Abstract
This paper presents a solution to the problem of oblique wave interaction with rectangular cross section extremely flexible floating pontoons in waters of finite depth. The problem is decoupled into wave scattering and radiation problems and potential theory is employed. Analytical solutions for the linearized hydrodynamic problems in the form of eigenfunction expansions with unknown coefficients are adopted. A new set of eigenfunctions is presented for oblique wave radiation problem. The pontoon is assumed considerably long so as to have negligible end-effects. Flexibility of the pontoon is briefly represented in its periodical motion in time and space along its length, assuming an extremely flexible pontoon. Numerical results showed good agreement with previously published solution. It was also concluded that the two-dimensional added mass and damping coefficients can be used as a conservative estimate for near beam seas values (β≤20°) in shallow water installations. Energy conservation principle was found accurately satisfied in all present results.
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