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Theoretical determination of roll angular jerk of ships in irregular beam seas using PDF line integral method

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Abstract

The time derivative of acceleration is called a jerk, which is an important property to evaluate ride comfort in elevators, cars, and so on. Likewise, evaluation of motion sickness or ride comfort on a vessel could be achieved by this jerk property in the future. In this paper, we utilize the PDF Line Integral Method (PLIM), which was newly contrived in our previous research, for calculating not only roll angular acceleration but also roll angular jerk. The derivation of this theory, as well as numerical comparison with Monte Carlo simulation (MCS) results, are presented. Although the utilized restoring curve (GZ curve) exhibits strong asymmetricity, the proposed method successfully calculates roll angular jerk for such a condition. Since roll angular jerk is a high-order differential property, the biggest advantage of PLIM is that it only requires the information of roll and roll rate joint probability density function (PDF) to provide the PDF of jerk.

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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 advice 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 collaborative research with ClassNK.

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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

  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

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  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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Correspondence to Atsuo Maki.

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Maki, A., Dostal, L., Maruyama, Y. et al. Theoretical determination of roll angular jerk of ships in irregular beam seas using PDF line integral method. J Mar Sci Technol 27, 163–172 (2022). https://doi.org/10.1007/s00773-021-00823-z

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  • DOI: https://doi.org/10.1007/s00773-021-00823-z

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