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Licensed Unlicensed Requires Authentication Published by De Gruyter September 24, 2019

Nonlinear Dynamics Behavior of Tethered Submerged Buoy under Wave Loadings

Lin Zhao , Weihao Meng , Zhongqiang Zheng EMAIL logo and Zongyu Chang


Tethered submerged buoy is used extensively in the field of marine engineering. In this paper considering the effect of wave, the nonlinear dynamics behavior of tethered submerged buoy is debated under wave loadings. According to Newton’s second law, the dynamic of the system is built. The coupling factor of the system is neglected, the natural frequency is calculated. The dynamic responses of the system are analyzed using Runge–Kutta method. Considering the variety of the steepness kA, the phenomenon of dynamic behavior can be periodic, double periodic and quasi-periodic and so on. The bifurcation diagram and the largest Lyapunov exponent are applied to judge the nonlinear characteristic. It is helpful to understand the dynamic behavior of tethered submerged buoy and design the mooring line of tethered submerge buoy.

MSC 2010: 37Nxx; 65Pxx; 70Kxx; 74Hxx


The authors are grateful for the support of National Natural Science Foundation of China (51809245), New Century Talents Program of Ministry of Education of China, the Fundamental Research Funds for Central Universities and Open Program of Key laboratory of Mechanism Theory and Equipment Design of Ministry of Education.


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Received: 2018-01-10
Accepted: 2019-06-19
Published Online: 2019-09-24
Published in Print: 2020-02-25

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