An optimization-based approach for static analysis of multi-segment mooring lines with clump weights
Email:
hoanpq.ctt@vimaru.edu.vn
Từ khóa:
Mooring line, Floating structure, Calculation method, Optimization, Particle Swarm Optimization (PSO) and Genetic Algorithm (GA)
Tóm tắt
Static configuration analysis of multi-segment mooring systems equipped with clump weights poses a significant computational challenge due to the high non-linearity and sensitivity of the governing equations. This study proposes an optimization-based approach to determine the equilibrium shape of mooring lines, bypassing the limitations of traditional trial-and-error or simplified analytical methods. By incorporating the fundamental catenary equations with force balance and displacement continuity conditions into the objective function, the problem is reformulated as a search for the optimal inclination angle at the lower point of each segment. Two metaheuristic algorithms, Particle Swarm Optimization (PSO) and Genetic Algorithm (GA), are implemented to solve the system of equations. Results demonstrate that the proposed method achieves high accuracy when validated against Finite Element Analysis (FEA), yielding negligible discrepancies (maximum error of 0.3% for inclination angles and 0.0% for mooring tensions). The study highlights that PSO exhibits superior convergence speed and stability compared to GA, particularly in complex configurations involving multiple clump weights.Tài liệu tham khảo
[1]. Shengjie Rui et al. (2024), A review on mooring lines and anchors of floating marine structures, Renewable and Sustainable Energy Reviews, 199, 114547, https://doi.org/10.1016/j.rser.2024.114547
[2]. H. O. Berteaux (1976), Buoy Engineering (Ocean Engineering; a Wiley Series). John Wiley and Sons.
[3]. Kai-Tung Ma, Yong Luo, Thomas Kwan, and Yongyan Wu (2019), "Chapter 9 - Hardware-off-vessel components," in Mooring System Engineering for Offshore Structures, K.-T. Ma, Y. Luo, T. Kwan, and Y. Wu Eds.: Gulf Professional Publishing, pp. 175-198.
[4]. Kai-Tung Ma, Yong Luo, Thomas Kwan, and Yongyan Wu (2019), "Chapter 5 - Mooring analysis," in Mooring System Engineering for Offshore Structures, K.-T. Ma, Y. Luo, T. Kwan, and Y. Wu Eds.: Gulf Professional Publishing, pp. 85-114.
[5]. Zhenqing Liu, Yuangang Tu, Wei Wang, and Guowei Qian (2019), Numerical Analysis of a Catenary Mooring System Attached by Clump Masses for Improving the Wave-Resistance Ability of a Spar Buoy-Type Floating Offshore Wind Turbine, Applied Sciences, 9(6), https://doi.org/10.3390/app9061075
[6]. Chiemela Victor Amaechi, Agbomerie Charles Odijie, Facheng Wang, and Jianqiao Ye (2022), Numerical investigation on mooring line configurations of a Paired Column Semisubmersible for its global performance in deep water condition, Ocean Engineering, 250, 110572, https://doi.org/10.1016/j.oceaneng.2022.110572
[7]. Jiawen Li, Hongli Zuo, Jingjing Zuo, Yichen Jiang, and Shi Liu (2024), Study on the mooring systems attaching clump weights and heavy chains for improving the typhoon resistance of floating offshore wind turbines, Ocean Engineering, 311, 118734, https://doi.org/10.1016/j.oceaneng.2024.118734
[8]. Tomas Lopez-Olocco et al., "Experimental and Numerical Study of the Influence of Clumped Weights on a Scaled Mooring Line," Journal of Marine Science and Engineering, vol. 10, no. 5, https://doi.org/10.3390/jmse10050676
[9]. Pham Quoc Hoan and Doan Dac Thanh (2025), Study on the calculation of mooring line with clump weights for a floating structure using nonlinear analysis in sap2000, TNU Journal of Science and Technology, 230(10), 392-398, https://doi.org/10.34238/tnu-jst.12634
[10]. Mehdi Shafieefar and Aidin Rezvani (2007), Mooring optimization of floating platforms using a genetic algorithm, Ocean Engineering, 34(10), 1413-1421, https://doi.org/10.1016/j.oceaneng.2006.10.005
[11]. Sam Ryu, Arun S. Duggal, Caspar N. Heyl, and Zong Woo Geem, "Mooring Cost Optimization via Harmony Search," presented at the ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering, San Diego, California, USA, 2007. [Online]. Available: https://doi.org/10.1115/OMAE2007-29334
[12]. Bruno da Fonseca Monteiro, Mauro Henrique Alves de Lima Junior, Carl Horst Albrecht, Beatriz de Souza Leite Pires de Lima, and Breno Pinheiro Jacob, "Mooring Optimization of Offshore Floating Systems Using an Improved Particle Swarm Optimization Method," presented at the International Conference on Offshore Mechanics and Arctic Engineering, Nantes, France, 2013. [Online]. Available: https://doi.org/10.1115/OMAE2013-11096
[13]. Bruno da Fonseca Monteiro, Juliana Souza Baioco, Carl Horst Albrecht, Beatriz Souza Leite Pires de Lima, and Breno Pinheiro Jacob (2021), Optimization of mooring systems in the context of an integrated design methodology, Marine Structures, 75, 102874, https://doi.org/10.1016/j.marstruc.2020.102874
[14]. O. A. Montasir, A. Yenduri, and V. J. Kurian (2019), Mooring System Optimisation and Effect of Different Line Design Variables on Motions of Truss Spar Platforms in Intact and Damaged Conditions, China Ocean Engineering, 33(4), 385-397, https://doi.org/10.1007/s13344-019-0037-1
[15]. Idris Ahmed Ja'e, Montasir Osman Ahmed Ali, Anurag Yenduri, Chiemela Victor Amaechi, Zafarullah Nizamani, and Akihiko Nakayama (2022), Optimization of mooring line design parameters using Mooring Optimization Tool for FPSO (MooOpT4FPSO) with the consideration of integrated design methodology, Ocean Engineering, 264, 112499, https://doi.org/10.1016/j.oceaneng.2022.112499
[2]. H. O. Berteaux (1976), Buoy Engineering (Ocean Engineering; a Wiley Series). John Wiley and Sons.
