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Stabilization of the Unstable Spinning of a Lagrange Top Filled with a Fluid

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The stability and stabilization of the unstable spinning of a Lagrange top with an arbitrary axisymmetric cavity filled with an ideal fluid are addressed. The necessary stability conditions are used to demonstrate that it is possible to stabilize the top using rotating rigid bodies. Numerical calculations are in agreement with analytical results for a top with an ellipsoidal or a cylindrical cavity

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Authors and Affiliations

  1. National Mining University, 19 Karla Marksa Av., Dnepropetrovsk, Ukraine, 49600

    T. V. Khomyak

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  1. T. V. Khomyak
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Correspondence to T. V. Khomyak.

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Translated from Prikladnaya Mekhanika, Vol. 51, No. 6, pp. 119–127, November–December 2015.

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Khomyak, T.V. Stabilization of the Unstable Spinning of a Lagrange Top Filled with a Fluid. Int Appl Mech 51, 702–709 (2015). https://doi.org/10.1007/s10778-015-0728-0

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  • DOI: https://doi.org/10.1007/s10778-015-0728-0

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