Doklady Physics

, Volume 56, Issue 1, pp 32–38 | Cite as

The effect of nonconservative forces on the stability of systems with multiple frequencies and the Nicolai paradox

  • A. A. Mailybaev
  • A. P. Seyranian


Axial Force DOKLADY Physic Instability Region Multiple Frequency Dissipative Force 
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  1. 1.
    E. L. Nicolai, Izv. Leningrad. Politekhn. Instituta 31, 201 (1928).Google Scholar
  2. 2.
    E. L. Nicolai, Vestn. Prikl. Matematiki i Mekhaniki 1, 41 (1929).Google Scholar
  3. 3.
    E. L. Nicolai, Works on Mechanics (Gostekhteorizdat, Moscow, 1955) [in Russian].Google Scholar
  4. 4.
    V. V. Bolotin, Nonconservative Problems of Elastic Stability (Fizmatgiz, Moscow, 1961) [in Russian].Google Scholar
  5. 5.
    A. A. Mailybaev and A. P. Seyranian, Multiparameter Stability Problems: Theory and Applications in Mechanics (Fizmatlit, Moscow, 2010) [in Russian].Google Scholar
  6. 6.
    V. I. Arnold, Geometrical Methods in the Theory of Ordinary Differential Equations, Springer, New York, 1983.zbMATHCrossRefGoogle Scholar
  7. 7.
    D. R. Merkin, Introduction to the Theory of Stability of Motion (Nauka, Moscow, 1987) [in Russian].zbMATHGoogle Scholar
  8. 8.
    A. P. Seyranian and A. A. Mailybaev, Multiparameter Stability Theory with Mechanical Applications (World Sci., New Jersey, 2004).Google Scholar
  9. 9.
    H. Ziegler, Ing. Arch. 20, 49 (1952).zbMATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Pleiades Publishing, Ltd. 2011

Authors and Affiliations

  1. 1.Institute of MechanicsMoscow State UniversityMoscowRussia

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