Stochastic P-bifurcation of a 3-DOF airfoil with structural nonlinearity
Ying Hao 1  
,   Xuewen Du 1,   Yuda Hu 1,   Zhiqiang Wu 2
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College of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, China
School of Mechanical Engineering, Tianjin University, Tianjin, China
Ying Hao   

School of Civil Engineering and Mechanics, Yanshan University, Qinhuangdao, China
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
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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