Linear analysis of the dynamic response of a riser subject to internal solitary waves

doi:10.1007/s10483-023-3006-9

Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (6): 1023-1034.doi: https://doi.org/10.1007/s10483-023-3006-9

• 论文 • 上一篇

Linear analysis of the dynamic response of a riser subject to internal solitary waves

Dalin TAN^1,2, Xu WANG¹, Jinlong DUAN¹, Jifu ZHOU^1,3

1. Key laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. Beijing Electro-Mechanical Engineering Institute, Beijing 100074, China;
3. School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

收稿日期:2022-11-01 修回日期:2023-04-21 出版日期:2023-06-01 发布日期:2023-05-29
通讯作者: Xu WANG, E-mail: wangxu@imech.ac.cn
基金资助:
the National Natural Science Foundation of China (Nos. 12132018, 11972352, and 12202455) and the Strategic Priority Research Program of the Chinese Academy of Sciences of China (No. XDA22000000)

Linear analysis of the dynamic response of a riser subject to internal solitary waves

Dalin TAN^1,2, Xu WANG¹, Jinlong DUAN¹, Jifu ZHOU^1,3

1. Key laboratory for Mechanics in Fluid Solid Coupling Systems, Institute of Mechanics, Chinese Academy of Sciences, Beijing 100190, China;
2. Beijing Electro-Mechanical Engineering Institute, Beijing 100074, China;
3. School of Engineering Sciences, University of Chinese Academy of Sciences, Beijing 100049, China

Received:2022-11-01 Revised:2023-04-21 Online:2023-06-01 Published:2023-05-29
Contact: Xu WANG, E-mail: wangxu@imech.ac.cn
Supported by:
the National Natural Science Foundation of China (Nos. 12132018, 11972352, and 12202455) and the Strategic Priority Research Program of the Chinese Academy of Sciences of China (No. XDA22000000)

摘要/Abstract

摘要： The flow field induced by internal solitary waves (ISWs) is peculiar wherein water motion occurs in the whole water depth, and the strong shear near the pycnocline can be generated due to the opposite flow direction between the upper and lower layers, which is a potential threat to marine risers. In this paper, the flow field of ISWs is obtained with the Korteweg-de Vries (KdV) equation for a two-layer fluid system. Then, a linear analysis is performed for the dynamic response of a riser with its two ends simply supported under the action of ISWs. The explicit expressions of the deflection and the moment of the riser are deduced based on the modal superposition method. The applicable conditions of the theoretical expressions are discussed. Through comparisons with the finite element simulations for nonlinear dynamic responses, it is proved that the theoretical expressions can roughly reveal the nonlinear dynamic response of risers under ISWs when the approximation for the linear analysis is relaxed to some extent.

关键词: internal solitary wave (ISW), riser, dynamic response, linear analysis

Abstract: The flow field induced by internal solitary waves (ISWs) is peculiar wherein water motion occurs in the whole water depth, and the strong shear near the pycnocline can be generated due to the opposite flow direction between the upper and lower layers, which is a potential threat to marine risers. In this paper, the flow field of ISWs is obtained with the Korteweg-de Vries (KdV) equation for a two-layer fluid system. Then, a linear analysis is performed for the dynamic response of a riser with its two ends simply supported under the action of ISWs. The explicit expressions of the deflection and the moment of the riser are deduced based on the modal superposition method. The applicable conditions of the theoretical expressions are discussed. Through comparisons with the finite element simulations for nonlinear dynamic responses, it is proved that the theoretical expressions can roughly reveal the nonlinear dynamic response of risers under ISWs when the approximation for the linear analysis is relaxed to some extent.

Key words: internal solitary wave (ISW), riser, dynamic response, linear analysis

中图分类号:

74F10

Dalin TAN, Xu WANG, Jinlong DUAN, Jifu ZHOU. Linear analysis of the dynamic response of a riser subject to internal solitary waves[J]. Applied Mathematics and Mechanics (English Edition), 2023, 44(6): 1023-1034.

参考文献

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Linear analysis of the dynamic response of a riser subject to internal solitary waves

Linear analysis of the dynamic response of a riser subject to internal solitary waves

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