压电悬臂板的非线性振动控制

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This paper deals with the measurement and control of the bending and torsional mode vibrations for flexible cantilever plates,and performs the optimal placement and nonlinear vibration control of piezoelectric sensors and actuators.In the investigation,first,a finite element model of a cantilever plate with bonded distributed piezoelectric patches is established.Next,the location placement of piezoelectric sensors/actuators is performed based on the established model and an energy dissipation method,and the decoupling of the bending and torsional mode vibrations on measurement and driving is achieved.Then,a nonlinear control algorithm is proposed and an experimental setup of the piezoelectric cantilever plate is constructed.Finally,a comparative research on the bending and torsional vibration control is carried out by experiments.The results demonstrate that the proposed nonlinear control algorithm can suppress the vibration of the cantilever plate more quickly,and the location placement of piezoelectric sensors/actuators helps to achieve the measurement and control decoupling of bending and torsional mode vibrations.针对柔性悬臂板结构弯曲和扭转模态振动的测量、控制问题,采用压电传感器和驱动器进行优化配置及非线性振动控制.首先,建立了粘贴分布式压电片的悬臂板有限元模型;其次,基于所建立的模型和一种能量耗散方法进行了压电驱动器/传感器的位置配置,实现了弯曲和扭转模态振动在检测及驱动上的解耦;最后,提出一种非线性控制算法,建立了压电悬臂板实验平台,通过实验进行弯曲和扭转模态振动控制的比较研究.结果表明,该非线性控制算法可以更快速地抑制振动,传感器/驱动器配置可以实现弯曲和扭转模态振动的测量及控制解耦.