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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 3, Pages 166–175 (Mi pmtf1375)  
This article is cited in 4 scientific papers (total in 4 papers)

Chaotic phase synchronization of vibrations of multilayer beam structures

V. A. Krys'ko, M. I. Koch, M. V. Zhigalov, A. V. Krys'ko

Saratov State Technical University, Saratov, 410054, Russia
Full-text PDF (636 kB) Citations (4)
Abstract: Complex deterministic vibrations of a multilayer stack of beams linked only by boundary conditions are considered. A mathematical model of the stack is constructed taking into account the geometric and physical nonlinearities of the beams and the contact interaction of their layers. A method for the study of phase synchronization of vibrations based on wavelet analysis is developed. The influence of boundary conditions for the lower beam and different types of nonlinearity (physical, geometrical, and contact) and their combinations on the character and phase synchronization of vibrations of the multilayer stack of beams is studied.
Keywords: beam structures, deterministic vibrations, chaotic phase synchronization, wavelet analysis.
Received: 23.08.2011
English version:
Journal of Applied Mechanics and Technical Physics, 2012, Volume 53, Issue 3, Pages 451–459
DOI: https://doi.org/10.1134/S0021894412030182
Bibliographic databases:
Document Type: Article
UDC: 534.1, 539.3
Language: Russian
Citation: V. A. Krys'ko, M. I. Koch, M. V. Zhigalov, A. V. Krys'ko, “Chaotic phase synchronization of vibrations of multilayer beam structures”, Prikl. Mekh. Tekh. Fiz., 53:3 (2012), 166–175; J. Appl. Mech. Tech. Phys., 53:3 (2012), 451–459
Citation in format AMSBIB
\Bibitem{KryKocZhi12}
\by V.~A.~Krys'ko, M.~I.~Koch, M.~V.~Zhigalov, A.~V.~Krys'ko
\paper Chaotic phase synchronization of vibrations of multilayer beam structures
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2012
\vol 53
\issue 3
\pages 166--175
\mathnet{http://mi.mathnet.ru/pmtf1375}
\elib{https://elibrary.ru/item.asp?id=17797442}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2012
\vol 53
\issue 3
\pages 451--459
\crossref{https://doi.org/10.1134/S0021894412030182}
Linking options:
  • https://www.mathnet.ru/eng/pmtf1375
  • https://www.mathnet.ru/eng/pmtf/v53/i3/p166
    • This publication is cited in the following 4 articles:
    1. Jan Awrejcewicz, Anton V. Krysko, Maxim V. Zhigalov, Vadim A. Krysko, Advanced Structured Materials, 142, Mathematical Modelling and Numerical Analysis of Size-Dependent Structural Members in Temperature Fields, 2021, 197  crossref
    2. J. Awrejcewicz, V.A. Krysko, S.P. Pavlov, M.V. Zhigalov, A.V. Krysko, “Mathematical model of a three-layer micro- and nano-beams based on the hypotheses of the Grigolyuk–Chulkov and the modified couple stress theory”, International Journal of Solids and Structures, 117 (2017), 39  crossref
    3. Hamid M. Sedighi, Kourosh H. Shirazi, Khosro Naderan-Tahan, “Stick-Slip Vibrations of Layered Structures Undergoing Large Deflection and Dry Friction at the Interface”, Journal of Vibration and Acoustics, 135:6 (2013)  crossref
    4. Hamid M. Sedighi, Kourosh H. Shirazi, Khosro Naderan-Tahan, “Stick-slip analysis in vibrating two-layer beams with frictional interface”, Lat. Am. j. solids struct., 10:5 (2013), 1025  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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