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Analysis of coupled-mode flutter of pipes conveying fluid on the elastic foundation

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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.

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Authors and Affiliations

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

    Wang Zhong-min Professor & Zhao Feng-qun

  2. Department of Basic Courses, Xi'an Highway University, 710064, Xi'an, P R China

    Feng Zhen-yu Professor

  3. School of Mechanical and Instrumnenal Engineering, Xi'an University of Technology, 710048, Xi'an, P R China

    Liu Hong-zhao

Authors
  1. Wang Zhong-min Professor
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  2. Feng Zhen-yu Professor
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  3. Zhao Feng-qun
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  4. Liu Hong-zhao
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(Communicated by DING Hao-jiang)

Biographies: WANG Zhong-min (1957∼) FENG Zhen-yu (1956∼)

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Zhong-min, W., Zhen-yu, F., Feng-qun, Z. et al. Analysis of coupled-mode flutter of pipes conveying fluid on the elastic foundation. Appl Math Mech 21, 1177–1186 (2000). https://doi.org/10.1007/BF02458996

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  • DOI: https://doi.org/10.1007/BF02458996

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