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Asymptotic stability boundaries for the equilibrium positions of a double pendulum with vibrating point of suspension

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Abstract

The mechanisms whereby a double pendulum with vibrating point of suspension loses stability in equilibrium positions are studied. Stability conditions for the equilibrium positions in critical cases are established

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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. 7, pp. 120–133, July 2008.

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Slyn’ko, V.I. Asymptotic stability boundaries for the equilibrium positions of a double pendulum with vibrating point of suspension. Int Appl Mech 44, 818–829 (2008). https://doi.org/10.1007/s10778-008-0095-1

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  • DOI: https://doi.org/10.1007/s10778-008-0095-1

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