CHEN Heng, WANG Yang-yu, JIN Jiang-ming. Flutter Characteristics Analysis of 2D Rigid Airfoils With Control Surface Based on the Arc-Length Numerical Continuation Method[J]. Applied Mathematics and Mechanics, 2017, 38(7): 769-779. doi: 10.21656/1000-0887.370223
 Citation: CHEN Heng, WANG Yang-yu, JIN Jiang-ming. Flutter Characteristics Analysis of 2D Rigid Airfoils With Control Surface Based on the Arc-Length Numerical Continuation Method[J]. Applied Mathematics and Mechanics, 2017, 38(7): 769-779.

# Flutter Characteristics Analysis of 2D Rigid Airfoils With Control Surface Based on the Arc-Length Numerical Continuation Method

##### doi: 10.21656/1000-0887.370223
Funds:  The National Natural Science Foundation of China(51405440)
• Rev Recd Date: 2016-09-13
• Publish Date: 2017-07-15
• A 3-DOF aeroelastic model was built for 2D rigid airfoils with control surface. This model was simplified with cubic nonlinear stiffness in heave and pitch, where the freeplay control surface was replaced with bilinear stiffness. According to the quasi-steady aerodynamic theory, the motion equations for the system was established. The peak-to-peak value diagram was used to depict the global dynamic properties of the airfoil at different flow velocities, and the arc-length numerical continuation method together with the Floquet multiplier was applied to construct the bifurcation diagram and study the aerodynamic stability. The bifurcation diagram matched the peak-to-peak value diagram well. The results show there are various dynamic behaviors due to freeplay nonlinearity. The aeroelastic model yields complicated limit cycle oscillations, quasi-periodic motions and chaotic phenomena when the angular displacement of the control surface reaches the clearance limit.
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