两自由度气动弹性系统亚临界颤振的时滞控制  

Time-Delay Control of Subcritical Flutter in Two-Degree-of-Freedom Aeroelastic System

作　　者：瞿思雨 刘豪杰[1] 高秀敏 黄锐[1] Qu Siyu;Liu Haojie;Gao Xiumin;Huang Rui(College of Aerospace Engineering,Nanjing University of Aeronautics and Astronautics,Nanjing 210016,China;School of Physical and Mathematical Sciences,Nanjing Tech University,Nanjing 211816,China)

机构地区：[1]南京航空航天大学航空学院,南京210016 [2]南京工业大学数理科学学院,南京211816

出　　处：《动力学与控制学报》2024年第8期42-49,共8页Journal of Dynamics and Control

摘　　要：因气动或结构非线性因素所引发的亚临界颤振,使得飞行器在低于线性颤振临界速度时发生极限环振荡,导致机载设备振动环境恶化、飞行控制性能下降等问题,给飞行安全造成隐患.本文针对带有俯仰刚度非线性的两自由度二元翼段,设计了基于俯仰速度反馈的亚临界颤振时滞控制器.首先,基于拉格朗日原理建立了两自由度二元翼段的非线性气动弹性数学模型,利用MATCONT数值软件获得了系统的亚临界颤振分岔特性.然后,利用多尺度法得到了带有时滞俯仰速度反馈的闭环控制系统近似解析解,通过稳定性切换理论得到了系统颤振的稳定边界,获得了亚临界颤振时滞控制器的参数范围.最后,通过不同风速下非线性气动弹性系统的闭环数值仿真,验证了所设计亚临界颤振时滞控制器的有效性.数值仿真结果表明,基于俯仰速度反馈的气动弹性时滞控制器可以将亚临界颤振转换为有益的超临界颤振,且大幅降低极限环幅值.Subcritical flutter caused by aerodynamic or structural nonlinear factors causes limit cycle oscillation in aircraft below the linear flutter critical velocity.This phenomenon leads to deteriorations in the vibration environment of airborne equipment,degradation of flight control performance and other problems,posing a hidden danger to safe flight within the flight envelope.In this paper,a subcritical flutter time-delay feedback controller based on pitching velocity signal is designed for a 2-DOF wing section with nonlinear stiffness in pitch degree of freedom.At first,a nonlinear aeroelastic mathematical model of a 2-DOF wing section is established by using Lagrange principle.Then,the method of multiple scales is used to derive the analytical solution of the closed-loop control system with time-delay pitching velocity feedback.Subsequently,the stability boundary of the flutter system is determined through stability switching theory,providing the parameter range for the subcritical flutter delay controller.Finally,the effectiveness of this subcritical flutter time-delay feedback controller is verified through closed-loop numerical simulations of nonlinear aeroelastic systems under various wind speeds.The simulation results demonstrate that an aeroelastic time-delay feedback controller based on pitching velocity signal can convert subcritical flutter into beneficial supercritical flutter and significantly reducing limit cycle amplitudes.

关 键 词：机翼颤振 多尺度法 非线性 时滞反馈控制 

分 类 号：O322[理学—一般力学与力学基础] V215.34[理学—力学]