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Modelling of the Vortex-Induced Motion of A Single-Column Platform with Non-Linear Mooring Stiffness Using the Coupled Wake Oscillators

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Abstract

A phenomenological model for predicting the vortex-induced motion (VIM) of a single-column platform with nonlinear stiffness has been proposed. The VIM model is based on the couple of the Duffing-van der Pol oscillators and the motion equations with non-linear terms. The model with liner stiffness is presented for comparison and their results are compared with the experiments in order to calibrate the model. The computed results show that the predicted VIM amplitudes and periods of oscillation are in qualitative agreements with the experimental data. Compared with the results with linear stiffness, it is found that the application of non-linear stiffness causes the significant reductions in the in-line and transverse motion amplitudes. Under the non-linear stiffness constraint, the lock-in behavior is still identified at 8<Ur<15, and the trajectories of the VIM on the xy plane with eight-figure patterns are maintained. The results with different non-linear geometrically parameters show that both in-line and transverse non-linear characteristics can significantly affect the predict in-line and transverse motion amplitudes. Furthermore, the computed results for different aspect ratios indicate that the in-line and transverse motion amplitudes increase with the growth of aspect ratio, and the range of lock-in region is enlarged for the large aspect ratio.

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Authors and Affiliations

  1. State Key Laboratory of Ocean Engineering, School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    **ao-feng Hu, **n-shu Zhang, Yun-xiang You & **-long Duan

  2. Collaborative Innovation Center for Advanced Ship and Deep-Sea Exploration (CISSE), School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai, 200240, China

    **ao-feng Hu, **n-shu Zhang, Yun-xiang You & **-long Duan

Authors
  1. **ao-feng Hu
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  2. **n-shu Zhang
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  3. Yun-xiang You
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  4. **-long Duan
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Correspondence to **n-shu Zhang.

Additional information

Foundation item: The project was supported by the National Natural Science Foundation of China (Grant No. 51679138), the 1000 Young Talent Program (Grant No. 15Z127060020) and the National Basic Research Program of China (973 Program, Grant Nos. 2015CB251203 and 2013CB036103).

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Hu, Xf., Zhang, Xs., You, Yx. et al. Modelling of the Vortex-Induced Motion of A Single-Column Platform with Non-Linear Mooring Stiffness Using the Coupled Wake Oscillators. China Ocean Eng 33, 459–467 (2019). https://doi.org/10.1007/s13344-019-0043-3

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  • DOI: https://doi.org/10.1007/s13344-019-0043-3

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