摘要
在几何非线性项的影响下,机翼外挂系统响应较为复杂。为了研究几何非线性对系统响应的影响,以后掠翼为模型,建立了后掠翼外挂系统的非线性运动微分方程,采用假设模态法求解了后掠翼振型函数,并利用伽辽金法对系统方程进行了离散得到了系统矩阵方程;利用MATLAB对系统方程进行了数值仿真,得到了不同速度范围的翼尖扭转分叉图,结合典型速度下翼尖扭转的相图与庞加莱截面图研究了非线性项对后掠翼外挂系统响应的影响。结果表明:当速度大于颤振临界速度后,系统会经历极限环振动、拟周期运动和混沌运动。
In terms of geometrical nonlinear,the response of wing external system is complicated.In order to analyze the influence of geometric nonlinearity on the system response,the nonlinear differential equation of the trailing wing was established.The mode function of the trailing wing was solved by the assumed mode method,and the system equation was discretized by Galerkin method to obtain the system matrix equation.The system equations were simulated by MATLAB,and the wing tip torsional bifurcations in different velocity ranges were obtained.Combined with the phase diagram and Poincare section diagram of wing tip torsional at typical velocity,the influence of nonlinear terms on the response of the swept wing outboard system was studied.The results show that when the speed is greater than the critical flutter speed,the system will experience limit cycle vibration,quasiperiodic motion and chaotic motion.
作者
肖艳平
王越
黄波
XIAO Yan-ping;WANG Yue;HUANG Bo(Civil Aviation Flight University of China,Sichuan Guanghan 618307,China)
出处
《机械设计与制造》
北大核心
2023年第8期6-10,共5页
Machinery Design & Manufacture
基金
中国民航飞行学院面上项目(J2019-081)。
关键词
几何非线性
后掠翼
外挂
响应
极限环振动
拟周期运动
Swept Wing
Store
Geometric Nonlinearity
Flutter
Limit Cycle Oscillation
Quasi-Periodic Motion
