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

Isaac Elishakoff | Zendy; P. Vittori | Zendy

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

Author(s) -

Isaac Elishakoff,

P. Vittori

Publication year - 2005

Publication title -

theoretical and applied mechanics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.279

H-Index - 6

eISSN - 2406-0925

pISSN - 1450-5584

DOI - 10.2298/tam0503235e

Subject(s) - monotonic function , stability (learning theory) , artifact (error) , critical mass (sociodynamics) , mechanics , mathematical economics , mathematics , computer science , physics , economics , mathematical analysis , artificial intelligence , microeconomics , machine learning

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

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