压电网络板的振动控制原理与控制效果

在给出压电网络板机电耦合动力学方程的基础上对其进行求解,将压电网络板的响应表示为子模态压电系统响应的线性组合.通过分析压电网络板在脉冲激励下子模态压电系统的响应行为,揭示压电网络板可以通过两种途径控制自身振动.基于对传递函数的分析进一步得到子模态压电系统的最优电学参数;在此基础上研究了针对某一阶子模态压电系统设计最优电学参数时,各阶子模态压电系统的响应行为以及压电网络板的多模态控制效果.研究结果表明,压电网络板具有多模态控制效果,特别地,当对板的某一阶次的振动控制具有较高要求时,通过对最优电学参数进行设计,电感电阻并联型压电网络板可满足要求.

Vibration-controlling mechanism and controlling effectiveness of plate with piezoelectric network

The given electromechanical coupled kinetic equations of the plate with piezoelectric network were solved by decomposing the responses into linear combination of sub-modal piezoelectric systems' responses. Through the research of the response behaviors of sub-modal piezoelectric systems when the coupled system was stimulated by a pulse, it is found that there are two different ways for the coupled system to dominate their vibration. The optimal electrical parameters of sub-modal piezoelectric systems were found through the analysis of transfer functions. Based on that, one of the sub-modal piezoelectric systems was set optimally; In this condition, the response behaviors of all sub-modal piezoelectric systems and the multiple-mode controlling effectiveness of the system were studied. The results show that the plate with piezoelectric network has the capacity to suppress multimode vibration; Particularly, when one modal requires higher control effect, this system with parallel resistor and inductor can satisfy the aforementioned request.