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research-article

STOCHASTIC BIFURCATIONS OF A NONLINEAR ACOUSTO-ELASTIC SYSTEM

[+] Author and Article Information
W.Dheelibun Remigius

Department of Aerospace Engineering, IIT Madras, Chennai, India 600036
remigius.dheelibun@gmail.com

Sunetra Sarkar

Department of Aerospace Engineering, IIT Madras, Chennai, India 600036
sunetra.sarkar@gmail.com

1Corresponding author.

ASME doi:10.1115/1.4037460 History: Received February 26, 2017; Revised May 23, 2017

Abstract

The nonlinear stochastic behaviour of a nonconservative acousto-elastic system is in focus in the present work. The deterministic acousto-elastic system consists of a spinning disc in a compressible fluid filled enclosure. The nonlinear rotating plate dynamics is coupled with the linear acoustic oscillations of the surrounding fluid and the coupled field equations are discretized and solved at various rotation speeds. The deterministic system reveals the presence of a supercritical Hopf bifurcation when a specific coupled mode undergoes a flutter instability at a particular rotation speed. The effect of randomness associated with the damping parameters are investigated and quantified on the coupled dynamics and the stochastic bifurcation behaviour is studied. The quantification of the parametric randomness has been undertaken by means of a spectral projection based polynomial chaos expansion technique. From the marginal pdfs, it is observed that the stochastic system exhibits stochastic phenomenological bifurcations (P-bifurcation). The study provides insights into the behaviour of the stochastic system during its P-bifurcation with reference to the deterministic Hopf bifurcation.

Copyright (c) 2017 by ASME
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