Abstract
A numerical model is developed to investigate the resonance and response characteristics of a floating fluid-filled membrane in gravity waves. The model consists of three components simulating, respectively, the membrane response and the motions of the fluids inside and outside the membrane. The governing integral equation for membrane deformation is derived in variational form based on the principle of virtual work and contains all the terms consistent with a linear strain–displacement relation. Potential flow solutions of the internal and external fluids are obtained by two boundary element models, which are coupled to the finite element model of the membrane. Comparison of the computed results with published numerical and experimental data indicates favorable agreement. An average response amplitude operator is defined to identify the resonance frequencies, at which the response patterns are examined. The present paper provides a complete linear solution of the fluid–membrane interaction problem and new results illustrating the effect of membrane elasticity on the resonant response.
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