A Laplace-domain method for motion response estimation of floating structures based on a combination of generalised transfer function and partial fraction

ABSTRACT A Laplace-domain method is proposed to predict time-domain motion responses of floating structures. As a theoretical contribution, two techniques of generalising transfer functions of floating structures (GTFF) are developed, which are symbolic-based and Fourier transform-based techniques. Three cases are employed in this study: The first case involves a single degree-of-freedom system to demonstrate the correctness of the derived GTFF, which is assumed to have a purely analytical retardation function. The second case involves a truncated cylinder subjected to random waves that are defined by a Jonswap spectrum. Numerical results show that the symbolic approach simultaneously offers a perfect estimation of the transfer functions of a system, while the inverse Fourier-transform-based approach has some discrepancies at the first short parts of the phases. To further investigate potential applications, a floating platform is employed, and comparisons are drawn by using the commercial software SESAM, which found consistently estimated motion responses.

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