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Parametric roll of container ships in head waves

  • Moideen, Hisham (Department of Ocean Engineering, Texas A&M University) ;
  • Falzarano, Jeffrey M. (Department of Ocean Engineering, Texas A&M University) ;
  • Sharma, S.Abhilash (Department of Ocean Engineering, Texas A&M University)
  • 투고 : 2012.06.07
  • 심사 : 2012.11.01
  • 발행 : 2012.12.25

초록

Analysis of ship parametric roll has generally been restricted to simple analytical models and sophisticated time domain simulations. Simple analytical models do not capture all the critical dynamics while time-domain simulations are often time consuming to implement. The model presented in this paper captures the essential dynamics of the system without over simplification. This work incorporates various important aspects of the system and assesses the significance of including or ignoring these aspects. Special consideration is given to the fact that a hull form asymmetric about the design waterline would not lead to a perfectly harmonic variation in metacentric height. Many of the previous works on parametric roll make the assumption of linearized and harmonic behaviour of the time-varying restoring arm or metacentric height. This assumption enables modelling the roll motion as a Mathieu equation. This paper provides a critical assessment of this assumption and suggests modelling the roll motion as a Hills equation. Also the effects of non-linear damping are included to evaluate its effect on the bounded parametric roll amplitude in a simplified manner.

키워드

참고문헌

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피인용 문헌

  1. Volterra approach – a new method to accurately calculate the non-linear and time-varying roll restoring arm of ships in irregular longitudinal seas vol.13, pp.4, 2018, https://doi.org/10.1080/17445302.2017.1409457
  2. Large-amplitude time-domain simulation tool for marine and offshore motion prediction 2015, https://doi.org/10.1007/s40868-015-0002-7
  3. Critical assessment of reverse-MISO techniques for system identification of coupled roll motion of ships vol.22, pp.2, 2017, https://doi.org/10.1007/s00773-016-0406-x
  4. Application of advanced system identification technique to extract roll damping from model tests in order to accurately predict roll motions vol.67, 2017, https://doi.org/10.1016/j.apor.2017.07.007
  5. A Comparative Assessment of Simplified Models for Simulating Parametric Roll vol.139, pp.2, 2017, https://doi.org/10.1115/1.4034921
  6. An overview of the prediction methods for roll damping of ships vol.5, pp.2, 2015, https://doi.org/10.12989/ose.2015.5.2.055
  7. Parametric roll vulnerability of ships using Markov and Melnikov approaches vol.97, pp.4, 2012, https://doi.org/10.1007/s11071-019-05090-7