基于形状的复合材料层合板振动主动控制研究

根据Hamilton原理,建立了覆盖压电传感器／激振器的复合材料层合板的运动方程．并借助于压电方程、层合板理论得到了压电传感器、激振器的输出与输入方程。根据压电片随机布置产生的控制效果来确定最优整体压电片的形状。最后给出了计算实例,结果表明把压电片布置在靠近固定端和沿轴向布片为最优位置,可以达到比整体布片更优的控制效果。

Studies on Active Vibration Control of a Composite Laminated Plate Based on Shape

In this paper,the equations of motion of a composite laminated plate with piezoelectric sensors/actuators are built by Hamilton's principle.The piezoelectric equation and classical laminated plate theory are used to formulate the output/input equations of piezoelectric sensors/actuators. The optimal shape of a whole piezoelectric film can be taken by comparing the control effects of all possible placements of a definite number of piezoelectric pieces.Numerical results indicate that in order to achieve an optimal control effect,the piezoelectric film should be placed close to the fixed end of the plate and along its axial direction.