Abstract:

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.

Key words: Piezoelectric actuators, Plate structures； Shape control； Vibration suppression； Quadratic programming