具有不对称间隙的二元机翼自激振动的混沌分析

A chaos analysis of a two-dimensional airfoil with asymmetry freeplay

利用数值方法分析了无预荷载情况下具有不对称间隙的气动弹性非线性与结构非线性耦合的二元机翼颤振问题的动力学响应。通过研究速度比U*/UL*从零逐渐增大到1时系统的全局演化规律,发现在无预荷载的不对称分段线性系统中存在混沌运动形式,并对其进行具体分析,得到产生混沌的原因,为进一步控制和减小颤振提供理论帮助,对飞机的飞行结构设计及飞机结构的日常维护具有指导意义。

The dynamics response of a two-dimensional airfoil without preload asymmetry freeplay, which is suffered from the coupled forces of aeroelastie nonlinear and structural nonlinear, is analyzed by means of numerical method. Global bifurcation of the system is studied as the speed ratio U^＊/UL^＊ increases from zero to 1 gradually. The chaos motion is found in the system. The reason for the chaos is gained by analyzing it concretely which gives the theoretical help for further controlling and reducing the flutter and instructive to the design of aircraft structures and regular maintenance of plane.