Abstract
A theoretical investigation is presented on hydroelastic effects during the hydrodynamic impact of an idealized structure model of a ship. This is a summary of the author's paper, that will be published soon in Schiffstechnik. Based on H. Wagner's theory of hydrodynamic impact, the equations are formulated for the impact, including elastic deformations of the structure and their influence on the pressure field. This formulation holds for the 2-dimensional, vertical, symmetric impact of a structural model of small but nonzero deadrise angle. Compressibility effects are neglected. The general equations are then specified and evaluated numerically for a certain type of model. A normal-mode series expansion is used to calculate the motions of the bottom plates loaded by transient hydrodynamic pressures. The normal modes are those of the plates in vacuum. In order to obtain the pressures. the influence of deformations as well as of velocities and accelerations is considered. The pressures are obtained from a Fourier series involving Chebyshev polynomials. Special attention is given to convergence criteria of both series expansions. The original paper contains numerical results for five parameter combinations. Principal results of one of these examples are discussed.
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