Panel flutter of rotating circular shells in a supersonic gas flow

Authors

  • Sergey Arkadievich Bochkarev Institute of Continuous Media Mechanics UB RAS
  • Valeriy Pavlovich Matveyenko Institute of Continuous Media Mechanics UB RAS

DOI:

https://doi.org/10.7242/1999-6691/2008.1.3.24

Keywords:

Abstract

A finite element algorithm for panel flutter analysis of rotating circular shells in a supersonic gas flow is developed. The algorithm takes into account the effects of centrifugal, Coriolis and aeroelastic forces. A geometric rigidity matrix evaluating the influence of the initial circumferential force caused by centrifugal forces is constructed during the solution of the static problem. Aerodynamic pressure is calculated using the quasi-static aerodynamic theory. The results of the solution to the problem of shells with varying geometric parameters and under different boundary conditions are given. It is shown that in the case of specific geometric parameters, the rotation of the shell leads to a decrease in the aeroelastic stability boundary.

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References

Novickov U.N. Flatter plastin i obolocek // Itogi nauki i tehniki. Mehanika deformiruemogo tverdogo tela. - M.: Nauka, 1978. - T. 11. - S. 67-122.
Bismarck-Nasr M.N. Finite Element Analysis of Aeroelasticity of Plates and Shells // Applied Mechanics Reviews. - 1992. - V. 45, N. 12. - P. 461-482. DOI
Gulyaev V.I., Solov’ev I.L., Belova M.A. On Relationship Between Critical States and Frequencies of Natural Precession Vibrations of Conical Shells in Simple and Compound Rotations // Strength of Materials. - 2004. - V. 36, N. 2. - P. 147-157. DOI
Alfutov N.A., Zinov’ev P. A., Popov V. G. Rascet mnogoslojnyh plastin i obolocek iz kompozicionnyh materialov. - M.: Masinostroenie, 1984. - 264s.
Bockarev S.A., Matveenko V.P. Resenie zadaci o panel’nom flattere obolocecnyh konstrukcij metodom konecnyh elementov // Matematiceskoe modelirovanie. - 2002. - T. 14, No 12. - C. 55-71.
Sivadas K.R. Vibration Analysis of Pre-Stressed Rotating Thick Circular Conical Shell // J. Sound Vibr. - 1995. - V. 186, N. 1. - P. 99-109. DOI
Voss H. M. The Effect of an External Supersonic Flow on the Vibration Characteristics of Thin Cylindrical Shells // J. Aerospase Sciences. - 1961. - V. 3. - P. 945-956.
Uilkinson Dz., Rajns K. Spravocnik algoritmov na azyke ALGOL: Linejnaa algebra. - M.: Masinostroenie, 1976. - 389s.
Bismarck-Nasr M.N. Finite Element Method Applied to the Supersonic Flutter of Circular Cylindrical Shells // Int. J. Numer. Meth. Engng. - 1976. - V. 10. - P. 423-435. DOI
Smirnov A.L., Tovstik P.E. Kacestvennoe issledovanie dinamiki vrasausihsa obolocek vrasenia // Sovremennye problemy mehaniki i aviacii. - M.: Masinostroenie, 1982. - S. 280-290.

Published

2008-04-01

Issue

Section

Articles

How to Cite

Bochkarev, S. A., & Matveyenko, V. P. (2008). Panel flutter of rotating circular shells in a supersonic gas flow. Computational Continuum Mechanics, 1(3), 25-33. https://doi.org/10.7242/1999-6691/2008.1.3.24