Skip to main content
Log in

Use of the lyapunov-schmidt method for analysis stability and self-excited vibrations in complex mechanical systems

  • Published:
Soviet Applied Mechanics Aims and scope

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Literature Cited

  1. N. N. Brushlinskaya, “Qualitative integration of one differential equation in region containing singular point and limit cycle,” Dokl. Akad. Nauk SSSR,139, No. 1, 9–12 (1961).

    Google Scholar 

  2. M. M. Vainberg and V. A. Trenogin, Theory of Branching of Solutions to Nonlinear Equations [in Russian], Nauka, Moscow (1969).

    Google Scholar 

  3. O. Zenkevich (Senkiewicz), Method of Finite Elements in Engineering [Russian translation], Mir, Moscow (1976).

    Google Scholar 

  4. A. G. Kurosh, Advanced Algebra [in Russian], Nauka, Moscow (1975).

    Google Scholar 

  5. R. R. Matevosyan, “Method of solving and analyzing systems of nonlinear equations,” Teor. Metody Raschet. Stroitel. Konstrukts., No. 35, 112–120 (1974).

    Google Scholar 

  6. Yu. I. Neimark, “Structure of D-partition of polynomial space and Vyshnegradskii and Nyquist diagrams,” Dokl. Akad. Nauk SSSR,59, No. 5, 853–856 (1948).

    Google Scholar 

  7. M. A. Krasnosel'skii, G. M. Vainikko, P. P. Zabreiko, et al., Approximate Solution of Operator Equations [in Russian], Nauka, Moscow (1969).

    Google Scholar 

Download references

Authors

Additional information

Novocherkassk Polytechnic Institute. Translated from Prikladnaya Mekhanika, Vol. 19, No. 12, pp. 102–109, December, 1983.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vorontsov, G.V., Kabel'kov, A.N. Use of the lyapunov-schmidt method for analysis stability and self-excited vibrations in complex mechanical systems. Soviet Applied Mechanics 19, 1133–1139 (1983). https://doi.org/10.1007/BF00883866

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00883866

Keywords

Navigation