Cooper Dynamics and Control - Seven Degrees-of-Freedom Model for the Roll Stabilization of Unstable Ships

Abstract

As demonstrated by the 2014 MV Sewol incident, the prevention of top heavy ship capsize is necessary to protect life and property aboard a ship. The goal of this paper is to prevent the capsize of ships, which lack a restoring torque about the roll axis, by using a feedback-controlled pendulum actuator. A seven degrees-of-freedom (7DOF) model is developed for a ship equipped with a pendulum actuator. The model is used to conduct parameter analyses on the pendulum length, pendulum mast height, pendulum mass, ship center of mass (COM) height, and the pendulum controller’s proportional feedback gain. The results of these analyses are depicted via time responses and phase plots. Key points for designing a pendulum actuator summarize simulation results, stating that the pendulum mass should be 3–7% of the total ship mass, and the pendulum moment of inertia should be 0.5–1.0 times the roll moment of inertia of the ship.

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Citation

BibTeX citation:

@article{shekhtman,  dirk m. luchtenburg2019,
  author = {Shekhtman, Dirk M. Luchtenburg, David},
  title = {Seven {Degrees-of-Freedom} {Model} for the {Roll}
    {Stabilization} of {Unstable} {Ships}},
  journal = {ASME JDSMC 2019},
  date = {2019-03-25},
  url = {https://dluchten.github.io/publications/shekhtman2019asme},
  doi = {10.1115/1.4042950},
  langid = {en},
  abstract = {As demonstrated by the 2014 MV Sewol incident, the
    prevention of top heavy ship capsize is necessary to protect life
    and property aboard a ship. The goal of this paper is to prevent the
    capsize of ships, which lack a restoring torque about the roll axis,
    by using a feedback-controlled pendulum actuator. A seven
    degrees-of-freedom (7DOF) model is developed for a ship equipped
    with a pendulum actuator. The model is used to conduct parameter
    analyses on the pendulum length, pendulum mast height, pendulum
    mass, ship center of mass (COM) height, and the pendulum
    controller’s proportional feedback gain. The results of these
    analyses are depicted via time responses and phase plots. Key points
    for designing a pendulum actuator summarize simulation results,
    stating that the pendulum mass should be 3–7\% of the total ship
    mass, and the pendulum moment of inertia should be 0.5–1.0 times the
    roll moment of inertia of the ship.}
}

For attribution, please cite this work as:

Shekhtman, Dirk M. Luchtenburg, David. 2019. “Seven Degrees-of-Freedom Model for the Roll Stabilization of Unstable Ships.” ASME JDSMC 2019, March. https://doi.org/10.1115/1.4042950.