Analysis of Coupled-Mode Flutter of Pipes Conveying Fluid on the Elastic Foundation

WANG Zhong-min; FENG Zhen-yu; ZHAO Feng-qun; LIU Hong-zhao

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Article Navigation > Applied Mathematics and Mechanics > 2000 > 21(10): 1060-1068

WANG Zhong-min, FENG Zhen-yu, ZHAO Feng-qun, LIU Hong-zhao. Analysis of Coupled-Mode Flutter of Pipes Conveying Fluid on the Elastic Foundation[J]. Applied Mathematics and Mechanics, 2000, 21(10): 1060-1068.

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Analysis of Coupled-Mode Flutter of Pipes Conveying Fluid on the Elastic Foundation

1.
School of Science, Xi'an University of Technology, Xi'an 710048, P. R. China;
2.
Department of Basic Courses, Xi'an Highway University, Xi'an 710064, P. R. China;
3.
School of Mechanical and Instrumental Engineering, Xi'an University of Technology, Xi'an 710048, P. R. China

Received Date: 1999-03-12
Rev Recd Date: 2000-03-14
Publish Date: 2000-10-15

Abstract

Abstract

The governing equation of solid-liquid couple vibration of pipe conveying fluid on the elastic foundation was derived. The critical velocity and complex frequency of pipe conveying fluid on Winkler elastic foundation and two-parameter foundation were calculated by power series method. Compared with pipe without considering elastic foundation, the numerical results show that elastic foundation can increase the critical flow velocity of static instability and dynamic instability of pipe. And the increase of foundation parameters may increase the critical flow velocity of static instability and dynamic instability of pipe, thereby delays the occurrence of divergence and flutter instability of pipe. For higher mass ratio β, in the combination of certain foundation parameters, pipe behaves the phenomenon of restabilization and redivergence after the occurrence of static instability, and then coupled-mode flutter takes place.
- elastic foundation,
- pipe conveying fluid,
- coupled-mode flutter,
- stability,
- power series method

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References(15)

References

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