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Title: Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems
Authors: Li, Xinyan
Zhao, Dan
Shi, Baolu
Keywords: DRNTU::Engineering::Mechanical engineering
Acoustic Transducers
Issue Date: 2019
Source: Li, X., Zhao, D., & Shi, B. (2019). Coherence resonance and stochastic bifurcation behaviors of simplified standing-wave thermoacoustic systems. The Journal of the Acoustical Society of America, 145(2), 692-702. doi:10.1121/1.5089214
Series/Report no.: The Journal of the Acoustical Society of America
Abstract: In this work, noise-induced motions (i.e., external fluctuations) in two modelled standing-wave thermoacoustic systems are studied when these systems are close to the deterministic stability boundary. These systems include (1) open-open (i.e., Rijke-type) and (2) closed-open boundary conditions. It is found from the smooth transitions of the stationary probability density function that the thermoacoustic system is destabilized via stochastic P bifurcation, as the external noise intensity is continuously increased. In addition, the increased noise intensity can shift the hysteresis region, which makes the system more prone to quasi-periodic oscillations, but also reduces the hysteresis area. The noise-induced coherence motions are observed numerically in the open-open system, which is denoted by the occurrence of a bell-shaped signal to noise ratio (SNR). The SNR is shown to be applicable as a precursor. It becomes larger and the optimal noise intensity is decreased as the modelled thermoacoustic system approaches the critical bifurcation point. In addition, coherence resonance is observed in the closed-open system. To validate the findings, experimental studies are conducted on an open-open Rijke tube. Good qualitative agreements are obtained. The present study shed lights on the stochastic and coherence behaviors of the standing-wave thermoacoustic systems with different boundary conditions.
ISSN: 0001-4966
DOI: 10.1121/1.5089214
Rights: © 2019 Acoustical Society of America. All rights reserved. This paper was published in Journal of the Acoustical Society of America and is made available with permission of Acoustical Society of America.
Fulltext Permission: open
Fulltext Availability: With Fulltext
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