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具有操纵面间隙非线性二维翼段的气动弹性分析
引用本文:赵永辉,胡海岩.具有操纵面间隙非线性二维翼段的气动弹性分析[J].航空学报,2003,24(6):521-525.
作者姓名:赵永辉  胡海岩
作者单位:南京航空航天大学,振动工程研究所,江苏,南京,210016
摘    要: 基于Theodorsen 理论和Wagner 函数,提出了不可压缩流作用下三自由度二维翼段任意运动非定常气动力表达式。对操纵面自由度具有的间隙非线性,建立了二维翼段气动弹性系统无量纲分段线性运动方程。数值仿真预示了系统极限环振动的相轨迹、无量纲振动幅值和频率,表明操纵面铰链处存在的间隙非线性将导致整个系统的极限环振动;随着来流速度的增加,系统极限环振动的幅值和频率都存在跳跃现象。

关 键 词:气动弹性  三自由度二维翼段  非稳态气动力  间隙非线性  极限环振动  
文章编号:1000-6893(2003)06-0521-05
修稿时间:2002年9月19日

Aeroelastic Analysis of a Two-Dimensional Airfoil with Control Surface Freeplay Nonlinearity
ZHAO Yong-hui,HU Hai-yan.Aeroelastic Analysis of a Two-Dimensional Airfoil with Control Surface Freeplay Nonlinearity[J].Acta Aeronautica et Astronautica Sinica,2003,24(6):521-525.
Authors:ZHAO Yong-hui  HU Hai-yan
Institution:Institute of Vibration Engineering Research; Nanjing Univ. of Aero. &; Astro.; Nanjing 210016; China
Abstract:Based on Theodorsen's theory and Wagner's function, the expressions of unsteady aerodynamic forces for arbitrary motions of a two-dimensional airfoil with three degrees of freedom are presented. It is assumed that the airfoil is subjected to an incompressible flow. The non-dimensional piecewise linear equations of motion for the two-dimensional airfoil with control surface freeplay nonlinearity are established. The phase trajectories, non-dimensional amplitudes and frequencies of limit cycle oscillation are predicted through numerical simulation. Simulation results demonstrate that the freeplay nonlinearity in the control surface hinge moment can result in limit cycle oscillations of the whole system. With the increase of air speed, the jump phenomenon appears in the amplitudes and frequencies of limit cycle oscillations.
Keywords:aeroelasticity  two-dimensional airfoil with 3-DOF  unsteady aerodynamic forces  freeplay nonlinearity  limit cycle oscillations
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