[3]. Kai-Tung Ma, Yong Luo, Thomas Kwan, and Yongyan Wu (2019), "Chapter 9 - Hardware-off-vessel components," in Mooring System Engineering for Offshore Structures, K.-T. Ma, Y. Luo, T. Kwan, and Y. Wu Eds.: Gulf Professional Publishing, pp. 175-198.
[4]. Kai-Tung Ma, Yong Luo, Thomas Kwan, and Yongyan Wu (2019), "Chapter 5 - Mooring analysis," in Mooring System Engineering for Offshore Structures, K.-T. Ma, Y. Luo, T. Kwan, and Y. Wu Eds.: Gulf Professional Publishing, pp. 85-114.
[5]. Zhenqing Liu, Yuangang Tu, Wei Wang, and Guowei Qian (2019), Numerical Analysis of a Catenary Mooring System Attached by Clump Masses for Improving the Wave-Resistance Ability of a Spar Buoy-Type Floating Offshore Wind Turbine, Applied Sciences, 9(6), https://doi.org/10.3390/app9061075
[6]. Chiemela Victor Amaechi, Agbomerie Charles Odijie, Facheng Wang, and Jianqiao Ye (2022), Numerical investigation on mooring line configurations of a Paired Column Semisubmersible for its global performance in deep water condition, Ocean Engineering, 250, 110572, https://doi.org/10.1016/j.oceaneng.2022.110572
[7]. Jiawen Li, Hongli Zuo, Jingjing Zuo, Yichen Jiang, and Shi Liu (2024), Study on the mooring systems attaching clump weights and heavy chains for improving the typhoon resistance of floating offshore wind turbines, Ocean Engineering, 311, 118734, https://doi.org/10.1016/j.oceaneng.2024.118734
[8]. Tomas Lopez-Olocco et al., "Experimental and Numerical Study of the Influence of Clumped Weights on a Scaled Mooring Line," Journal of Marine Science and Engineering, vol. 10, no. 5, https://doi.org/10.3390/jmse10050676
[9]. Pham Quoc Hoan and Doan Dac Thanh (2025), Study on the calculation of mooring line with clump weights for a floating structure using nonlinear analysis in sap2000, TNU Journal of Science and Technology, 230(10), 392-398, https://doi.org/10.34238/tnu-jst.12634
[10]. Mehdi Shafieefar and Aidin Rezvani (2007), Mooring optimization of floating platforms using a genetic algorithm, Ocean Engineering, 34(10), 1413-1421, https://doi.org/10.1016/j.oceaneng.2006.10.005
[11]. Sam Ryu, Arun S. Duggal, Caspar N. Heyl, and Zong Woo Geem, "Mooring Cost Optimization via Harmony Search," presented at the ASME 2007 26th International Conference on Offshore Mechanics and Arctic Engineering, San Diego, California, USA, 2007. [Online]. Available: https://doi.org/10.1115/OMAE2007-29334
[12]. Bruno da Fonseca Monteiro, Mauro Henrique Alves de Lima Junior, Carl Horst Albrecht, Beatriz de Souza Leite Pires de Lima, and Breno Pinheiro Jacob, "Mooring Optimization of Offshore Floating Systems Using an Improved Particle Swarm Optimization Method," presented at the International Conference on Offshore Mechanics and Arctic Engineering, Nantes, France, 2013. [Online]. Available: https://doi.org/10.1115/OMAE2013-11096
[13]. Bruno da Fonseca Monteiro, Juliana Souza Baioco, Carl Horst Albrecht, Beatriz Souza Leite Pires de Lima, and Breno Pinheiro Jacob (2021), Optimization of mooring systems in the context of an integrated design methodology, Marine Structures, 75, 102874, https://doi.org/10.1016/j.marstruc.2020.102874
[14]. O. A. Montasir, A. Yenduri, and V. J. Kurian (2019), Mooring System Optimisation and Effect of Different Line Design Variables on Motions of Truss Spar Platforms in Intact and Damaged Conditions, China Ocean Engineering, 33(4), 385-397, https://doi.org/10.1007/s13344-019-0037-1
[15]. Idris Ahmed Ja'e, Montasir Osman Ahmed Ali, Anurag Yenduri, Chiemela Victor Amaechi, Zafarullah Nizamani, and Akihiko Nakayama (2022), Optimization of mooring line design parameters using Mooring Optimization Tool for FPSO (MooOpT4FPSO) with the consideration of integrated design methodology, Ocean Engineering, 264, 112499, https://doi.org/10.1016/j.oceaneng.2022.112499
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Nhận bài
19/12/2025
Nhận bài sửa
27/10/2026
Chấp nhận đăng
03/11/2026
Xuất bản
15/11/2026
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Kiểu trích dẫn
Quoc Hoan, P. (1794675600). An optimization-based approach for static analysis of multi-segment mooring lines with clump weights. Tạp Chí Khoa Học Giao Thông Vận Tải, 77(9), 1128-1137. https://doi.org/10.47869/tcsj.77.9.1
