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Bifurcation Analysis of a System of Three Connected Bodies in a Homogeneous Gravitational Field

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Moscow University Mechanics Bulletin Aims and scope

Abstract

The problem of motion of three connected rigid bodies in a homogeneous field of gravity forces (the generalization of the problem about motion of a gyroscope in gimbal suspension) is discussed. All steady motions of the system, their stability conditions, and branching are found. The results are presented in the form of bifurcation diagrams.

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REFERENCES

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Funding

The work is supported by the Russian Foundation for Basic Research (project no. 19-01-00140).

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Authors and Affiliations

  1. Chair of Theoretical Mechanics and Mechatronics, Faculty of Mechanics and Mathematics, Lomonosov Moscow State University, Moscow, Russia

    A. V. Karapetyan & M. P. Chaplygina

Authors
  1. A. V. Karapetyan
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  2. M. P. Chaplygina
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Correspondence to A. V. Karapetyan or M. P. Chaplygina.

Additional information

Translated by E. Oborin

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Karapetyan, A.V., Chaplygina, M.P. Bifurcation Analysis of a System of Three Connected Bodies in a Homogeneous Gravitational Field. Moscow Univ. Mech. Bull. 75, 160–169 (2020). https://doi.org/10.3103/S0027133020060035

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  • DOI: https://doi.org/10.3103/S0027133020060035

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