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Doklady Physics

, Volume 54, Issue 6, pp 294–300 | Cite as

Vibrational stabilization of statically unstable systems

  • A. P. Seĭranyan
  • A. A. Maĭlybaev
Mechanics
  • 27 Downloads

PACS numbers

45.40.-f 45.80.+r 

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References

  1. 1.
    A. Stephenson, Mem. Proc. Manchester Literary and Philos. Soc. 52(8), 1 (1908).Google Scholar
  2. 2.
    A. Stephenson, Philos. Mag. 17, 765 (1909).Google Scholar
  3. 3.
    P. L. Kapitsa, Zh. Éksp. Teor. Fiz. 21(5), 588 (1951).Google Scholar
  4. 4.
    V. N. Chelomeĭ, Dokl. Akad. Nauk SSSR 110(3), 345 (1956).MathSciNetGoogle Scholar
  5. 5.
    N. N. Bogolyubov and Y. A. Mitropolsky, Asymptotic Methods in the Theory of Non-Linear Oscillations (Gordon and Breach, New York, 1961; Nauka, Moscow, 1974).zbMATHGoogle Scholar
  6. 6.
    D. J. Acheson, Proc. Roy. Soc. (London) 443, 239 (1993).zbMATHCrossRefADSGoogle Scholar
  7. 7.
    I. I. Blekhman, Vibrational Mechanics (Fizmatlit, Moscow, 1994) [in Russian].Google Scholar
  8. 8.
    A. R. Champneys and W. B. Fraser, Proc. Roy. Soc. A (London) 456, 553 (2000).zbMATHCrossRefADSMathSciNetGoogle Scholar
  9. 9.
    J. J. Thomsen, Vibrations and Stability. Advanced Theory, Analysis and Tools (Springer, Berlin, 2003).Google Scholar
  10. 10.
    A. A. Seyranian and A. P. Seyranian, Prikl. Mat. Mekh. 70(5), 835 (2006).MathSciNetGoogle Scholar
  11. 11.
    A. P. Seyranian and A. A. Mailybaev, Multiparameter Stability Theory with Mechanical Applications (World Sci., New Jersey, 2004).Google Scholar
  12. 12.
    N. G. Chetaev, Stability of Motion (Nauka, Moscow, 1990) [in Russian].zbMATHGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2009

Authors and Affiliations

  1. 1.Institute of MechanicsMoscow State UniversityMoscowRussia

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