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Orthogonalization in the stability analysis of systems with nonseparable eigenfunctions

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Literature Cited

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    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.

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

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    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.

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    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).

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    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).

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Additional information

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

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Gordon, E.Y. Orthogonalization in the stability analysis of systems with nonseparable eigenfunctions. Soviet Applied Mechanics 13, 630–633 (1977). https://doi.org/10.1007/BF00884472

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Keywords

  • Stability Analysis