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超临界输流管道3∶1内共振下参激振动响应

张凯凯 谭霞 丁虎 陈立群

张凯凯, 谭霞, 丁虎, 陈立群. 超临界输流管道3∶1内共振下参激振动响应[J]. 应用数学和力学, 2018, 39(11): 1227-1235. doi: 10.21656/1000-0887.390121
引用本文: 张凯凯, 谭霞, 丁虎, 陈立群. 超临界输流管道3∶1内共振下参激振动响应[J]. 应用数学和力学, 2018, 39(11): 1227-1235. doi: 10.21656/1000-0887.390121
ZHANG Kaikai, TAN Xia, DING Hu, CHEN Liqun. Parametric Vibration Responses of Supercritical Fluid-Conveying Pipes in 3∶1 Internal Resonance[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1227-1235. doi: 10.21656/1000-0887.390121
Citation: ZHANG Kaikai, TAN Xia, DING Hu, CHEN Liqun. Parametric Vibration Responses of Supercritical Fluid-Conveying Pipes in 3∶1 Internal Resonance[J]. Applied Mathematics and Mechanics, 2018, 39(11): 1227-1235. doi: 10.21656/1000-0887.390121

超临界输流管道3∶1内共振下参激振动响应

doi: 10.21656/1000-0887.390121
基金项目: 国家自然科学基金(11772181);上海市教育委员会“曙光”计划(17SG38);上海市教育委员会创新计划(2017-01-07-00-09-e00019)
详细信息
    作者简介:

    张凯凯(1993—),男,硕士生(E-mail: 2294360286@qq.com);谭霞(1992—),女,博士生(通讯作者. E-mail: tanxiadyx0108@163.com).

  • 中图分类号: O32

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

Funds: The National Natural Science Foundation of China(11772181)
  • 摘要: 研究了3∶1内共振下输流管道在超临界领域的参激稳态响应.基于输流管道的非平凡静平衡位形,通过坐标代换得到超临界输流管道非线性振动的偏微分-积分控制方程.运用直接多尺度法,分析得到3∶1内共振下输流管道参激振动响应的近似解析解,并用Galerkin截断法数值验证近似解析结果的可靠性.数值算例表明,内共振条件下输流管道系统不同模态间存在能量转移.通过近似解析结果预测了参激幅值对内共振条件下幅频响应曲线的影响.
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出版历程
  • 收稿日期:  2018-04-16
  • 修回日期:  2018-09-14
  • 刊出日期:  2018-11-01

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