Stability Analysis of Viscoelastic Curved Pipes Conveying Fluid

WANG Zhong-min; ZHANG Zhan-wu; ZHAO Feng-qun

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Article Navigation > Applied Mathematics and Mechanics > 2005 > 26(6): 743-748

WANG Zhong-min, ZHANG Zhan-wu, ZHAO Feng-qun. Stability Analysis of Viscoelastic Curved Pipes Conveying Fluid[J]. Applied Mathematics and Mechanics, 2005, 26(6): 743-748.

Citation:

WANG Zhong-min, ZHANG Zhan-wu, ZHAO Feng-qun. Stability Analysis of Viscoelastic Curved Pipes Conveying Fluid[J]. Applied Mathematics and Mechanics, 2005, 26(6): 743-748.

Citation:

WANG Zhong-min, ZHANG Zhan-wu, ZHAO Feng-qun. Stability Analysis of Viscoelastic Curved Pipes Conveying Fluid[J]. Applied Mathematics and Mechanics, 2005, 26(6): 743-748.

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Stability Analysis of Viscoelastic Curved Pipes Conveying Fluid

School of Sciences, Xi'an University of Technology, Xi'an 710048, P. R. China

Received Date: 2003-11-21
Rev Recd Date: 2005-02-22
Publish Date: 2005-06-15

Abstract

Abstract

Based on the Hamilton's principle for elastic systems of changing mass,a differential equation of motion for viscoelastic curved pipes conveying fluid was derived using variational method,and the complex characteristic equation for the viscoelastic circular pipe conveying fluid was obtained by normalized power series method.The effects of dimensionless delay time on the variation relationship between dimensionless complex frequency of the clamped-clamped viscoelastic circular pipe conveying fluid with the Kelvin-Voigt model and dimensionless flow velocity were analyzed.For greater dimensionless delay time,the behavior of the viscoelastic pipe is that the first,second and third mode does not couple,while the pipe behaves divergent instability in the first and second order mode,then single-mode flutter takes place in the first order mode.
- dynamic stability,
- viscoelastic circular pipe conveying fluid,
- Kelvin-Voigt model,
- power series method

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References(10)

References

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