非均匀电场下功能梯度压电材料板的振动主动控制

针对传统分层压电构件在连接处较容易破坏的问题,使用功能梯度压电材料板中压电材料组分来实现结构的振动主动控制。提出了一个改进的功能梯度材料特性分布方程,该方程由两个参数独立地控制压电材料总体积分数和沿厚度方向的材料梯度分布形式。基于材料特性在横向的梯度变化,推导了非均匀电场下机电耦合系统的运动方程。在振动控制中,使用速度反馈控制方法获得了有效的主动阻尼。在此基础上,研究了压电材料分布类型、梯度分布指数和压电材料总体积分数对功能梯度压电材料板振动控制的影响。结果表明,功能梯度压电材料板中压电材料分布对振动控制效果有较大影响;通过优化功能梯度压电材料板控制电压的施加位置,可以获得良好的振动抑制效果。

Active Vibration Control of Functionally Graded PiezoelectricMaterial Plate with the Non-uniform Electric Field

As for the problem that the conventional layered piezoelectric member is easily broken at the joint, the present paper is concerned with the active vibration control of functionally graded piezoelectric material (FGPM) plate using the piezoelectric material component as actuator. An improved material parameters distribution equation of functionally gradient material is proposed, in which the total volume fraction of piezoelectric materials and the material gradient distribution type along the thickness direction are independently controlled by two parameters. The equation of motion of electromechanical coupling system is deduced based on the gradient change of material properties. A velocity feedback control method is used to obtain an effective active damping in the vibration control. The influences of distribution type, volume fraction index and total volume fraction of piezoelectric material on the vibration control of FGPM plate are investigated. The calculation results show that the vibration control is strongly affected by the distribution of piezoelectric materials in FGPM plate. Furthermore, the excellent control effect can be obtained by optimizing the position of external control voltage in the thickness direction.