基于布局优化的压电分流阻尼抑振实验研究

EXPERIMENTAL INVESTIGATION OF PIEZOELECTRIC SHUNT DAMPED VIBRATION CONTROL BASED ON OPTIMAL PLACEMENT

建立了带压电分流阻尼系统的四边固支正方形弹性薄板振动控制的实验模型。针对其前五阶模态振动响应的抑制问题,以压电元件存储的电能最大化为优化目标,对采用多个压电元件的压电分流阻尼系统进行了布局优化分析。将压电元件布局优化后的压电分流阻尼系统应用于弹性薄板的多阶模态振动响应的抑制实验,分别研究了不同压电元件数量和布局对抑振效果的影响。在压电分流阻尼抑振实验中,与分流电路开路时相比,电路闭路后弹性薄板的频响函数在对应的模态频率处的幅值分别降低了11.90dB、16.94dB、16.94dB、19.91dB和16.77dB,说明经过布局优化后的压电分流阻尼系统使弹性薄板的前五阶稳态响应都得到了很好的抑制。同时也进行了非优化布局的压电分流阻尼抑振实验,实验结果对比表明,对压电元件进行布局优化可以明显提高压电分流阻尼系统的抑振效果。

The optimal placement of PZT transducers for a piezoelectric shunt damped system are analyzed according to the vibration control of the first five modes of a clamped thin plate. The amount of electrical energy induced in the PZT transducers is adopted as the objective function of the placement optimization. To investigate the optimization criterion and the constraint conditions for the placement of piezoelectric transducers, different PZT transducers are used in four configurations of a plate with piezoelectric shunt damped system. Based on the placement optimization analysis, experiments for the vibration control of the thin plate are conducted with a RL series shunt circuit. The vibration suppression results of the optimized piezoelectric shunt damped system are compared with those of the non-optimized system for each configuration and the experimental results validate the effectiveness of piezoelectric shunt damped systems in controlling vibration responses of the first five modes of the plate. After the piezoelectric shunt circuit is closed and the shunt damping is in action, the amplitudes of the transfer functions at the first five natural frequencies drop about 11.90 dB, 16.94 dB, 16.94 dB, 19.91 dB and 16.77 dB, respectively. Furthermore, it is also verified that the use of optimal placement of piezoelectric transducers can effectively enhance the vibration control effect of piezoelectric shunt damped system.