非线性二元机翼气动弹性近似解析研究  

Nonlinear Aeroelastic Analysis of Airfoil Using Quasi-analytical Approach

作　　者：李道春[1] 向锦武[1] 

机构地区：[1]北京航空航天大学航空科学与工程学院飞机所,北京100083

出　　处：《航空学报》2007年第5期1080-1084,共5页Acta Aeronautica et Astronautica Sinica

基　　金：国家自然科学基金(10272012);教育部新世纪优秀人才基金(NCET-04-0169)

摘　　要：建立了不可压流动中多项式迟滞非线性二元机翼的气动弹性运动方程,然后利用谐波平衡法进行了求解。与数值积分结果比较分析表明,在系统发生二次分叉以前,谐波平衡法可以准确地预测极限环振荡的频率和振幅,通过频谱分析与时间响应历程讨论了谐波平衡法产生误差的原因。另外还研究了弹性轴位置对颤振特性的影响,随着弹性轴不断靠近翼弦中点,俯仰振幅不断增大,而沉浮振幅则存在一个极小值点。The dynamical equation of a two-dimensional airfoil with polynomial hysteresis nonlinearity is built in an incompressible flow. Then the harmonic balance method（HB） is used to solve the equation. According to a comparison with the results from numerical time marching integration, it is shown that the harmonic balance method can accurately predict the frequency and amplitude of flutter before the second bifurcation appeared. The power spectral density and time history are used to investigate the applicability of harmonic balance method. The effect of the elastic axis is also investigated. With the elastic axis closing to the airfoil midpoint, the pitch amplitude increases slightly while the plunge amplitude fluctuates with an extremum.

关 键 词：非线性气动弹性 极限环振荡 谐波平衡法 迟滞非线性 颤振 

分 类 号：V215.3[航空宇航科学与技术—航空宇航推进理论与工程]