Complex Oscillations of Flexible Plates under Longitudinal Loads with Account for White Noise
E. Yu. Krylova1, I. V. Papkova2, N. P. Erofeev2, V. M. Zakharov2, V. A. Krys'ko2
1Saratov Chernyshevsky State University, Saratov, 410012, Russia
2Saratov State Technical University, Saratov, 410054, Russia
Keywords: нелинейная динамика, параметрические колебания, индуцированные шумом переходы, пластина, хаос, вейвлеты, белый шум, nonlinear dynamics, parametric oscillation, noise-induced transitions, plate, chaos, wavelets, white noise
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.
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