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Influence of the System of Forces on the Stability of Impulsive Mechanical Gyroscopic Systems

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The linear stability of an impulsive mechanical system under dissipative, potential, circulation forces, and gyroscopic forces of high intensity is analyzed. Coefficient conditions for the linear stability of the equilibrium state of the system when the eigendecomposition of the matrix of gyroscopic forces is known explicitly are established. The conditions for the parametric resonance of a plane gyroscopic pendulum to occur are established

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, 3 Nesterova St., Kyiv, Ukraine, 03057

    S. I. Golin’ko & V. I. Slyn’ko

Authors
  1. S. I. Golin’ko
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  2. V. I. Slyn’ko
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Correspondence to S. I. Golin’ko.

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Translated from Prikladnaya Mekhanika, Vol. 52, No. 3, pp. 105–120, May–June, 2016.

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Golin’ko, S.I., Slyn’ko, V.I. Influence of the System of Forces on the Stability of Impulsive Mechanical Gyroscopic Systems. Int Appl Mech 52, 301–314 (2016). https://doi.org/10.1007/s10778-016-0753-7

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  • DOI: https://doi.org/10.1007/s10778-016-0753-7

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