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The impact of methods the stochastic analysis on swimming safety of multihull floating units (Part1)

Abstract

The presented article concerns the application of the methods of the stochastic analysis to solve differential equations for multihull catamaran-type floating unit. There was described the continuous process of Markov and the method of equations of Focker-Planck-Kolmogorov. The analysis of dynamics of the multihull unit was carried out with the assumption that the system model is the linear model with six degrees of freedom, on which there operates the irregular wave. Multihull unit with a rigid structure sails with a fixed forward speed V 0 . The equations of the catamaran motion were divided into the system of two groups not conjugated with themselves containing the mutually conjugated equations. The feedback is obtained by the linear and nonlinear coefficients of dampening and coefficients of hydrostatic elasticity. The first group includes the symmetric movements (longitudinal movements), and the second group includes the antisymmetric movements (transverse). There were written the equations of forces “ oˆ It ” excitations for symmetric and antisymmetric movements. The mathematical model of the dynamic system was described by the equations of the state for the antisymmetric movements of the catamaran, which include the transverse oscillation - sway, rolling and the so-called yawing. These equations are presented in part 2.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
Logistyka pages 589 - 598,
ISSN: 1231-5478
Language:
English
Publication year:
2014
Bibliographic description:
Królicka A.: The impact of methods the stochastic analysis on swimming safety of multihull floating units (Part1)// Logistyka -Vol. 4,iss. 4/2014 (2014), s.589-598
Sources of funding:
  • Free publication
Verified by:
Gdańsk University of Technology

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