海洋立管双模态动力学分岔分析

孙云卿; 吴志强; 章国齐; 王远岑

doi:10.21656/1000-0887.400257

海洋立管双模态动力学分岔分析

doi: 10.21656/1000-0887.400257

天津大学力学系, 天津 300350

基金项目: 国家重点基础研究发展计划（973计划）（2014CB046805）；国家自然科学基金（11672349;11372211）

详细信息

作者简介:
孙云卿（1994―），女，硕士（E-mail: yqing_sun@163.com）;吴志强（1968―），男，教授，博士，博士生导师（通讯作者. E-mail: zhiqwu@tju.edu.cn）.

中图分类号: P756|TE95
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- 被引次数: 0
出版历程
- 收稿日期: 2019-09-02
- 修回日期: 2019-10-24
- 刊出日期: 2020-05-01

Bifurcation Analysis of Dual-Mode Dynamics for Marine Risers

Department of Mechanics, Tianjin University, Tinajin 300350, P.R.China

Funds: The National Basic Research Program of China (973 Program)（2014CB046805）；The National Natural Science Foundation of China（11672349;11372211）

摘要

摘要: 为研究剪切流作用下顶张力立管的涡激振动响应规律，将立管简化为Euler-Bernoulli梁模型，用van der Pol尾流振子描述流体的作用，建立了立管涡激振动的非线性动力学模型.基于二阶Galerkin模态离散所得常微分方程组，采用谐波平衡法、Poincaré映射方法和Lyapunov指数法分析系统响应特点.研究结果表明:随着流速的增加，系统响应在周期运动和概周期运动间多次转换，其中周期解区域对应系统的涡激共振区；谐波平衡法结果能够较准确地预测涡激共振区周期解的振幅和频率，以及非涡激共振区概周期解的主要频率成分.
- 涡激振动 /
- 尾流振子 /
- 谐波平衡法 /
- Poincaré映射 /
- Lyapunov指数法 /
- 多模态
Abstract: 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.
- vortex-induced vibration /
- wake oscillator /
- harmonic balance method /
- Poincaré map /
- Lyapunov exponential method /
- multimode

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