Spectral Theory For an Elastic Thin Plate Floating on Water of Finite Depth

DOI10.1137/060665208zbMath1138.74023OpenAlexW2026655953MaRDI QIDQ3507477

Christophe Hazard, Michael H. Meylan

Publication date: 19 June 2008

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/060665208

zbMATH Keywords

first-order theoryinner productself-adjoint operatorsecond-order theory

Mathematics Subject Classification ID

Fluid-solid interactions (including aero- and hydro-elasticity, porosity, etc.) (74F10) Plates (74K20) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15)

Related Items (9)

Time-dependent response of a heterogeneous elastic plate floating on shallow water of variable depth ⋮ Waves propagating along a channel with ice cover ⋮ Interaction of surface and flexural-gravity waves in ice cover with a vertical wall ⋮ Time-dependent linear water-wave scattering in two dimensions by a generalized eigenfunction expansion ⋮ Global identities for water-wave scattering potentials ⋮ Time-dependent water-wave scattering by arrays of cylinders and the approximation of near trapping ⋮ A simplified model for hydroelasticity of containerships ⋮ Generalized eigenfunction method for floating bodies ⋮ The time-dependent vibration of forced floating elastic plates by eigenfunction matching in two and three dimensions

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