This paper is devoted to investigate the flutter and thermal buckling properties of the functionally graded piezoelectric material (FGPM) plate in supersonic airflow, and the active flutter control is carried out under different temperature fields. The piezoelectric material component of the FGPM plate has gradient changes along the thickness, such as piezoelectricity and dielectric coefficients. The supersonic piston theory is used to evaluate the aerodynamic pressure. Based on the first-order shear deformation theory and Hamilton’s principle with the assumed mode method, the equation of motion of the structural system is deduced. The effect of aerodynamic pressure on the frequency and damping ratio of the FGPM plate is analyzed. Moreover, the flutter and thermal buckling properties of the FGPM and pure metal plates are compared to show the superior aerothermoelastic properties of the FGPM plates. The influences of volume fraction exponent and temperature on the flutter and thermal buckling properties of the FGPM plate are also examined in detail. The LQR controller is adopted to achieve active flutter control. The simulation results show that the present control method can largely improve dynamic stability of the FGPM plate in supersonic airflow and high-temperature environment.

中文翻译：

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超音速气流中功能梯度压电材料板的颤振和热屈曲特性及主动控制

本文专门研究功能梯度压电材料（FGPM）板在超声速气流中的颤动和热屈曲特性，并在不同温度场下进行主动颤动控制。FGPM板的压电材料组件沿厚度方向具有梯度变化，例如压电性和介电系数。超音速活塞理论用于评估空气动力压力。基于一阶剪切变形理论和汉密尔顿原理，采用假定模式方法，推导了结构系统的运动方程。分析了气动压力对FGPM板的频率和阻尼比的影响。此外，比较了FGPM板和纯金属板的颤动和热屈曲特性，以显示FGPM板的优异的热弹性特性。还详细研究了体积分数指数和温度对FGPM板的颤振和热屈曲性能的影响。采用LQR控制器来实现主动抖动控制。仿真结果表明，该控制方法可以大大提高FGPM板在超音速气流和高温环境下的动态稳定性。