| 控制面间隙对非线性二元机翼气动弹性响应的影响 |
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| 引用本文： | 李道春,向锦武.控制面间隙对非线性二元机翼气动弹性响应的影响[J].航空学报,2009,30(8):1385-1391. |
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| 作者姓名： | 李道春 向锦武 |
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| 作者单位： | 北京航空航天大学 航空科学与工程学院 |
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| 基金项目： | 国家自然科学基金(10272012) |
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| 摘 要： | 采用Theodorsen非定常气动力建立同时含有俯仰立方非线性和控制面间隙非线性二元机翼的运动方程，并以状态空间形式描述。基于状态依赖Riccati方程控制方法，设计了非线性颤振控制律。综合运用Runge-Kutta数值方法与Henon方法，研究了控制面间隙对系统开环/闭环响应的影响。其中Henon方法用以准确快速地确定间隙非线性的转折点，从而可以避免间隙非线性引起的数值不稳定现象。仿真结果显示，俯仰立方非线性可以使间隙非线性系统产生振幅稳定的极限环振荡；控制面间隙对开环响应的影响随着来流速度的升高而减弱；在速度较高的情况下，控制面间隙导致闭环系统响应产生过阻尼现象。
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| 关 键 词： | 非线性系统 间隙非线性 二元机翼 极限环振荡 颤振 |
| 收稿时间： | 2008-06-04 |
| 修稿时间： | 2008-10-28 |
Effect of Control Surface Freeplay on Nonlinear Aeroelastic Responses of an Airfoil |
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| Li Daochun,Xiang Jinwu.Effect of Control Surface Freeplay on Nonlinear Aeroelastic Responses of an Airfoil[J].Acta Aeronautica et Astronautica Sinica,2009,30(8):1385-1391. |
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| Authors: | Li Daochun Xiang Jinwu |
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| Institution: | School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics |
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| Abstract: | Dynamic equations of a two-dimensional airfoil with cubic nonlinearity in pitching degree-of-freedom and freeplay in the control surface are derived,where Theodorsen unsteady aerodynamics is adopted.Then the equations are rewritten in state space form.Based on the state-dependent Riccati equation method,a nonlinear control law is designed for its flutter control.The Runge-Kutta numerical approach in conjunction with Henon's method is used to investigate the effect of the control surface freeplay on the open... |
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| Keywords: | nonlinear systems freeplay nonlinearity two-dimensional airfoil limit cycle oscillation flutter |
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