大展弦比复合材料机翼失速颤振分析

研究了大展弦比复合材料机翼在较大迎角状态下的失速颤振特性,探讨了结构几何非线性和由复合材料剪裁产生的刚度耦合效果对机翼失速颤振特性的影响.首先,将复合材料机翼建模为转角和位移均可为有限值的非线性薄壁单闭室截面Euler梁,并在综合考虑结构几何非线性、气动非线性和材料各向异性对机翼运动状态的影响的基础上,建立机翼的运动微分方程.然后,使用小扰动分析的方法得到机翼在平衡位置附近的振动方程,采用ONERA半经验的非定常失速气动力模型,获得机翼在平衡位置附近的非线性失速颤振分析方程.最后,利用谐波平衡法求解并判定机翼颤振稳定性.通过算例,首先验证了算法的正确性,然后研究了几何非线性对失速颤振的影响,并讨论不同的复合材料铺层方式导致机翼失速特性的改变.

Stall Flutter Analysis of High-Aspect-Ratio Composite Wing

The stall flutter characters of high- aspect- ratio composite wing are investigated, and the effects of structure geometric nonlinearity and stiffness couple created by composite anisotropy on them also are discussed. Firstly, the high- aspect- ratio wing is modeled as a composite thin- walled closed- section Euler beam whose displacement and rotation both could be of finite value, and the nonlinear dynamic equations is build up on it with all the effects of geometric nonlinearity, aerodynamic nonlinearity and anisotropy of material being considered. Then vibration equations are deduced through perturbing the dynamic equations at wing's equilibrium position, and coupled with unsteady stall aerodynamic model and ONERA model, to obtain the nonlinear stall flutter analysis equations of wing. Finally, the flutter stabilities with various wind speeds are determined by the harmonic balance method. With several examples, the validity of the stall flutter model is proved, and the significant effects of geometric nonlinearity on the stall flutter various characters as well as the effects of ply angle on the stall flutter speed and frequency also are discussed.