 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| A.P. Markeev, "To the Problem of Accuracy for the Pendulum Clock on a Vibrating Base," Mech. Solids. 53 (5), 573-583 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
5 |
Pages |
573-583 |
| DOI |
10.3103/S0025654418080113 |
| Title |
To the Problem of Accuracy for the Pendulum Clock on a Vibrating Base |
| Author(s) |
A.P. Markeev (Ishlinsky Institute for Problems in Mechanics of the Russian Academy of Sciences, pr. Vernadskogo 101, str. 1, Moscow, 119526 Russia; Moscow Aviation Institute (National Research University), Volokolamskoe sh. 4, Moscow, 125993 Russia; Moscow Institute of Physics and Technology (State University), 9 Institutskiy per., Dolgoprudny, 141700 Russia, anat-markeev@mail.ru) |
| Abstract |
The problem of the influence of periodic vibrations of the suspension point of a physical pendulum on its nonlinear oscillations in the vicinity of a stable vertical equilibrium position is investigated. The vibrations are assumed to be periodic and occur in the plane of the pendulum motion.
The approximate, time-independent equations of motion are obtained. For the case of pendulum oscillations in the vicinity of the vertical equilibrium position that is allowed by approximate equations, the action - angle variables have been introduced and it has been shown that most of the trajectories of the approximate system are also preserved in the complete system. In the plane of two dimensionless parameters: the oscillation amplitudes of the pendulum and the parameter characterizing the difference in vibration intensity values of the suspension point in the horizontal and vertical directions there are areas in which the pendulum clock is fast and areas in which it is slow. |
| Keywords |
pendulum, vibration, stability |
| References |
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|
| Received |
05 April 2017 |
| Link to Fulltext |
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