Email this article A pendulum on a rotating and vibrating foundation
- Authors: Markeev A.P.1,2,3
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Affiliations:
- Ishlinskii Institute for Problems in Mechanics
- Moscow Aviation Institute (National Research University)
- Moscow Institute of Physics and Technology (State University)
- Issue: Vol 62, No 12 (2017)
- Pages: 555-559
- Section: Mechanics
- URL: https://journals.rcsi.science/1028-3358/article/view/192010
- DOI: https://doi.org/10.1134/S1028335817120060
- ID: 192010
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Abstract
The motion of a pendulum is investigated in a uniform gravity field. The foundation of the pendulum is assumed to rotate around the vertical simultaneously accomplishing harmonic vibrations along it with a high frequency and small amplitude. With use of the classical perturbation theory and modern methods of analysis of nonlinear dynamical sets, the problem on the existence and stability of periodic motions of a pendulum with the period equal to that of the vibrations of the foundation is solved.
About the authors
A. P. Markeev
Ishlinskii Institute for Problems in Mechanics; Moscow Aviation Institute (National Research University); Moscow Institute of Physics and Technology (State University)
Author for correspondence.
Email: anat-markeev@mail.ru
Russian Federation, Moscow, 117526; Moscow, 125080; Dolgoprudnyi, Moscow oblast, 141700
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