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Flutter of a sandwich cylindrical shell supported with annular ribs and loaded with axial forces

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Abstract

The supersonic flutter of a sandwich cylindrical shell supported from within with annular ribs and loaded with axial forces on the end faces is investigated. The shell motion is described by the equations of the theory of sandwich orthotropic shells. The solution of the equations is sought as a trigonometric series with respect to the axial coordinate. With the help of the Bubnov—Galerkin method, this problem is reduced to the set of algebraic equations for the analysis of the stability of which one uses the Routh—Hurwits criterion. By a numerical example, the effect of the number and the heights of the ribs on the critical velocity of the flow around the shell is shown.

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References

  1. V. V. Bolotin, Nonconservative Problems of Elastic-Stability Theory (Fizmatlit, Moscow, 1961) [in Russian].

    Google Scholar 

  2. V. V. Vedeneev, Fluid Dyn. 47 (3), 417 (2012).

    Article  ADS  MATH  Google Scholar 

  3. V. V. Vedeneev, S. V. Guvernyuk, A. F. Zubkov, and M. E. Kolotnikov, Fluid Dyn. 45 (2), 312 (2010).

    Article  ADS  Google Scholar 

  4. A. A. Il’yushin, Prikl. Mat. Mekh. 20 (6), 733 (1956).

    Google Scholar 

  5. A. S. Vol’mir, Stability of Deformable Systems (Fizmatlit, Moscow, 1967) [in Russian].

    Google Scholar 

  6. P. M. Ogibalov and M. A. Koltunov, Shells and Plates (Izd-vo MGU, Moscow, 1969) [in Russian].

    Google Scholar 

  7. V. G. Moskvin, Proc. of VIII All-Union Conf. on Theory of Plates and Shells (Nauka, Moscow, 1973) [in Russian].

    Google Scholar 

  8. S. D. Algazin and I. A. Kiiko, Flutter of Plates and Shells (Nauka, Moscow, 2006) [in Russian].

    Google Scholar 

  9. Yu. S. Solomonov, V. P. Georgievskii, A. Ya. Nedbaj, and V. A. Andryushin, Method of Calculation of Cylindrical Shells from Composite Materials (Fizmatlit, Moscow, 2009) [in Russian].

    Google Scholar 

  10. B. P. Demidovich and I. A. Maron, Fundamentals of Calculation Mathematics (Nauka, Moscow, 1966) [in Russian].

    Google Scholar 

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Authors and Affiliations

  1. Institute of Applied Mechanics, Russian Academy of Sciences, Moscow, 117312, Russia

    V. N. Bakulin

  2. Joint Stock Company Corporation, Moscow Institute of Thermal Engineering, Moscow, 127273, Russia

    E. N. Volkov & A. Ya. Nedbaj

Authors
  1. V. N. Bakulin
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  2. E. N. Volkov
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  3. A. Ya. Nedbaj
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Corresponding author

Correspondence to V. N. Bakulin.

Additional information

Original Russian Text © V.N. Bakulin, E.N. Volkov, A.Ya. Nedbaj, 2015, published in Doklady Akademii Nauk, 2015, Vol. 463, No. 4, pp. 414–417.

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Bakulin, V.N., Volkov, E.N. & Nedbaj, A.Y. Flutter of a sandwich cylindrical shell supported with annular ribs and loaded with axial forces. Dokl. Phys. 60, 360–363 (2015). https://doi.org/10.1134/S1028335815080029

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  • DOI: https://doi.org/10.1134/S1028335815080029

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