SUN Yunqing, WU Zhiqiang, ZHANG Guoqi, WANG Yuancen. Bifurcation Analysis of Dual-Mode Dynamics for Marine Risers[J]. Applied Mathematics and Mechanics, 2020, 41(5): 480-490. doi: 10.21656/1000-0887.400257
 Citation: SUN Yunqing, WU Zhiqiang, ZHANG Guoqi, WANG Yuancen. Bifurcation Analysis of Dual-Mode Dynamics for Marine Risers[J]. Applied Mathematics and Mechanics, 2020, 41(5): 480-490.

# Bifurcation Analysis of Dual-Mode Dynamics for Marine Risers

##### doi: 10.21656/1000-0887.400257
Funds:  The National Basic Research Program of China (973 Program)（2014CB046805）；The National Natural Science Foundation of China（11672349;11372211）
• Rev Recd Date: 2019-10-24
• Publish Date: 2020-05-01
• To study the vortex-induced vibration (VIV) of top tension risers (TTRs) under shear flow, the non-linear dynamic model of VIV for TTRs was constructed, in which the riser was simplified as an Euler-Bernoulli beam model and the van der Pol wake oscillator was used to describe the effect of fluid. Based on the 2nd-order Galerkin modal discretization model, the harmonic balance method, the Poincaré mapping method and the Lyapunov exponential method were used to reveal the system response characteristics. The results show that periodic responses and quasi-periodic responses occur alternately with the increase of the flow velocity, and the periodic response region corresponds to the vortex-induced resonance region. The approximate periodic solution obtained with the harmonic balance method can predict the amplitude and frequency of the periodic solution in the vortex-induced resonance region, and the main frequency components of the quasi-periodic solution in the non-vortex-induced resonance region.
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