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Theoretical estimation of roll acceleration in beam seas using PDF line integral method

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Abstract

The prevention of excessive roll acceleration is one of the fundamental requirements of an oceangoing vessel at sea. In this paper, aiming at this requirement, we propose a new theoretical method for calculating roll angular acceleration, called “PDF line integral method.”. This paper presents the derivation of this method and a numerical comparison with Monte Carlo simulation (MCS) results; also, its validity is shown. Although the utilized GZ curve (restoring curve) exhibits strong asymmetricity, the proposed method can provide for such a condition. With only the information of roll and roll rate joint probability density function (PDF), this method can approximately calculate the roll angular acceleration, which is a high-order differential property. In addition, a relatively good agreement is achieved between the theory and MCS results.

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Acknowledgements

We are grateful to Dr. Munehiko Minoura of Osaka University and Prof. Toru Katayama of Osaka Prefecture University for their technical advices and discussions. This work was supported by a Grant-in-Aid for Scientific Research from the Japan Society for Promotion of Science (JSPS KAKENHI Grant Number 19H02360) as well as the collaborative research program / financial support from the Japan Society of Naval Architects and Ocean Engineers. Further, part of the research was conducted as a collaborative research with ClassNK. We would also like to thank Enago (www.enago.jp) for the English language review.

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Authors and Affiliations

  1. Department of Naval Architecture and Ocean Engineering, Graduate School of Engineering, Osaka University, 2-1 Yamadaoka, Suita, Osaka, 565-0971, Japan

    Atsuo Maki, Yuuki Maruyama, Masahiro Sakai & Naoya Umeda

  2. Institute of Mechanics and Ocean Engineering, Hamburg University of Technology, 21043, Hamburg, Germany

    Leo Dostal

  3. Hull Rules Development Department, Class NK, 3-3, Kioi-cho, Chiyoda-ku, Tokyo, 102-0094, Japan

    Kei Sugimoto & Yusuke Fukumoto

Authors
  1. Atsuo Maki
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  2. Leo Dostal
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  3. Yuuki Maruyama
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  4. Masahiro Sakai
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  5. Kei Sugimoto
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  6. Yusuke Fukumoto
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  7. Naoya Umeda
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Correspondence to Atsuo Maki.

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Maki, A., Dostal, L., Maruyama, Y. et al. Theoretical estimation of roll acceleration in beam seas using PDF line integral method. J Mar Sci Technol 26, 828–834 (2021). https://doi.org/10.1007/s00773-020-00770-1

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  • DOI: https://doi.org/10.1007/s00773-020-00770-1

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