This article is cited in 11 papers

Complex oscillations of flexible plates under longitudinal loads with account for white noise

E. Yu. Krylova^a, I. V. Papkova^b, N. P. Erofeev^b, V. M. Zakharov^b, V. A. Krys'ko<sup>b

a</sup> Saratov Chernyshevsky State University, Saratov, 10012, Russia
^b Saratov State Technical University, Saratov, 410054, Russia

Abstract: This paper describes the influence of the intensity of the external additive white noise on the nonlinear dynamics of rectangular plates as mechanical systems with an infinite number of degrees of freedom. A new scenario is discovered, which is a combination of the classic Feigenbaum and Pomeau-Manneville scenarios. The classical methods of nonlinear dynamics and wavelet transforms were used to reveal the peculiarities of a modified scenario. The noise-induced transitions are investigated, and it is shown that the noise exposure is accompanied with the transition to chaotic oscillations with a lower amplitude of the driving load. It is found that the presence of external fluctuations does not affect the scenario of transition from harmonic to chaotic oscillations.

Keywords: nonlinear dynamics, parametric oscillation, noise-induced transitions, plate, chaos, wavelets, white noise.

UDC: 539.3:534.1

Received: 17.03.2015
Revised: 04.06.2015

DOI: 10.15372/PMTF20160416

 English version: Journal of Applied Mechanics and Technical Physics, 2016, 57:4, 714–719

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