Geodesic
A paradox of non-monotonicity in stability of pipes conveying fluid
Theoretical and applied mechanics, Tome 32 (2005) no. 3.

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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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     author = {I. Elishakofi and P. Vittori},
     title = {A paradox of non-monotonicity in stability of pipes conveying fluid},
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I. Elishakofi; P. Vittori. A paradox of non-monotonicity in stability of pipes conveying fluid. Theoretical and applied mechanics, Tome 32 (2005) no. 3. http://geodesic.mathdoc.fr/item/TAM_2005_32_3_a3/