基于压电作动器/传感器的升力面颤振主动抑制

ACTIVE FLUTTER SUPPRESSION OF A LIFTING SURFACE BASED ON PIEZOELECTRIC ACTUATORS/SENSORS

利用压电材料的正压电效应与逆压电效应对悬臂板结构复合材料机翼进行观测与颤振抑制.采用不同的压电材料分别作为作动器与传感器,建立了含有压电层的复合材料层合板的有限元模型,采用偶极子网格法(DLM)计算升力面的亚音速非定常空气动力,用Roger近似法对频域空气动力进行有理化近似,在此基础上建立了力-电-气动耦合系统的控制方程.针对多输入多输出(MIMO)系统,设计LQG最优控制律,对比系统的开、闭环颤振特性.应用Runge-Kutta法求解系统的时域动响应,数值仿真验证了该方法对颤振抑制的有效性.

Typical application of piezoelectric materials was used in active flutter suppression of a swept- back cantilevered composite laminate plate. The structures containing distributed piezoelectric sensors and actuators have self- monitoring and control capabilities due to the direct / converse piezoelectric effect. A generalized finite element formulation was derived for modeling the electromechanical coupling system. The doublet lattice method was used to model the unsteady aerodynamic loads acting on the lifting surface. Modal transformation and Roger approximation were involved to develop the equation of motion in state- space. LQG controller based on multi-input multi- output system was designed. The flutter characteristic of the closed- loop system was compared with the open- loop system by stability analysis. The flutter suppression results were presented in the time domain using the Runge- Kutta method. Numerical simulations demonstrate the effectiveness of the above methods.