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Experimental and numerical study on motion instability of modular floating structures

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Abstract

The parametric resonance, found in a single floating body, discloses that the kinetic energy could be transferred from heave mode to roll mode and causes motion instability if there is an integer multiple relationship between the two mode natural frequencies. For multi-module floating structures, the event of parametric resonance has not been investigated, but important for the stability and safety design of the floating platforms. In this paper, an experimental test is carried out using five box-type floating modules in a wave flume and observes the existence of the parametric resonance between the heave mode and roll mode. A mathematical model, validated by the experiment data, is built up for the theoretical analysis of the influential factors of the parametric resonance. The effects on the motion instability of wave condition, connector stiffness and number of modules are analyzed. It reveals that an appropriate stiffness setting of the connectors could eliminate the parametric resonance of multi-module floating structures. This theoretical finding is confirmed in a further experiment test on a five-module floating structure in the wave flume.

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Funding

This research work was supported by the National Natural Science Foundation of China (Grant No. 52071138), the Natural Science Foundation of Hunan Province (Grant No 2022JJ30120) and the High-tech Ship Research Projects Sponsored by the Ministry of Industry and Information Technology (Grant No. [2019]357).

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Authors and Affiliations

  1. College of Mechanical and Vehicle Engineering, Hunan University, Changsha, 410082, People’s Republic of China

    Rui Ding, Haicheng Zhang, Daolin Xu, Qijia Shi & Weisheng Zou

  2. College of Aerospace Science and Engineering, National University of Defense Technology, Changsha, 410073, People’s Republic of China

    Rui Ding

  3. Xiamen University of Technology, Xiamen, 361024, People’s Republic of China

    Chunrong Liu

  4. China Ship Scientific Research Center, Wuxi, 214082, People’s Republic of China

    Jiarui Liu & Yousheng Wu

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  1. Rui Ding
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Contributions

RD, HZ and DX participated in the design of experiment and the data analysis. RD carried out the wave flume experiment, the data acquisition, the numerical analysis and the manuscript editing. HZ and DX performed the manuscript review. CL and QS helped in conducting the experiment. WZ, JL and YW contributed in the conception and design of this work. All authors have read and approved the content of the manuscript.

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Correspondence to Haicheng Zhang.

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Ding, R., Zhang, H., Xu, D. et al. Experimental and numerical study on motion instability of modular floating structures. Nonlinear Dyn 111, 6239–6259 (2023). https://doi.org/10.1007/s11071-022-08163-2

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