流体诱发水平悬臂输液管的内共振和模态转换(Ⅰ)

徐鉴; 杨前彪

流体诱发水平悬臂输液管的内共振和模态转换(Ⅰ)

徐鉴,
杨前彪

同济大学航空航天与力学学院,上海 200092

基金项目: 国家自然科学基金资助项目(10472083);国家自然科学基金(重点)资助项目(10532050)

详细信息

作者简介:
徐鉴(1961- ),男,浙江人,教授,博士(联系人.Tel:+86-21-65981138;Fax:+86-21-65983267;E-mail:xujian@mail.tongji.edu.cn).

中图分类号: O322；U137.91
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出版历程
- 收稿日期: 2004-05-25
- 修回日期: 2006-03-01
- 刊出日期: 2006-07-15

Flow-Induced Internal Resonances and Mode Exchange in Horizontal Cantilevered Pipe Conveying Fluid(Ⅰ)

School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai 200092, P. R. China

摘要

摘要: 运用牛顿法导出水平悬臂刚性输液管的非线性动力学数学模型．为了对该模型进行理论分析，通过对各个相关实际物理量的量级定性分析，给出了模型中各个物理参数的量级．在此基础上，应用多尺度法首先得到输液管自由振动模态的特征函数，利用悬臂管的边界条件给出了特征值满足的特征方程，发现管内流体速度可以诱发第一阶模态和第二阶模态3种形式的内共振分别是3∶1、2∶1和1∶1内共振，从理论上解释了流速诱发水平悬臂输液管系统内共振的机理．由于3∶1内共振所对应的流速最小，因此这种形式的内共振是最先出现的，也是最重要的．
- 输液管 /
- 内共振 /
- 稳定性 /
- 分岔
Abstract: The Newtonian method is employed to obtain nonlinear mathematical model of motion of a horizontally cantilevered and inflexible pipe conveying fluid. The order magnitudes of relevant physical parameters are analyzed qualitatively to establish a foundation on the further study of the model. The method of multiple scales is used to obtain eigenfunctions of the linear free-vibration modes of the pipe. The boundary conditions yield the characteristic equations from which eigenvalues can be derived. It is found that flow velocity in the pipe may induced the 3:1, 2:1 and 1:1 internal resonances between the first and second modes such that the mechanism of flow-induced internal resonances in the pipe under consideration is explained theoretically. The 3:1 internal resonance first occurs in the system and is, thus, the most important since it corresponds to the minimum critical velocity.
- pipe conveying fluid /
- internal resonance /
- stability /
- bifurcation

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参考文献(18)

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流体诱发水平悬臂输液管的内共振和模态转换(Ⅰ)

作者简介:
徐鉴(1961- ),男,浙江人,教授,博士(联系人.Tel:+86-21-65981138;Fax:+86-21-65983267;E-mail:xujian@mail.tongji.edu.cn).

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Flow-Induced Internal Resonances and Mode Exchange in Horizontal Cantilevered Pipe Conveying Fluid(Ⅰ)

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留言板

流体诱发水平悬臂输液管的内共振和模态转换(Ⅰ)

作者简介: 徐鉴(1961- ),男,浙江人,教授,博士(联系人.Tel:+86-21-65981138;Fax:+86-21-65983267;E-mail:xujian@mail.tongji.edu.cn).

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出版历程

Flow-Induced Internal Resonances and Mode Exchange in Horizontal Cantilevered Pipe Conveying Fluid(Ⅰ)

计量

出版历程

目录

作者简介:
徐鉴(1961- ),男,浙江人,教授,博士(联系人.Tel:+86-21-65981138;Fax:+86-21-65983267;E-mail:xujian@mail.tongji.edu.cn).