On Stochastic Difference Equations Associated With Quasi-Diffusion Processes

Plucińska, A.; Pluciński, Edmund

doi:10.1515/dema-1995-0124

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“…To the first group belong the equations which describe the symmetrical motions: η 1 , η 3 , η 5 . The second group is formed by the equations which describe the anti-symmetrical motions: η 2 , η 4 , η 6 .…”

Section: Fig 1 Schematic Diagram Of Physical Model Of Catamaranmentioning

confidence: 99%

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

Królicka

2010

Polish Maritime Research

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

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Section: Fig 1 Schematic Diagram Of Physical Model Of Catamaranmentioning

confidence: 99%

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

Królicka

2010

Polish Maritime Research

View full text Add to dashboard Cite

show abstract

On Stochastic Difference Equations Associated With Quasi-Diffusion Processes

Cited by 1 publication

References 0 publications

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

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

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