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State equations in the mathematical model of dynamic behaviour of multihull floating unit Cover

State equations in the mathematical model of dynamic behaviour of multihull floating unit

Open Access
|Sep 2010

Abstract

This paper concerns dynamic behaviour of multihull floating unit of catamaran type exposed to excitations due to irregular sea waves. Dynamic analysis of multihull floating unit necessitates, in its initial stage, to determine physical model of the unit and next to assume an identified mathematical model. Correctly elaborated physical models should contain information on the basis of which a mathematical model could be built. Mathematical models describe mutual relations between crucial quantities which characterize a given system in time domain. The dynamic analysis of multihull unit was performed under assumption that the unit's model has been linear and exposed to action of irregular sea waves. Mathematical model of such dynamic system is represented by state equations. The formulated equations take into account encounter of head wave which generates symmetrical motions of the unit, i.e. surge, heave and pitch. For solving the equations the following three wave spectra were taken into consideration: - ISSC (International Ship Structures Congress) spectrum - Pierson-Moskowitz spectrum - Paszkiewicz spectrum.

DOI: https://doi.org/10.2478/v10012-010-0003-6 | Journal eISSN: 2083-7429 | Journal ISSN: 1233-2585
Language: English
Page range: 33 - 38
Published on: Sep 27, 2010
Published by: Gdansk University of Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2010 Agnieszka Królicka, published by Gdansk University of Technology
This work is licensed under the Creative Commons License.

Volume 17 (2010): Issue 1 (January 2010)