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内共振下超临界输液管受迫振动响应

毛晓晔 丁虎 陈立群

毛晓晔, 丁虎, 陈立群. 内共振下超临界输液管受迫振动响应[J]. 应用数学和力学, 2016, 37(4): 345-351. doi: 10.3879/j.issn.1000-0887.2016.04.002
引用本文: 毛晓晔, 丁虎, 陈立群. 内共振下超临界输液管受迫振动响应[J]. 应用数学和力学, 2016, 37(4): 345-351. doi: 10.3879/j.issn.1000-0887.2016.04.002
MAO Xiao-ye, DING Hu, CHEN Li-qun. Forced Vibration Responses of Supercritical Fluid-Conveying Pipes in 3∶1 Internal Resonance[J]. Applied Mathematics and Mechanics, 2016, 37(4): 345-351. doi: 10.3879/j.issn.1000-0887.2016.04.002
Citation: MAO Xiao-ye, DING Hu, CHEN Li-qun. Forced Vibration Responses of Supercritical Fluid-Conveying Pipes in 3∶1 Internal Resonance[J]. Applied Mathematics and Mechanics, 2016, 37(4): 345-351. doi: 10.3879/j.issn.1000-0887.2016.04.002

内共振下超临界输液管受迫振动响应

doi: 10.3879/j.issn.1000-0887.2016.04.002
基金项目: 国家自然科学基金(重点项目)(11232009);国家自然科学基金(11372171;11422214)
详细信息
    作者简介:

    毛晓晔(1987—),男,硕士生(E-mail: maoxiaoye1987920@aliyun.com);丁虎(1978—),男,研究员,博士生导师(通讯作者. E-mail: dinghu3@shu.edu.cn).

  • 中图分类号: O32

Forced Vibration Responses of Supercritical Fluid-Conveying Pipes in 3∶1 Internal Resonance

Funds: The National Natural Science Foundation of China(Key Program)(11232009);The National Natural Science Foundation of China(11372171;11422214)
  • 摘要: 首次研究了超临界流速输液管在3∶1内共振条件下的稳态幅频响应.考虑超临界速度引起的管道屈曲位形,建立描述连续体非线性振动的偏微分积分方程.通过Galerkin截断方法,将连续体方程离散化.对于同时含有平方与立方非线性的多自由度系统,发展高阶多尺度法建立可解性条件.稳态幅频响应曲线揭示了内共振条件下,不同模态间能量的转移.最后,数值仿真结果验证了近似解析分析的有效性.
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出版历程
  • 收稿日期:  2016-01-15
  • 修回日期:  2016-03-03
  • 刊出日期:  2016-04-15

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