Abstract
In this paper, a novel version of orthonormal polynomial series expansion method is developed to analyze vibrations of bottom hull panels due to moving impacting fluid loads. The initial phase of slamming is considered in the presented mathematical model, wherein, an elastic linear Euler-Bernoulli beam of uniform thickness mimics the bottom panel structural behaviour. The framework developed, suppresses the Gibbs phenomenon, and captures the beam deflection, flexural moment, and shear force by direct integration. The proposed solution exhibits a higher convergence rate, compared to the conventional method, in terms of the number of involved shape functions.
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