带有振动抑制的压电结构动态形状主动控制

Dynamic Shape Control of Piezoelectric Structures with Vibration Suppression

针对压电结构在动态形状主动控制过程中的振动抑制问题,以压电纤维复合材料作动器驱动的悬臂板为研究对象,建立了结构有限元模型,并给出了控制方程。由于不合理的作动器电压加载方式会导致结构的瞬态和残余振动,影响形状控制精度和系统稳定性;本文在静态形状控制基础上,提出电压加载时间历程的优化问题。结合有限差分法和二次规划算法对优化问题进行求解。最后,以悬臂板弯曲形状控制为例,对所提动态形状控制算法进行了校验;并与阶跃、斜坡等电压加载方式进行了对比。结果表明,利用优化后的电压加载时间历程,能够有效抑制结构的瞬态和残余振动,提高动态形状控制效果。

The vibration suppression during the dynamic shape control of the piezoelectric structures is investigated in this paper. The object of this study is a cantilever plate structure with the actuation of the piezoelectric fiber composite materials. The structural finite element model is established and the control equations are given. Some irrational voltage profiles may result in transient and residual vibrations of the structure which would reduce the control precision and stability of the system. A voltage profile optimization problem is formulated based on the static shape control results. The optimization problem is solved using the finite difference method and the quadratic programming. In the end, the bending shape control cases are simulated to verify the effectiveness of the proposed dynamic shape control approach by comparison with the step and ramp voltage profiles. The results show that the transient and residual vibrations of the structure have been effectively suppressed using the optimal voltage profiles and the dynamic shape control performance has been improved.