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Investigation of linear wave action around a truncated cylinder with non-circular cross section

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Abstract

This paper presents an analytical model to solve the linear wave diffraction problem using a truncated cylinder with an arbitrary smooth cross section. Using the method of separation of variables, the boundary condition equations for the surface of a truncated cylinder are derived. Based on the condition that the radius function of a cylinder surface can be expanded into a Fourier series, the unknown coefficients of the diffraction potential can be obtained from a linear system equation. The surface elevation and wave force are calculated and analyzed in terms of the total velocity potential for different cases. The truncated error introduced in the solving process is discussed. Then, the accuracy of this method is verified by comparison with the results of the boundary element method. Finally, this method is further extended to a practical engineering application with a quasi-ellipse caisson for different drafts and exposures.

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Acknowledgements

Financial support from the National Natural Science Foundation of China (51725801) is greatly appreciated by the authors.

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Authors and Affiliations

  1. Key Lab of Structures Dynamic Behavior and Control of the Ministry of Education, Harbin Institute of Technology, Harbin, 150090, China

    Jiabin Liu, Anxin Guo, Qinghe Fang & Hui Li

  2. Key Lab of Smart Prevention and Mitigation of Civil Engineering Disasters of the Ministry of Industry and Information Technology, Harbin Institute of Technology, Harbin, 150090, China

    Jiabin Liu, Anxin Guo, Qinghe Fang & Hui Li

  3. Department of Aerospace Engineering, Iowa State University, Ames, IA, 50011, USA

    Hui Hu

  4. China Railway Bridge Science Research Institute, Ltd, Wuhan, 430034, China

    Pengfei Liu

Authors
  1. Jiabin Liu
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  2. Anxin Guo
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  3. Qinghe Fang
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  4. Hui Li
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  5. Hui Hu
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  6. Pengfei Liu
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Correspondence to Anxin Guo.

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Liu, J., Guo, A., Fang, Q. et al. Investigation of linear wave action around a truncated cylinder with non-circular cross section. J Mar Sci Technol 23, 866–876 (2018). https://doi.org/10.1007/s00773-017-0516-0

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  • DOI: https://doi.org/10.1007/s00773-017-0516-0

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