| FLOW-INDUCED INTERNAL RESONANCES AND MODE EXCHANGE IN HORIZONTAL CANTILEVERED PIPE CONVEYING FLUID （Ⅱ） |
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| 引用本文： | 徐鉴,杨前彪. FLOW-INDUCED INTERNAL RESONANCES AND MODE EXCHANGE IN HORIZONTAL CANTILEVERED PIPE CONVEYING FLUID （Ⅱ）[J]. 应用数学和力学(英文版), 2006, 27(7): 943-951. DOI: 10.1007/s 10483-006-0710-z |
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| 作者姓名： | 徐鉴 杨前彪 |
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| 作者单位： | School of Aerospace Engineering and Applied Mechanics Tongji University Shanghai 200092 P. R. China，School of Aerospace Engineering and Applied Mechanics Tongji University Shanghai 200092 P. R. China |
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| 基金项目： | Project supported by the National Natural Science Foundation of China （No.10472083） and the National Natural Science Key Foundation of China （No.10532050） |
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| 摘 要： | Based on the nonlinear mathematical model of motion of a horizontally can-tilevered 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 losses 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.
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| 关 键 词： | 管道输运流体 内谐振 稳定性 分歧 |
| 收稿时间： | 2004-05-25 |
| 修稿时间： | 2006-03-01 |
Flow-induced internal resonances and mode exchange in horizontal cantilevered pipe conveying fluid (II) |
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| Jian Xu Doctor,Qian-biao Yang. Flow-induced internal resonances and mode exchange in horizontal cantilevered pipe conveying fluid (II)[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(7): 943-951. DOI: 10.1007/s 10483-006-0710-z |
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| Authors: | Jian Xu Doctor Qian-biao Yang |
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| Affiliation: | (1) School of Aerospace Engineering and Applied Mechanics, Tongji University, Shanghai, 200092, P. R. China |
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| Abstract: | Based on the nonlinear mathematical model of motion of a horizontally can-tilevered 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 losses 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. |
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| Keywords: | pipe conveying fluid internal resonance stability bifurcation |
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