<abstract xml:lang="en" xmlns="http://www.w3.org/1999/xhtml"><p>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.</p></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.

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

Polish Maritime Research

This paper concerns dynamic behaviour of multihull floating unit of catamaran type exposed to excitations due to irregular sea waves. Dynamic analysis of...

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

Published Online: Sep 27, 2010

Page range: 33 - 38

DOI: https://doi.org/10.2478/v10012-010-0003-6

Keywords
dynamics of multihull floating unit, sea waves, stochastical processes, wave spectra

This content is open access.

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

Published Online: Sep 27, 2010

Page range: 33 - 38

DOI: https://doi.org/10.2478/v10012-010-0003-6

Keywordsdynamics of multihull floating unit, sea waves, stochastical processes, wave spectra

This content is open access.

Keywords
dynamics of multihull floating unit, sea waves, stochastical processes, wave spectra