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Suspension point vibration parameters for a given equilibrium of a double mathematical pendulum

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Abstract

The motion of a double mathematical pendulum under the action of the gravity force and a vibration force whose frequency substantially exceeds the system natural frequencies is considered. An oblique vibration stabilizing the pendulum in an arbitrarily given position is sought. The domain of existence of the pendulum equilibrium points and the vibration parameters corresponding to a given equilibrium of the pendulumare obtained analytically. In the domain of existence of equilibrium points, the subdomain of their stability is distinguished.

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Authors and Affiliations

  1. Institute of Solid State Physics, Russian Academy of Sciences, Akad. Osip’yana 2, Chernogolovka, Moscow oblast, 142432, Russia

    P. O. Bulanchuk

  2. Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia

    A. G. Petrov

Authors
  1. P. O. Bulanchuk
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  2. A. G. Petrov
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Correspondence to P. O. Bulanchuk.

Additional information

Original Russian Text © P.O. Bulanchuk, A.G. Petrov, 2013, published in Izvestiya Akademii Nauk. Mekhanika Tverdogo Tela, 2013, No. 4, pp. 31–39.

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Bulanchuk, P.O., Petrov, A.G. Suspension point vibration parameters for a given equilibrium of a double mathematical pendulum. Mech. Solids 48, 380–387 (2013). https://doi.org/10.3103/S0025654413040043

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  • DOI: https://doi.org/10.3103/S0025654413040043

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