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Mechanism of the loss of stability of a rotating composite plane circular disk

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We propose a procedure for the investigation of the mechanism of the loss of stability of a rotating composite plane circular disk based on the method of small parameter. We deduce the characteristic equation for the critical radius of the plastic zone in the first approximation. We also find the numerical values of the critical angular rotational velocity for various parameters of the disk.

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Authors and Affiliations

  1. Khmel’nitskii Cherkassy National University, Cherkassy, Ukraine

    D. M. Lila

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Translated from Matematychni Metody ta Fizyko-Mekhanichni Polya, Vol. 55, No. 3, pp. 111–120, July–September, 2012.

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Lila, D.M. Mechanism of the loss of stability of a rotating composite plane circular disk. J Math Sci 194, 257–269 (2013). https://doi.org/10.1007/s10958-013-1525-0

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  • DOI: https://doi.org/10.1007/s10958-013-1525-0

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