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Effects of Second-Order Sum- and Difference-Frequency Wave Forces on the Motion Response of a Tension-Leg Platform Considering the Set-down Motion

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Abstract

This paper presents a study on the motion response of a tension-leg platform (TLP) under first- and second-order wave forces, including the mean-drift force, difference and sum-frequency forces. The second-order wave force is calculated using the full-field quadratic transfer function (QTF). The coupled effect of the horizontal motions, such as surge, sway and yaw motions, and the set-down motion are taken into consideration by the nonlinear restoring matrix. The time-domain analysis with 50-yr random sea state is performed. A comparison of the results of different case studies is made to assess the influence of second-order wave force on the motions of the platform. The analysis shows that the second-order wave force has a major impact on motions of the TLP. The second-order difference-frequency wave force has an obvious influence on the low-frequency motions of surge and sway, and also will induce a large set-down motion which is an important part of heave motion. Besides, the second-order sum-frequency force will induce a set of high-frequency motions of roll and pitch. However, little influence of second-order wave force is found on the yaw motion.

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Acknowledgements

The study is supported by the National Natural Science Foundation of China (Nos. 51239008 and 51279130).

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Authors and Affiliations

  1. State Key Laboratory of Hydraulic Engineering Simulation and Safety, Tianjin University, Tianjin, 300354, China

    Bin Wang, Yougang Tang, Yan Li & Runbo Cai

  2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration, Shanghai, 200240, China

    Bin Wang

Authors
  1. Bin Wang
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  2. Yougang Tang
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  3. Yan Li
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  4. Runbo Cai
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Correspondence to Yougang Tang.

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Wang, B., Tang, Y., Li, Y. et al. Effects of Second-Order Sum- and Difference-Frequency Wave Forces on the Motion Response of a Tension-Leg Platform Considering the Set-down Motion. J. Ocean Univ. China 17, 311–319 (2018). https://doi.org/10.1007/s11802-018-3364-6

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  • DOI: https://doi.org/10.1007/s11802-018-3364-6

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