Applied Mathematics and Mechanics

, Volume 21, Issue 10, pp 1177–1186 | Cite as

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
Article

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.

Key words

elastic foundation pipe conveying fluid coupled-mode flutter stability power series method 

CLC number

0353 

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2000

Authors and Affiliations

  • Wang Zhong-min
    • 1
  • Feng Zhen-yu
    • 2
  • Zhao Feng-qun
    • 1
  • Liu Hong-zhao
    • 3
  1. 1.School of ScienceXi'an University of TechnologyXi'anP R China
  2. 2.Department of Basic CoursesXi'an Highway UniversityXi'anP R China
  3. 3.School of Mechanical and Instrumnenal EngineeringXi'an University of TechnologyXi'anP R China

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