Abstract: For the purpose of reducing vibration of bladed disk structures，the piezoelectric material was allocated to different sectors uniformly to form one special kind of bi-periodic system. The piezoelectric material was connected through the external circuit in different types of the parallel network and the series network. The dynamical equations of this electromechanical coupling system were constructed and dynamic characteristics were analyzed. The results suggest that，in the variation range of bladed disk model parameters in this paper，the bi-periodic piezoelectric network just changes the frequency of bladed disk structure little on the frequency veering region，no more than 2%. However，it changes the modal shape significantly，which splits from single nodal diameter to multi nodal diameters，the nodal diameter type depends on the bi-periodic number. The piezoelectric network also converts mechanical displacement into charge displacement. Meanwhile，the resistance element in the piezoelectric network improves modal damping ratios of the system efficiently. All attenuate vibration well. Finally，the modified modal assurance criterion(MMAC)was used to assess vibration suppression effect of the bi-periodic piezoelectric network system. It shows that the design of the bi-periodic number can effectively reduce vibration.

Key words: Vibration suppression；Bi-periodic system；Piezoelectric network；Modal characteristic；Mechanical displacement；Charge displacement

摘要： 以整体叶盘振动抑制为目的，利用压电材料在叶盘结构不同扇区形成异周期系统，并将与压电材料连接的外部电路并联或串联形成不同形式的网络，建立该机电耦合系统的动力学方程，分析其对叶盘结构动力学特性的影响效果。研究发现，双周期压电网络对叶盘结构的频率影响很小，在本文所研究的叶盘结构模型的参数变化范围内仅对频率转向区有轻微的影响，变化最大只有2%；但是双周期压电网络会对叶盘结构的模态振型产生很大的影响，会使原各阶单一节径振型变为多节径振型，节径种类数跟双周期数有关；压电网络还会把机械位移转化为电荷位移；同时压电网络中电阻元件的引入提高了系统的模态阻尼比。这些都会对叶盘结构的振动响应起到很好的抑制效果。最后，采用修正的模态置信因子MMAC对双周期压电网络系统进行了振动抑制特性的评估，结果表明，通过对结构系统双周期数的设计能有效提高振动抑制效果。

关键词: 振动抑制；双周期系统；压电网络；模态特性；机械位移；电荷位移