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Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
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ISSN 0021-8928
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IssuesArchive of Issues2010-4pp.467-474

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S.A. Bochkarev and V.P. Matveyenko, "The dynamic behaviour of elastic coaxial cylindrical shells conveying fluid," J. Appl. Math. Mech. 74 (4), 467-474 (2010)
Year 2010 Volume 74 Issue 4 Pages 467-474
Title The dynamic behaviour of elastic coaxial cylindrical shells conveying fluid
Author(s) S.A. Bochkarev (Perm, Russia, bochkarev@icmm.ru)
V.P. Matveyenko (Perm, Russia)
Abstract The dynamic behaviour of elastic coaxial cylindrica shells, which interact with a flow of compressible fluid in the inner shell or in the annular gap between the shells when both flows are present, is investigated by the finite element method. A number of test problems is considered in the case of cantilevered coaxial shells. The effect on the stability limit of the gap between the two shells is investigated for different values of the stiffness parameters of the outer shell and the fluid flow. An important difference is found with existing solutions in cases when the loss of stability of the coaxial shells occurs at higher oscillation modes. It is established that, for a certain value of the gap between the shells, the elasticity of the outer shell may have a stabilizing effect. It is shown that the presence of internal and annular flows simultaneously has a considerable stabilizing effect, while a loss of stability when the flow rates increase occurs at extremely high oscillation modes.
Received 24 March 2009
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