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Small Motions and Normal Oscillations of a Double Pendulum with Cavities Containing a Viscous Incompressible Liquid

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Abstract

The linear hydrodynamic problem involving the small motions and normal oscillations of a double pendulum with cavities completely filled with a liquid is examined. The problem is solved using the methods of functional analysis. An existence theorem is formulated for the solutions to the Cauchy problem and the properties of the normal oscillations are described.

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Authors and Affiliations

  1. Taurian National University, Ukraine

    É. I. Batyr

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  1. É. I. Batyr
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Batyr, É.I. Small Motions and Normal Oscillations of a Double Pendulum with Cavities Containing a Viscous Incompressible Liquid. Journal of Mathematical Sciences 107, 4453–4457 (2001). https://doi.org/10.1023/A:1012572921189

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  • DOI: https://doi.org/10.1023/A:1012572921189

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