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On gyroscopic stabilization

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Abstract

The mechanisms of transition between divergence, flutter, and stability for a class of conservative gyroscopic systems with parameters are studied. Two results are obtained which state sufficient conditions for gyroscopic stabilization of conservative systems with an even dimension and a negative definite stiffness matrix. A number of examples are given to demonstrate the feasibility of the results.

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Authors and Affiliations

  1. Institute of Mechanics, Moscow State Lomonosov University, 117192, Moscow, Russia

    A. Seyranian

  2. Mathematical Institute, Technical University of Denmark, Building 303, DK-2800, Lyngby, Denmark

    J. Stoustrup & W. Kliem

Authors
  1. A. Seyranian
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  2. J. Stoustrup
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  3. W. Kliem
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Additional information

The work of this author was supported in part by The Danish Technical Research Council through the programme on Computer Aided Engineering Design and by The Danish Natural Science Research Council through the programme on Differential Equations.

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Seyranian, A., Stoustrup, J. & Kliem, W. On gyroscopic stabilization. Z. angew. Math. Phys. 46, 255–267 (1995). https://doi.org/10.1007/BF00944756

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  • DOI: https://doi.org/10.1007/BF00944756

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