Graduate Thesis Or Dissertation
 

An eigenvalue wave analysis of a fixed semi-immersed rectangular structure

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  • The problem of a fixed rectangular structure of unit width in a train of simple harmonic normally-incident waves is modeled. The solution allows for variable (1) length and draft of structure, (2) differing depths in the three (fore, aft, and beneath the structure) distinct regions, and (3) wave period. The solution also includes the effects of expansion and contraction losses and allows for the inclusion of a porous media under the structure. The analysis solves the general potential flow problem, with linear damping, in the three regions. Amplitudes for the resulting series of eigenfunctions are determined by: (1) matching pressure and horizontal velocity at the region interfaces, (2) orthogonalizing these expressions over the depth, and (3) simultaneously solving the resulting equations to yield complex reflection and transmission coefficients. The complex horizontal and vertical force coefficients are also found from the integrated Bernoulli equation. Comparison with experimental data and other theories is made and design curves for various structure and wave parameters are presented.
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