北京航空航天大学学报 ›› 2014, Vol. 40 ›› Issue (11): 1629-1636.doi: 10.13700/j.bh.1001-5965.2013.0641

• 论文 • 上一篇    下一篇

压电网络板的振动控制原理与控制效果

易凯军, 李琳   

  1. 北京航空航天大学 能源与动力工程学院, 北京 100191
  • 收稿日期:2013-11-06 出版日期:2014-11-20 发布日期:2014-12-02
  • 作者简介:易凯军(1988-),男,湖南长沙人,硕士生,ykjbuaa@126.com.
  • 基金资助:

    国家自然科学基金资助项目(91016006)

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

Yi Kaijun, Li Lin   

  1. School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China
  • Received:2013-11-06 Online:2014-11-20 Published:2014-12-02

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.

关键词: 压电复合板, 压电网络, 传递函数, 最优电学参数, 多模态控制

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.

Key words: piezoelectric composite plate, piezoelectric networks, transfer function, optimal electrical parameters, multiple-modal control, electromechanical coupling

中图分类号: 


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