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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2012, Volume 53, Issue 3, Pages 166–175
(Mi pmtf1375)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/pmtf1375 https://www.mathnet.ru/eng/pmtf/v53/i3/p166
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