GUO Hu-lun, CHEN Yu-shu. Dynamic Analysis of a Two-Degree-of-Freedom Airfoil With Freeplay and Cubic Nonlinearities in Supersonic Flow[J]. Applied Mathematics and Mechanics, 2012, 33(1): 1-13. doi: 10.3879/j.issn.1000-0887.2012.01.001
 Citation: GUO Hu-lun, CHEN Yu-shu. Dynamic Analysis of a Two-Degree-of-Freedom Airfoil With Freeplay and Cubic Nonlinearities in Supersonic Flow[J]. Applied Mathematics and Mechanics, 2012, 33(1): 1-13.

# Dynamic Analysis of a Two-Degree-of-Freedom Airfoil With Freeplay and Cubic Nonlinearities in Supersonic Flow

##### doi: 10.3879/j.issn.1000-0887.2012.01.001
• Rev Recd Date: 2011-09-18
• Publish Date: 2012-01-15
• The nonlinear aeroelastic response of a two-dimensional airfoil with freeplay and cubic nonlinearities in supersonic flow were investigated. The second-order piston theory was employed to analyze a double wedge airfoil. Then, the fold bifurcation and the amplitude jump phenomenon were detected using averaging method and multi-variable Floquet theory. The analytical results were further verified by numerical simulations. Lastly, the influence of the freeplay parameters on the aeroelastic response was analyzed in detail.
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