Analysis of Real Ship Rolling Dynamics under Wave Excitement Force Composed of Sums of Cosine Functions

Journal Article · Wed Sep 28 00:00:00 EDT 2011 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3651896· OSTI ID:21611722

Zhang, Y S ^[1]; Cai, F ^[2]; Xu, W M ^[3]

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1. Department of Scientific Research, Dalian Naval Academy, Dalian 116018 (China)
2. Department of Navigation, Dalian Naval Academy, Dalian 116018 (China)
3. Department of Hydrography and Cartography, Dalian Naval Academy, Dalian 116018 (China)

The ship motion equation with a cosine wave excitement force describes the slip moments in regular waves. A new kind of wave excitement force model, with the form as sums of cosine functions was proposed to describe ship rolling in irregular waves. Ship rolling time series were obtained by solving the ship motion equation with the fourth-order-Runger-Kutta method. These rolling time series were synthetically analyzed with methods of phase-space track, power spectrum, primary component analysis, and the largest Lyapunove exponent. Simulation results show that ship rolling presents some chaotic characteristic when the wave excitement force was applied by sums of cosine functions. The result well explains the course of ship rolling's chaotic mechanism and is useful for ship hydrodynamic study.

• OSTI ID: 21611722
• Journal Information: AIP Conference Proceedings, Vol. 1376, Issue 1; Conference: 6. international conference on fluid mechanics, Guangzhou (China), 30 Jun - 3 Jul 2011; Other Information: DOI: 10.1063/1.3651896; (c) 2011 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CHAOS THEORY
COMPUTERIZED SIMULATION
DIFFERENTIAL EQUATIONS
FREQUENCY MEASUREMENT
PHASE SPACE
ROLLING
RUNGE-KUTTA METHOD
SHIPS
SLIP
STOCHASTIC PROCESSES
CALCULATION METHODS
EQUATIONS
FABRICATION
ITERATIVE METHODS
MATERIALS WORKING
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
MATHEMATICS
NUMERICAL SOLUTION
SIMULATION
SPACE