主被动混合压电网络悬臂梁结构的建模与比较

摘要

以 Euler-Bernoulli 悬臂梁作为研究对象，对主被动混合压电网络（Active-Passive Hybrid Piezoelectric Net-work，APPN）进行分析与优化。利用 Hamilton 原理和 Rayleigh-Ritz 法建立集成式和分离式 APPN 悬臂梁结构的动力学模型，并对 APPN 中的电阻和电感进行参数优化。在此基础上，利用速度反馈控制设计主动控制器，分别对集成式和分离式APPN 悬臂梁结构的开环和闭环特性进行数值仿真分析。仿真结果表明，两种结构形式的 APPN 均能够有效地抑制结构振动，集成式 APPN 在窄频带的振动控制性能优于纯主动控制，而分离式 APPN 则在更宽的频带具有比集成式 APPN 和纯主动控制更好的振动控制性能。%Taking an Euler-Bernoulli cantilever beam as the study object,active-passive hybrid piezoelectric network (APPN)was analyzed and optimized.Hamilton’s principle and Rayleigh-Ritz method were used to build the dynamic models of the cantilever beam with integrated and separated APPNs,respectively.Parametric optimization was performed for resistance and inductance in the APPN.Furthermore,the velocity feedback control was employed to design the active controller and the open-loop and closed-loop characteristics of the cantilever beams with integrated and separated APPNs,respectively were simulated andn analyzed.The numerical results showed that both integrated and separated APPNs can suppress the structures’vibrations effectively;compared with the pure active control,the integrated APPN has a better vibration control performance in narrow frequency bands,while the separated APPN has a better vibration control performance in broader frequency bands than both the integrated APPN and the pure active control do.