FLOW-INDUCED INTERNAL RESONANCES AND MODE EXCHANGE IN HORIZONTAL CANTILEVERED PIPE CONVEYING FLUID (Ⅱ)
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...
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Published in | Applied mathematics and mechanics Vol. 27; no. 7; pp. 943 - 951 |
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Main Author | |
Format | Journal Article |
Language | English |
Published |
2006
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Subjects | |
Online Access | Get full text |
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Summary: | 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 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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Bibliography: | O322 U137.91 bifurcation internal resonance pipe conveying fluid pipe conveying fluid; internal resonance; stability; bifurcation 31-1650/O1 stability |
ISSN: | 0253-4827 1573-2754 |