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Stability of a Viscoelastic Pipe Filled with a Moving Fluid
Author(s) -
Drozdov A. D.
Publication year - 1997
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.19970770908
Subject(s) - viscoelasticity , mechanics , critical ionization velocity , stability (learning theory) , flow (mathematics) , transversal (combinatorics) , fluid dynamics , flow velocity , materials science , classical mechanics , physics , mathematics , mathematical analysis , computer science , composite material , machine learning
Sufficient stability conditions are derived for transversal oscillations of a thin‐walled viscoelastic pipe filled with a moving fluid. By using two different approaches, explicit expressions are developed for the critical flow velocities. In particular, steady flow and time‐periodic flow are considered. The effect of material and geometrical parameters on the critical velocity is studied numerically.