ANALYSIS OF COUPLED-MODE FLUTTER OF PIPES CONVEYING  FLUID ON THE ELASTIC FOUNDATION

Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (10): 1177-1186.

ANALYSIS OF COUPLED-MODE FLUTTER OF PIPES CONVEYING FLUID ON THE ELASTIC FOUNDATION

王忠民¹, 冯振宇², 赵凤群¹, 刘宏昭³

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

收稿日期:1999-03-12 修回日期:2000-03-14 出版日期:2000-10-18 发布日期:2000-10-18

ANALYSIS OF COUPLED-MODE FLUTTER OF PIPES CONVEYING FLUID ON THE ELASTIC FOUNDATION

WANG Zhong-min¹, FENG Zhen-yu², ZHAO Feng-qun¹, LIU Hong-zhao³

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:1999-03-12 Revised:2000-03-14 Online:2000-10-18 Published:2000-10-18

摘要/Abstract

摘要： 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.

关键词: elastic foundation, pipe conveying fluid, coupled-mode flutter, stability, power series method

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

中图分类号:

O353

王忠民;冯振宇;赵凤群;刘宏昭. ANALYSIS OF COUPLED-MODE FLUTTER OF PIPES CONVEYING FLUID ON THE ELASTIC FOUNDATION[J]. Applied Mathematics and Mechanics (English Edition), 2000, 21(10): 1177-1186.

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 (English Edition), 2000, 21(10): 1177-1186.

参考文献

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ANALYSIS OF COUPLED-MODE FLUTTER OF PIPES CONVEYING FLUID ON THE ELASTIC FOUNDATION

ANALYSIS OF COUPLED-MODE FLUTTER OF PIPES CONVEYING FLUID ON THE ELASTIC FOUNDATION

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