Doklady Physics

, Volume 58, Issue 11, pp 510–513 | Cite as

Dynamic loss of stability of a rod under longitudinal load lower than the Eulerian load

  • N. F. Morozov
  • P. E. Tovstik
Mechanics

Keywords

DOKLADY Physic Parametrical Resonance Main Resonance Transverse Oscillation Longitudinal Oscillation 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    L. Euler, Method of Finding of Curves with Properties of Maximum or Minimum or the Solution of Isoperimetric Problem Taken in the Widest Sense (Gostekhizdat, Moscow, 1934) [in Russian].Google Scholar
  2. 2.
    M. A. Lavrent’ev and A. Yu. Ishlinskii, Dokl. Akad. Nauk 64(6), 779 (1949).MATHGoogle Scholar
  3. 3.
    A. S. Vol’mir, Stroit. Mekhanika i Raschet Sooruzhenii, No. 1, 6 (1960).Google Scholar
  4. 4.
    V. V. Bolotin, Transverse Oscillations and Critical Velocities (Izd-vo AN SSSR, Moscow, Vol. 1, 1951, Vol. 2. 1953) [in Russian].Google Scholar
  5. 5.
    N. F. Morozov and P. E. Tovstik, Vestn. SPbGU, No. 2, 105 (2009).Google Scholar
  6. 6.
    N. F. Morozov and P. E. Tovstik, Vestn. SPbGU. Ser. 1, No. 3 (2013).Google Scholar
  7. 7.
    N. F. Morozov and P. E. Tovstik, Dokl. Akad. Nauk 452(1), 37 (2013).MathSciNetGoogle Scholar
  8. 8.
    A. K. Belyaev, D. N. Il’in, and N. F. Morozov, Izv. RAN. Mekhanika Tverdogo Tela (2013).Google Scholar
  9. 9.
    V. A. Yakubovich and V. M. Starzhinskii, Linear Differential Equations with Periodic Coefficients and Their Applications (Nauka, Moscow, 1972) [in Russian].Google Scholar

Copyright information

© Pleiades Publishing, Ltd. 2013

Authors and Affiliations

  • N. F. Morozov
    • 1
  • P. E. Tovstik
    • 1
  1. 1.Institute of Problems in Machine ScienceRussian Academy of SciencesSt. PetersburgRussia

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