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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2003, Volume 44, Issue 5, Pages 177–181 (Mi pmtf2551)  
This article is cited in 10 scientific papers (total in 10 papers)

Synchronization of pendulum clocks suspended on an elastic beam

A. Yu. Kanunnikov, R. E. Lamper

Siberian State Technical University, Novosibirsk, 630091
Full-text PDF (178 kB) Citations (10)
Abstract: A synchronous regime in the Huygens problem is studied with allowance for nonlinear interaction between a beam and pendulums. It is shown that the precise out-of-phase motion of different pendulums noted by Huygens cannot occur. The case where the motion of the pendulums is synchronous and close to the out-of-phase motion is studied.
Keywords: synchronization, parametric excitation, harmonic-balance method.
Received: 17.02.2003
English version:
Journal of Applied Mechanics and Technical Physics, 2003, Volume 44, Issue 5, Pages 748–752
DOI: https://doi.org/10.1023/A:1025576908705
Bibliographic databases:
Document Type: Article
UDC: 534
Language: Russian
Citation: A. Yu. Kanunnikov, R. E. Lamper, “Synchronization of pendulum clocks suspended on an elastic beam”, Prikl. Mekh. Tekh. Fiz., 44:5 (2003), 177–181; J. Appl. Mech. Tech. Phys., 44:5 (2003), 748–752
Citation in format AMSBIB
\Bibitem{KanLam03}
\by A.~Yu.~Kanunnikov, R.~E.~Lamper
\paper Synchronization of pendulum clocks suspended on an elastic beam
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2003
\vol 44
\issue 5
\pages 177--181
\mathnet{http://mi.mathnet.ru/pmtf2551}
\elib{https://elibrary.ru/item.asp?id=17274843}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2003
\vol 44
\issue 5
\pages 748--752
\crossref{https://doi.org/10.1023/A:1025576908705}
Linking options:
  • https://www.mathnet.ru/eng/pmtf2551
  • https://www.mathnet.ru/eng/pmtf/v44/i5/p177
    • This publication is cited in the following 10 articles:
    1. M. A. Il'gamov, M. M. Shakiryanov, “Positions of elastic equilibrium of a pipeline with vibrating supports”, J. Appl. Mech. Tech. Phys., 63:3 (2022), 533–541  mathnet  crossref  crossref  mathscinet  elib
    2. Jonatan Peña Ramirez, Luis Alberto Olvera, Henk Nijmeijer, Joaquin Alvarez, “The sympathy of two pendulum clocks: beyond Huygens' observations”, Sci Rep, 6:1 (2016)  crossref
    3. Piotr Koluda, Piotr Brzeski, Przemyslaw Perlikowski, “Dynamics of n Coupled Double Pendula Suspended to the Moving Beam”, Int. J. Str. Stab. Dyn., 14:08 (2014), 1440028  crossref
    4. J. Peña Ramirez, K. Aihara, R.H.B. Fey, H. Nijmeijer, “Further understanding of Huygens' coupled clocks: The effect of stiffness”, Physica D: Nonlinear Phenomena, 270 (2014), 11  crossref
    5. J. Peña Ramirez, R.H.B. Fey, K. Aihara, H. Nijmeijer, “An improved model for the classical Huygens׳ experiment on synchronization of pendulum clocks”, Journal of Sound and Vibration, 333:26 (2014), 7248  crossref
    6. Piotr Koluda, Przemyslaw Perlikowski, Krzysztof Czolczynski, Tomasz Kapitaniak, “Synchronization configurations of two coupled double pendula”, Communications in Nonlinear Science and Numerical Simulation, 19:4 (2014), 977  crossref
    7. Krzysztof Czolczynski, Przemyslaw Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak, “Synchronization of the self-excited pendula suspended on the vertically displacing beam”, Communications in Nonlinear Science and Numerical Simulation, 18:2 (2013), 386  crossref
    8. Krzysztof Czolczynski, Przemysaw Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak, Studies in Computational Intelligence, 459, Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering, 2013, 3  crossref
    9. Krzysztof Czolczynski, Przemysaw Perlikowski, Andrzej Stefanski, Tomasz Kapitaniak, Studies in Computational Intelligence, 483, Selected Topics in Nonlinear Dynamics and Theoretical Electrical Engineering, 2013, 3  crossref
    10. J. Peña-Ramírez, R.H.B. Fey, H. Nijmeijer, “An experimental study on synchronization of nonlinear oscillators with Huygens' coupling”, NOLTA, 3:2 (2012), 128  crossref
    Citing articles in Google Scholar: Russian citations, English citations
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