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

XU Jian; YANG Qian-biao

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2006 > 27(7): 825-832

XU Jian, YANG Qian-biao. Flow-Induced Internal Resonances and Mode Exchange in Horizontal Cantilevered Pipe Conveying Fluid(Ⅱ)[J]. Applied Mathematics and Mechanics, 2006, 27(7): 825-832.

Citation:

XU Jian, YANG Qian-biao. Flow-Induced Internal Resonances and Mode Exchange in Horizontal Cantilevered Pipe Conveying Fluid(Ⅱ)[J]. Applied Mathematics and Mechanics, 2006, 27(7): 825-832.

Citation:

XU Jian, YANG Qian-biao. Flow-Induced Internal Resonances and Mode Exchange in Horizontal Cantilevered Pipe Conveying Fluid(Ⅱ)[J]. Applied Mathematics and Mechanics, 2006, 27(7): 825-832.

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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

Received Date: 2004-05-25
Rev Recd Date: 2006-03-01
Publish Date: 2006-07-15

Abstract

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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References(15)

References

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