基于压电陶瓷的矩形板振动主动控制最优位置的设计

Design for Optimal Position of Vibration Control for a Rectangular Plate Using PZT Patche

薄板结构因其固有的特性而被广泛应用于土木、机械、航空、航海、化工等工程领域.以四边简支板振动为例,首先基于基尔霍夫假设推导振动微分方程并通过ANSYS验证模态函数精确度;然后根据矩形板模态分析设计两种主动控制抑振器,在COMSOL中仿真出指定点处的位移和总能量.矩形板在一阶固有频率下振动,两种方案抑制率分别为45.08%和45.385%;最后根据抑振器设计方案搭建了矩形板振动实验平台,并设计了两种实验方案,测得自有振动下的矩形板进入稳定状态的时间提前了52.2%和26.37%,强迫振动下的矩形板振动达到了56%和65%的抑振,从而验证了控制策略的可行性.

Thin rectangular plates are widely used in engineering, mechanism, aviation, marine and chemistry industry due to its intrinsic characteristics.As for the vibration control method of the plates, firstly, based on Kirchhoff＇s plate theory, the governing differential equation of motion has been deduced, and its precision has been tested in ANSYS; then two kinds of active controllers have been designed according to its former model analysis, and the displacement and total energy transformation of the plate have been examined through COMSOL.According to the experiment, under the first-order perturbation, the vibration supression rates have achieved 45.08% and 45.385% respectively.Finally the experimental platform and two kinds of experimental modes have been established according to those former analysis, where the restable periods of vibration have been reduced by 52.2% and 26.37%.Under forced vibration,the controlling rates raise up to 56% and 65%.Thus,the control method is proven feasible.