绕定轴转动的主动约束层阻尼板的振动控制研究

VIBRATION CONTROL OF ROTATING PLATES WITH ACTIVE CONSTRAINED LAYER DAMPING TREATMENT

对贴有主动约束层阻尼的转动悬臂板的动力学建模及振动控制问题进行了研究。悬臂板绕定轴以不同的定常角速度作面内转动,基于Kirchhoff复合板理论,利用Lagrange与有限元结合的方式导出了系统的运动微分方程。随后用静力分析验证了压电层作为主动约束层的作动效用,并给出了转动ACLD板的瞬态响应和稳态响应的数值仿真结果,对固定和转动情况下贴有PZT、PCLD和ACLD板的振动控制效果作了比较分析,结果表明ACLD可以作为一种有效的方式对转动悬臂板进行振动抑制。所得结果可以为转动柔性结构的系统辨识及其振动控制提供理论依据。

The dynamic modeling and vibration control of a rotating cantilever plate with fully covered active constrained layer damping (ACLD) treatment are investigated. The cantilever plate is rotating at different constant angular speeds about its normal axis in horizontal plane. The model is based on the Kirchhoff classical laminate theory. Lagrange formulation in conjunction with finite element method (FEM) is developed to drive the differential equations of motion. Static stress analysis is provided to verify the actuator’s effects of piezoelectric active constrained layer. Then the numerical simulation results of transient responses and steady state responses of rotating ACLD plate system are presented. In particular, the effects of different kinds of vibration suppressions including PZT (piezo-treated), PCLD (passive constrained layer damping) and ACLD applied to non-rotating and rotating plate system are investigated. Comparisons with the performance of PZT and conventional PCLD clearly demonstrate the merit of the ACLD as an effective means for suppressing the vibration of the rotating cantilever plates. The results of the study will be useful for system identification and vibration suppression of rotating flexible structures.