Calculation of Wave Force and Dynamic Response Analysis of Offshore Platforms based on the radial basis function

Shu Zhongyi; Xu Jiqing; Wang Dengting

Article Contents

Article Navigation > Haiyang Xuebao > 2024 > Accepted Manuscript

Shu Zhongyi，Xu Jiqing，Wang Dengting. Calculation of Wave Force and Dynamic Response Analysis of Offshore Platforms based on the radial basis function[J]. Haiyang Xuebao，2024, 46(x)：1–8

Citation:

Shu Zhongyi，Xu Jiqing，Wang Dengting. Calculation of Wave Force and Dynamic Response Analysis of Offshore Platforms based on the radial basis function[J]. Haiyang Xuebao，2024, 46(x)：1–8

Citation:

Shu Zhongyi，Xu Jiqing，Wang Dengting. Calculation of Wave Force and Dynamic Response Analysis of Offshore Platforms based on the radial basis function[J]. Haiyang Xuebao，2024, 46(x)：1–8

PDF( 1060 KB)

Calculation of Wave Force and Dynamic Response Analysis of Offshore Platforms based on the radial basis function

Shu Zhongyi^1
,,
Xu Jiqing^{2, 3
,
,},
Wang Dengting¹

1.
Nanjing Hydraulic Research Institute, NanJing 210024, China
2.
Chongqing Jiaotong University, Chongqing 400000, China
3.
Key Laboratory of Water Resources and Water Transport Engineering, Ministry of Education, Technical Research Center for National Inland Waterway Regulation Engineering, Chongqing 400000, China

Received Date: 2024-07-21
Available Online: 2024-10-18

Abstract

Abstract

In engineering practice, the Morison equation is commonly used to calculate wave loads on slender structures. Traditionally, the Morison equation for wave force calculation is often simplified, assuming the pile as a rigid body and neglecting the elastic deformation of the pile. By employing the Radial Basis Function (RBF), a mesh-free method, this study simultaneously solves the Morison equation, which considers pile elastic deformation, and the dynamic balance equation. This approach obtains the wave force and dynamic response of a single pile under wave load, and compares the results with those from standard methods and previous literature to validate its accuracy. Applying this method to actual engineering cases reveals the dynamic response of the working platform under the most unfavorable conditions. The RBF method is computationally straightforward and easy to master, making it suitable for practical engineering applications and providing a new direction for the calculation of offshore structures in the future.
- radial basis function,
- nonlinear equation,
- Morison equation,
- the dynamic balance equation,
- emergency degree

FullText(HTML)

References(13)

References

[1]	张力伟, 李昕, 赵颖华. 基于CFD的小尺度桩柱流固耦合分析及波浪力求解[J]. 大连理工大学学报, 2017, 57(6): 615−621. Zhang Liwei, Li Xin, Zhao Yinghua. FSI analysis of small scale pile and solution of wave force using CFD method[J]. Journal of Dalian University of Technology, 2017, 57(6): 615−621.
[2]	张学志, 黄维平, 李华军. 考虑流固耦合时的海洋平台结构非线性动力分析[J]. 中国海洋大学学报, 2005, 35(5): 823−826. Zhang Xuezhi, Huang Weiping, Li Huajun. Nonlinear dynamic analysis of offshore platform considering fluid-structure interaction[J]. Periodical of Ocean University of China, 2005, 35(5): 823−826.
[3]	钱若军, 董石麟, 袁行飞. 流固耦合理论研究进展[J]. 空间结构, 2008, 14(1): 3−15. Qian Ruojun, Dong Shilin, Yuan Xingfei. Advances in research on fluid-structure interaction theory[J]. Spatial Structures, 2008, 14(1): 3−15.
[4]	戴澍, 解德. 基于ABAQUS的小尺度桩柱波浪力计算方法[J]. 固体力学学报, 2011, 32(S1): 288−295. Dai Shu, Xie De. An approach for computation of wave load on small dimension pile foundation based on ABAQUS[J]. Chinese Journal of Solid Mechanics, 2011, 32(S1): 288−295.
[5]	. 王树青, 梁丙臣. 海洋工程波浪力学[M]. 青岛: 中国海洋大学出版社, 2013. Wang Shuqing, Liang Bingchen. Wave Mechanics for Ocean Engineering[M]. Qingdao: China Ocean University Press, 2013.
[6]	. 谈开孚, 赵永凯, 郭小弟. 谈加加速度[J]. 力学与实践, 1988, 10(5): 46−51. Tan Kaifu, Zhao Yongkai, Guo Xiaodi. Talk about the jerk[J]. Mechanics in Engineering, 1988, 10(5): 46−51. (查阅网上资料, 未找到本条文献的英文信息, 请确认)
[7]	. 陈文, 傅卓佳, 魏星. 科学与工程计算中的径向基函数方法[M]. 北京: 科学出版社, 2014. Chen Wen, Fu Zhuojia, Wei Xing. Radial Base Function Methods in Science and Engineering Calculation[M]. Beijing: Science Press, 2014. (查阅网上资料, 未找到本条文献的英文信息, 请确认)
[8]	Wendland H. Piecewise polynomial, positive definite and compactly supported radial functions of minimal degree[J]. Advances in Computational Mathematics, 1995, 4(1): 389−396.
[9]	Wu Zongmin. Compactly supported positive definite radial functions[J]. Advances in Computational Mathematics, 1995, 4(1): 283−292.
[10]	李岩汀, 许锡宾, 周世良, 等. 基于径向基函数逼近的非线性动力系统数值求解[J]. 应用数学和力学, 2016, 37(3): 311−318. Li Yanting, Xu Xibin, Zhou Shiliang, et al. A numerical approximation method for nonlinear dynamic systems based on radial basis functions[J]. Applied Mathematics and Mechanics, 2016, 37(3): 311−318.
[11]	. 李岩汀. 基于径向基函数逼近理论的结构动力响应灵敏度研究[D]. 重庆: 重庆交通大学, 2018. Li Yanting. Study on structural dynamic response sensitivity using the approximation theory of radial basis functions[D]. Chongqing: Chongqing Jiaotong University, 2018.
[12]	左其华. 方形墩柱上的非线性波浪荷载[J]. 海洋工程, 1993, 11(1): 50−58. Zuo Qihua. Nonliner wave loads on a square cylinder[J]. The Ocean Engineering, 1993, 11(1): 50−58.
[13]	. Mogridge G R A J. A design method for estimating wave loads on square caissons[R]. National Research Council of Can, 1976, Rept. No. LTR: 57. (查阅网上资料, 未找到本条文献, 请确认)