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