A paradox of non-monotonicity in stability of pipes conveying fluid

Author:

Elishakoff I.1,Vittori P.1

Affiliation:

1. Florida Atlantic University - Department of Mechanical Engineering, Boca Raton, FL

Abstract

The paradoxical result of the non-monotonous relationship between the critical speed of the fluid that is conveyed in the elastic pipe, and the mass ratio was reported first some four decades ago. Since then this result was reproduced in numerous books and articles. In this study the paradox is revisited. It appears that it is a numerical artifact; instead of non-monotonicity there are jumps.

Publisher

National Library of Serbia

Subject

Applied Mathematics,Mechanical Engineering,Computational Mechanics

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. STABILITY OF A MULTI-SPAN FLUID-CONVEYING PIPE ON ELASTIC SUPPORTS;Spravochnik. Inzhenernyi zhurnal;2022-07

2. Influence of Flow Velocity Variability on Pipeline Stability Boundaries;Moscow University Mechanics Bulletin;2022-02

3. Effects of the passive electromagnetic damper on the behavior of a fluid-conveying pipeline;Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science;2018-06-27

4. Discussion: “Dynamic Stability of Periodic Pipes Conveying Fluid” (Yu, D. L., Païdoussis, M. P., Shen, H. J., and Wan, L., 2013, ASME J. Appl. Mech., 81, p. 011008);Journal of Applied Mechanics;2014-02-19

5. Bibliography;Fluid-Structure Interactions;2014

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