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Random Flutter of Multi-Stable Airfoils Excited Parametrically in Steady Flows

Published online by Cambridge University Press:  02 July 2018

Y. Hao  and
Z. Q. Wu
Y. Hao
Affiliation:
College of Civil Engineering & Mechanics Yanshan UniversityQinhuangdao, China
Z. Q. Wu*
Affiliation:
School of Mechanical Engineering Tianjin UniversityTianjin, China
*
*Corresponding author ([email protected])
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Abstract

In this article, random flutter of multi-stable airfoils in steady flow is investigated by means of the analytical method for stochastic P-bifurcation, where the effect of the stochastic disturbance in the generalized flow speed on the airfoils is considered. The results show that under constant stochastic disturbance intensity, the coherence resonance could be induced by the variation of generalized flow speed. In addition, if the generalized flow speed keeps unchanged and its stochastic disturbance is sufficiently large, the response of the system will tend to be a stable equilibrium. It indicates that the parametric stochastic disturbance is effective to maintain system stability. Moreover, it is shown in this paper that the analytical method for stochastic P-bifurcation can be extended to study stochastic P-bifurcations in other high-dimensional systems.

Keywords

Stochastic P-bifurcationStochastic parametric excitationRandom flutter
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 3 , June 2019 , pp. 419 - 426
Copyright
© The Society of Theoretical and Applied Mechanics 2018 

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