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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

孙云卿, 吴志强, 章国齐, 王远岑. 海洋立管双模态动力学分岔分析[J]. 应用数学和力学, 2020, 41(5): 480-490. doi: 10.21656/1000-0887.400257
引用本文: 孙云卿, 吴志强, 章国齐, 王远岑. 海洋立管双模态动力学分岔分析[J]. 应用数学和力学, 2020, 41(5): 480-490. doi: 10.21656/1000-0887.400257
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. 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
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

Bifurcation Analysis of Dual-Mode Dynamics for Marine Risers

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

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