|
Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2011, Volume 52, Issue 3, Pages 143–152
(Mi pmtf1489)
|
|
|
|
This article is cited in 4 scientific papers (total in 4 papers)
Divergence of a helicoidal shell in a pipe with a flowing fluid
V. V. Eliseev, Yu. M. Vetyukov, T. V. Zinov'eva St. Petersburg State Polytechnical University, St. Petersburg, 195251, Russia
Abstract:
This paper considers a solution of the problem of coupled hydroelasticity for a helicoidal shell in a rigid tube with a flowing ideal incompressible fluid, which is of interest for the design of heat exchange systems. The flow is considered potential, and boundary conditions are imposed on the deformed surface. The version of the classical theory of elastic shells as the Lagrangian mechanics of deformable surfaces is used. The longitudinal-torsional vibrations of a long shell and a naturally twisted rod are studied. It is established that the obtained hydrodynamic loads are conservative, so that a divergence type instability is possible. A critical combination of parameters is determined.
Keywords:
hydroelasticity, helicoidal shell, longitudinal-torsional vibrations, ideal incompressible fluid, instability, divergence.
Received: 26.03.2009 Accepted: 16.04.2010
Citation:
V. V. Eliseev, Yu. M. Vetyukov, T. V. Zinov'eva, “Divergence of a helicoidal shell in a pipe with a flowing fluid”, Prikl. Mekh. Tekh. Fiz., 52:3 (2011), 143–152; J. Appl. Mech. Tech. Phys., 52:3 (2011), 450–458
Linking options:
https://www.mathnet.ru/eng/pmtf1489 https://www.mathnet.ru/eng/pmtf/v52/i3/p143
|
|