Natural vibrations of a rotating circular cylindrical shell containing fluid
DOI:
https://doi.org/10.7242/1999-6691/2010.3.2.14Keywords:
rotating shell, natural vibrations, potential fluid, finite element methodAbstract
The finite element method is used to study the natural vibrations of rotating circular cylindrical shells containing a fluid, which rotates with the same angular velocity as the shell. Centrifugal and Coriolis forces acting on the rotating shell are considered. The geometric stiffness matrix that takes into account the influence of the initial circumferential tension caused by centrifugal forces is obtained by solving the static problem. The fluid motion is described in the framework of the potential theory. The results of numerical experiments performed for shells with different boundary conditions and geometric dimensions are given.
Downloads
References
Lai Y.-C., Chow C.-Y. Stability of a rotating thin elastic tube containing a fluid flow // Zeitschrift fur angewande Mathematik und Mechanik. - 1973. - V. 53. - P. 511-517. DOI
Vorob’ev U.S., Detistov S.I. Vlianie potoka gaza na kolebania vrasausihsa cilindriceskih obolocek // Prikladnaa mehanika. - 1985. - T. 21, No 7. - S. 39-43.
Cortelezzi L., Pong A., Paidoussis M.P. Flutter of rotating shells with a co-rotating axial flow // J. Appl. Mech. - 2004. - V. 71, N. 1. - P. 143-145. DOI
Il’gamov M.A. Kolebania uprugih obolocek, soderzasih zidkost’ i gaz. - M.: Nauka, 1969. - 184 s.
Bockarev S.A., Matveenko V.P. Cislennoe issledovanie vliania granicnyh uslovij na dinamiku povedenia cilindriceskoj obolocki s protekausej zidkost’u // Izv. RAN. MTT. - 2008. - No 3. - S. 189-199.
Alfutov N.A., Zinov’ev P.A., Popov V.G. Rascet mnogoslojnyh plastin i obolocek iz kompozicionnyh materialov. - M.: Masinostroenie, 1984. - 264 s.
Sivadas K.R., Ganesan N. Effect of rotation on vibration of moderarately thick circular cylindrical shells // J. Vib. Acoust. - 1994. - V. 116, N. 1. - P. 198-202. DOI
Matveenko V.P. Ob odnom algoritme resenia zadaci o sobstvennyh kolebaniah uprugih tel metodom konecnyh elementov // Kraevye zadaci teorii uprugosti i vazkouprugosti. - Sverdlovsk, 1980. - S. 20-24.
Smirnov A.L., Tovstik P.E. Kacestvennoe issledovanie dinamiki vrasausihsa obolocek vrasenia // Sovremennye problemy mehaniki i aviacii. - M.: Masinostroenie, 1982. - S. 280-290.
Srinivasan A.V. Flutter analysis of rotating cylindrical shells immersed in a circular helical flowfield of air // AIAA J. - 1971. - V. 9. - P. 394-400. DOI
Endo M., Hatamura K., Sakata M., Taniguchi O. Flexural vibration of a thin rotating ring / M. Endo // J. Sound Vib. - 1984. - V. 92, N. 2. - P. 261-272. DOI
Downloads
Published
Issue
Section
License
Copyright (c) 2010 Computational Continuum Mechanics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.
