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Stability in critical cases of a holonomic mechanical system with two degrees of freedom subject to impacts

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Abstract

Stability conditions for a holonomic impulsive mechanical system with two degrees of freedom in the critical case of one pair of complex-conjugate multipliers are established. An analog of the first Lyapunov exponent is calculated

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Authors and Affiliations

  1. S. P. Timoshenko Institute of Mechanics, National Academy of Sciences of Ukraine, Kyiv, Ukraine

    V. I. Slyn’ko

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  1. V. I. Slyn’ko
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Translated from Prikladnaya Mekhanika, Vol. 44, No. 6, pp. 105–117, June 2008.

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Slyn’ko, V.I. Stability in critical cases of a holonomic mechanical system with two degrees of freedom subject to impacts. Int Appl Mech 44, 683–694 (2008). https://doi.org/10.1007/s10778-008-0075-5

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  • DOI: https://doi.org/10.1007/s10778-008-0075-5

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