Novel exact solution of elastic catenary and applications on floating wind turbine mooring systems

IF 1.3 4区工程技术 Q3 ENGINEERING, MECHANICAL

Journal of Offshore Mechanics and Arctic Engineering-Transactions of the Asme Pub Date : 2023-10-20 DOI:10.1115/1.4063852

Pengpeng Xu, Xing Chang, Yuan E. Liu

引用次数: 0

Abstract

Abstract This research addresses the mathematical solution of the elastic catenary, a fundamental problem in offshore mooring engineering. A novel exact solution in a non-Lagrangian form is developed through rigorous mathematical derivation, distinguishing it from classical Lagrangian solutions. The procedure is described in detail, and the resulting expressions are applied to analyze the mooring system of a reference floating turbine. A general analytical approach is introduced to solve the transcendental equations associated with catenary mooring problems. The newly derived formulae exhibit greater applicability to geometry-to-force problems compared to existing Lagrangian expressions, making them particularly valuable for conceptual design and front-end engineering. In summary, this work provides valuable new insights into the exact solution of the elastic catenary, enhancing understanding and enabling practical applications in the field of floating wind turbines.

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弹性悬链线的新精确解及其在浮式风力发电机系泊系统中的应用

摘要本文研究了弹性悬链线的数学解，这是海洋系泊工程中的一个基本问题。通过严格的数学推导，建立了一种新的非拉格朗日形式的精确解，区别于经典的拉格朗日解。详细介绍了计算过程，并将所得表达式应用于某参考浮式水轮机系泊系统分析。介绍了一种求解悬链线系泊问题的超越方程的一般解析方法。与现有的拉格朗日表达式相比，新导出的公式在几何力问题上表现出更强的适用性，使其在概念设计和前端工程中特别有价值。总之，这项工作为弹性悬链线的精确解提供了有价值的新见解，增强了对浮式风力涡轮机领域的理解并实现了实际应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Offshore Mechanics and Arctic Engineering-Transactions of the Asme 工程技术-工程：大洋

CiteScore

4.20

自引率

6.20%

发文量

审稿时长

6-12 weeks

期刊介绍： The Journal of Offshore Mechanics and Arctic Engineering is an international resource for original peer-reviewed research that advances the state of knowledge on all aspects of analysis, design, and technology development in ocean, offshore, arctic, and related fields. Its main goals are to provide a forum for timely and in-depth exchanges of scientific and technical information among researchers and engineers. It emphasizes fundamental research and development studies as well as review articles that offer either retrospective perspectives on well-established topics or exposures to innovative or novel developments. Case histories are not encouraged. The journal also documents significant developments in related fields and major accomplishments of renowned scientists by programming themed issues to record such events. Scope: Offshore Mechanics, Drilling Technology, Fixed and Floating Production Systems; Ocean Engineering, Hydrodynamics, and Ship Motions; Ocean Climate Statistics, Storms, Extremes, and Hurricanes; Structural Mechanics; Safety, Reliability, Risk Assessment, and Uncertainty Quantification; Riser Mechanics, Cable and Mooring Dynamics, Pipeline and Subsea Technology; Materials Engineering, Fatigue, Fracture, Welding Technology, Non-destructive Testing, Inspection Technologies, Corrosion Protection and Control; Fluid-structure Interaction, Computational Fluid Dynamics, Flow and Vortex-Induced Vibrations; Marine and Offshore Geotechnics, Soil Mechanics, Soil-pipeline Interaction; Ocean Renewable Energy; Ocean Space Utilization and Aquaculture Engineering; Petroleum Technology; Polar and Arctic Science and Technology, Ice Mechanics, Arctic Drilling and Exploration, Arctic Structures, Ice-structure and Ship Interaction, Permafrost Engineering, Arctic and Thermal Design.