Springer Nature is making Coronavirus research free. View research | View latest news | Sign up for updates

Orthogonalization in the stability analysis of systems with nonseparable eigenfunctions

  • 11 Accesses

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

Literature Cited

  1. 1.

    Yu. I. Bobrovnitskii, “Vibrations of mechanical systems with nonorthogonal eigenfunctions,” in: Acoustical Dynamics of Machines and Structures [in Russian], Nauka, Moscow (1973), pp. 6–9.

  2. 2.

    F. M. Dimentberg, Flexural Vibrations of Rotaling Shafts, Butterworths, London (1961).

  3. 3.

    M. F. Zeitman and L. A. Taran, “Application of the small-parameter method for the investigation of the vibrations of nonconservative elastic gyroscopic systems,” in: Vibrations and Balancing of Rotor Systems [in Russian], Nauka, Moscow (1974), pp. 5–17.

  4. 4.

    M. Ya. Kushul', “Stability of the periodic solutions of quasilinear elastic gyroscopic systems with distributed and lumped parameters, Prikl. Mat. Mekh.,34, No. 1, 115–126 (1970).

  5. 5.

    M. Ya. Kushul' and E. Ya. Gordon, “Dynamics of an elastic rotor under the action of shaft-end sliding friction, Mashinovedenie, No. 6, 11–21 (1969).

Download references

Additional information

Nikolaev Computing Center. Translated from Prikladnaya Mekhanika, Vol. 13, No. 6, pp. 129–132, June, 1977.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Gordon, E.Y. Orthogonalization in the stability analysis of systems with nonseparable eigenfunctions. Soviet Applied Mechanics 13, 630–633 (1977).

Download citation


  • Stability Analysis