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ARTICLE
Stochastic P-bifurcation of a 3-DOF airfoil with structural nonlinearity
| 1 | College of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, China |
| 2 | School of Mechanical Engineering, Tianjin University, Tianjin, China |
CORRESPONDING AUTHOR
Submission date: 2020-09-22
Final revision date: 2021-02-26
Acceptance date: 2021-02-26
Online publication date: 2021-04-11
Publication date: 2021-04-15
Journal of Theoretical and Applied Mechanics 2021;59(2):307–317
KEYWORDS
TOPICS
ABSTRACT
In this paper, the stochastic-aeroelastic nonlinear response of a three-degree-of-freedom
(3-DOF) structural nonlinear airfoil with a control flap is presented. The critical parameter
conditions of stochastic P-bifurcation are solved by using the improved average method, the
stochastic average method combined with the singularity theory. The results show that the
periodic solution produced by Hopf bifurcation has involved a second bifurcation, the nonlinear
critical speed of saddle node bifurcation points is advanced, and the airfoil appears
bi-stable. The stochastic singularity analysis shows that the increasing stochastic disturbance
intensity will cause a greater probability for a large amplitude stochastic flutter.
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