### Abstract

In the paper, a simplified six degrees of freedom mathematical model encompassing calm water maneuvering and traditional seakeeping theories is developed to simulate the ship turning circle test in regular waves. A coordinate system called the horizontal body axes system is used to present equations of maneuvering motion in waves. All corresponding hydrodynamic forces and coefficients for seakeeping are time varying and calculated by strip theory. For simplification, the added mass and damping coefficients are calculated using the constant draft but vary with encounter frequency. The nonlinear mathematical model developed here is successful in simulating the turning circle of a containership in sea trial conditions and can be extended to make the further simulation for the ship maneuvering under control in waves.

Original language | English |
---|---|

Pages (from-to) | 69-79 |

Number of pages | 11 |

Journal | Journal of Ship Research |

Volume | 49 |

Issue number | 2 |

Publication status | Published - 2005 Jun 1 |

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### All Science Journal Classification (ASJC) codes

- Civil and Structural Engineering
- Numerical Analysis
- Ocean Engineering
- Mechanical Engineering
- Applied Mathematics

### Cite this

*Journal of Ship Research*,

*49*(2), 69-79.

}

*Journal of Ship Research*, vol. 49, no. 2, pp. 69-79.

**A nonlinear mathematical model for ship turning circle simulation in waves.** / Fang, Ming-Chung; Luo, Jhih Hong; Lee, Ming Ling.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A nonlinear mathematical model for ship turning circle simulation in waves

AU - Fang, Ming-Chung

AU - Luo, Jhih Hong

AU - Lee, Ming Ling

PY - 2005/6/1

Y1 - 2005/6/1

N2 - In the paper, a simplified six degrees of freedom mathematical model encompassing calm water maneuvering and traditional seakeeping theories is developed to simulate the ship turning circle test in regular waves. A coordinate system called the horizontal body axes system is used to present equations of maneuvering motion in waves. All corresponding hydrodynamic forces and coefficients for seakeeping are time varying and calculated by strip theory. For simplification, the added mass and damping coefficients are calculated using the constant draft but vary with encounter frequency. The nonlinear mathematical model developed here is successful in simulating the turning circle of a containership in sea trial conditions and can be extended to make the further simulation for the ship maneuvering under control in waves.

AB - In the paper, a simplified six degrees of freedom mathematical model encompassing calm water maneuvering and traditional seakeeping theories is developed to simulate the ship turning circle test in regular waves. A coordinate system called the horizontal body axes system is used to present equations of maneuvering motion in waves. All corresponding hydrodynamic forces and coefficients for seakeeping are time varying and calculated by strip theory. For simplification, the added mass and damping coefficients are calculated using the constant draft but vary with encounter frequency. The nonlinear mathematical model developed here is successful in simulating the turning circle of a containership in sea trial conditions and can be extended to make the further simulation for the ship maneuvering under control in waves.

UR - http://www.scopus.com/inward/record.url?scp=19644362374&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=19644362374&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:19644362374

VL - 49

SP - 69

EP - 79

JO - Journal of Ship Research

JF - Journal of Ship Research

SN - 0022-4502

IS - 2

ER -