流体诱发水平悬臂输液管的内共振和模态转换(Ⅱ)

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(Ⅱ)

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(Ⅱ)

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

摘要

摘要: 基于得到的水平悬臂输液管非线性动力学控制方程，详细研究了由流速最小临界值诱发的3∶1内共振．通过观察内共振调谐参数、主共振调谐参数和外激励幅值的变化，发现在内共振临界流速附近，流速导致系统出现模态转换、鞍结分岔、Hopf分岔、余维2分岔和倍周期分岔等非线性动力学行为，对应的管道系统的周期运动失稳出现跳跃、颤振和更加复杂的动力学行为．通过理论结果与数值模拟比较，表明了理论分析的有效性和正确性．
- 输液管 /
- 内共振 /
- 稳定性 /
- 分岔
Abstract: Based on the nonlinear mathematical model of motion of a horizontally cantilevered rigid pipe conveying fluid, the 3:1 internal resonance induced by the minimum critical velocity is studied in details. With the detuning parameters of internal and primary resonances and the amplitude of the external disturbing excitation varying, the flow in the neighborhood of the critical flow velocity yields that some nonlinearly dynamical behaviors occur in the system such as mode exchange, saddle-node, Hopf and co-dimension 2 bifurcations. Correspondingly, the periodic motion loses its stability by jumping or flutter, and more complicated motions occur in the pipe under consideration. The good agreement between the analytical analysis and the numerical simulation for several parameters ensures the validity and accuracy of the present analysis.
- pipe conveying fluid /
- internal resonance /
- stability /
- bifurcation

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参考文献(15)

[1]	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)[J].应用数学和力学,2006,27(7)：819—824.
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[8]	Padoussis M P,Lu T P, Laithier B E. Dynamics of finite-length tubular beams conveying fluid[J].Journal of Sound and Vibration,1986,106(2):311—331. doi: 10.1016/0022-460X(86)90321-4
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流体诱发水平悬臂输液管的内共振和模态转换(Ⅱ)

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(Ⅱ)

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流体诱发水平悬臂输液管的内共振和模态转换(Ⅱ)

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(Ⅱ)

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).