Vibration-controlling mechanism and controlling effectiveness of plate with piezoelectric network
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摘要: 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.Abstract: 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.
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