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Amplitude death of a multi-module floating airport

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Abstract

In this paper, the nonlinear dynamics of a multi-module floating airport is studied. The floating airport consists of a number of floating modules serially coupled by flexible connectors. A non-autonomous network model is proposed with a new feature of piecewise nonlinear coupling. The investigation focuses on the onset of the phenomenon of amplitude death that corresponds to the oscillation suppression of the floating structure in waves. Parametric domains of the coupling strengths are analyzed for the amplitude death, and the underlying mechanism is further discussed. The transitions among different dynamic patterns are illustrated. Various types of collective behaviors in the network can be observed, such as complete synchronization, generalized lag synchronization, and phase-locking phenomenon. The amplitude death behavior is considerably valuable in providing theoretical guidelines for the safety design of very large floating structures.

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Acknowledgments

This research work was supported by the 973 research Grant (2013CB036104), the National Natural Science Foundation of China (11072075, 11472100), and the research Grant (50970002) from the State Key Lab of Advanced Design and Manufacturing for Vehicle Body.

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Authors and Affiliations

  1. State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, China

    Haicheng Zhang, Daolin Xu & Chao Lu

  2. China Ship Scientific Research Center, Wuxi, China

    Enrong Qi, Jiajun Hu & Youshen Wu

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  1. Haicheng Zhang
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  2. Daolin Xu
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  3. Chao Lu
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  4. Enrong Qi
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  5. Jiajun Hu
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  6. Youshen Wu
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Correspondence to Daolin Xu.

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Zhang, H., Xu, D., Lu, C. et al. Amplitude death of a multi-module floating airport. Nonlinear Dyn 79, 2385–2394 (2015). https://doi.org/10.1007/s11071-014-1819-x

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  • DOI: https://doi.org/10.1007/s11071-014-1819-x

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