Stability of coaxial cylindrical shells containing a rotating fluid
DOI:
https://doi.org/10.7242/1999-6691/2013.6.1.12Keywords:
coaxial shells, potential rotating fluid, finite element method, stability, flutterAbstract
The dynamic behavior of coaxial cylindrical shells of revolution interacting with the rotating flows of a compressible fluid is studied. The flowing fluid properties are described within the framework of the potential theory. The classic shell theory is used to model elastic shells. In the numerical implementation, a semi-analytic finite element technique is applied. Numerical experiments carried out on shells with different boundary conditions and different values of the annual gap between the shells provide evidence for the existence of a subset of new qualitative regularities.
Downloads
References
Srinivasan A.V. Flutter analysis of rotating cylindrical shells immersed in a circular helical flowfield of air // AIAA J. - 1971. - V. 9, N. 3. - P. 394-400. DOI
2. Dowell E.H., Srinivasan A.V., McLean J.D., Ambrose J. Aeroelastic stability of cylindrical shells subjected to a rotating flow // AIAA J. - 1974. - V. 12, N. 12. - P. 1644-1651. DOI
3. McLean J.D., Dowell E.H. Swirling flows between coaxial cylinders with injection by radial jets // AIAA J. - 1975. - V. 13, N. 11. - P. 1435-1440. DOI
4. Il’gamov M.A. Kolebania uprugih obolocek, soderzasih zidkost’ i gaz. - M.: Nauka, 1969. - 184 s.
5. 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.
6. Biderman V.L. Mehanika tonkostennyh konstrukcij. - M.: Masinostroenie, 1977. - 488 s.
7. Zenkevic O. Metod konecnyh elementov v tehnike. - M.: Mir, 1975. - 543 s.
8. 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.
9. David T.S., Srinivasan A.V. Flutter of coaxial cylindrical shells in an incompressible axisymmetric flow // AIAA J. - 1974. - V. 12, N. 12. - P. 1631-1635. DOI
10. Bockarev S.A. Ustojcivost’ cilindriceskoj obolocki s vrasausejsa v nej zidkost’u // Vestnik SamGU - Estestvennonaucnaa seria. - 2010. - No 6 (80). - S. 106-115.
11. Bockarev S.A. Sobstvennye kolebania vrasausejsa krugovoj cilindriceskoj obolocki s zidkost’u // Vycisl. meh. splos. sred. - 2010. - T. 3, No 2. - S. 24-33.
12. Paidoussis M.P., Chan S.P., Misra A.K. Dynamics and stability of coaxial cylindrical shells containing flowing fluid // J. Sound Vib. - 1984. - V. 97, N. 2. - P. 201-235. DOI
13. Sevelev N.A., Dombrovskij I.V. Cislennyj analiz dinamiceskih harakteristik vrasausihsa deformiruemyh konstrukcij // Vycisl. meh. splos. sred. - 2010. - T. 3, No 1. - S. 93-104.
14. Bockarev S.A., Matveenko V.P. Dinamiceskoe povedenie uprugih koaksial’nyh cilindriceskih obolocek, soderzasih dvizusuusa v nih zidkost’ // PMM. - 2010. - T. 74, No 4. - S. 655-666.
Downloads
Published
Issue
Section
License
Copyright (c) 2013 Computational Continuum Mechanics
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.