压电结构系统机电耦合的强化与多阶共振抑制

提高压电系统的机电耦合程度可以提高压电分支电路对于结构机械振动的抑制效果.提出了一种可同时提高压电系统多阶模态机电耦合程度、进而实现对系统多阶共振进行控制的方法.首先通过对压电悬臂梁模型的理论研究揭示了将压电片的电极离散、并以不同方式连接可以导致系统的机电耦合程度发生改变的现象.在此基础上导出可刻划此现象的模态机电耦合函数；提出通过对模态机电耦合函数的优化寻求压电片电极的最佳离散方式和最佳连接方式，以获得对应某一模态的最大机电耦合函数值.为了对多阶共振抑制，提出引入选通电路，通过对含有选通电路的模态机电耦合函数的参数优化实现同时提高压电系统多模态机电耦合程度、进而抑制多阶共振的方法.结合数值实例对此方法进行说明.

Enhancement of electromechanical coupling for piezoelectric system and suppression of multimode vibration

Enhancing the electromechanical coupling of a piezoelectric system is an effective way to suppress the vibration of the system by the piezoelectric shunt technique. A method was proposed which can increase the multiple-mode electromechanical coupling for a piezoelectric system. From the research of piezoelectric cantilever beam model, it was found that the electromechanical coupling depends on the position of the electrode on the piezoelectric materials, as well as the way to connect to the shunted circuits. The modal electromechanical coupling function was proposed to describe this phenomenon. For the sake to get one modal coupling maximum, the best position of the electrode and the best connection ways can be obtained through optimizing the modal electromechanical coupling function. The ‘current flowing’ circuits was proposed to make multiple-mode electromechanical coupling enhancement possible and to realize multimode vibration suppression. This method was verified through numerical examples.