考虑间隙非线性的控制舵非线性气动弹性分析  

Nonlinear Aero-elastic Analysis of Control Fin with Free-play Nonlinearity

作　　者：李家旭 田玮 谷迎松[2] LI Jiaxu;TIAN Wei;GU Yingsong(Design Institute,AVIC Shaanxi Aircraft Industry Group Corporation,Hanzhong 723213,China;Institute of Structural Dynamics and Control,Northwestern Polytechnical University,Xi’an 710072,China)

机构地区：[1]航空工业陕西飞机工业(集团)公司设计院,汉中723213 [2]西北工业大学结构动力学与控制研究所,西安710072

出　　处：《航空工程进展》2020年第6期827-835,850,共10页Advances in Aeronautical Science and Engineering

摘　　要：间隙结构的气动弹性系统非线性颤振问题是飞行器气动弹性力学工程领域的研究热点和难点,研究考虑间隙非线性的控制舵系统的气动弹性特性具有重要意义。基于最小状态拟合方法获得时域降阶气动力模型,并通过Lagrange方程获得系统非线性气动弹性方程;对比分析三种不同非线性控制舵系统的极限环颤振及非线性动力学响应特性,并与等效线化法和时域仿真的结果进行一致性对比。结果表明:俯仰和扑动弹簧刚度的变化对系统颤振边界有显著影响,当俯仰和扑动两个方向同时含有间隙非线性时,系统在线性颤振速度内存在倍周期、混沌等复杂非线性动力学现象。The nonlinear flutter problem of aero-elastic system with free-play nonlinearity has become one of the hottest and most challenging topics in the engineering field of aircraft aero-elasticity.The nonlinear aero-elastic behaviors of the control fin with free-play nonlinearity are analyzed.The reduced-order aerodynamic model in time-domain is obtained by using the minimum state approximation method,and then the nonlinear aero-elastic equations of the control fin can be obtained based on the Lagrange equation.Using the numerical method,the aero-elastic system behaviors with free-play nonlinearity in either pitch or plunge,or both of them are studied,including limit cycle oscillations(LCOs)and nonlinear dynamic responses.The numerical results are compared with those of the equivalent linearization method.The results show that the stiffness of pitch and plunge spring is of significant influence on the flutter boundary of the system.And when the free-plays are both in pitch and plunge,there exist complex dynamic phenomena including the multi-periodic LCOs and chaotic motions.

关 键 词：气动弹性 控制舵 间隙非线性 极限环 混沌 

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] O322[理学—一般力学与力学基础]