北京航空航天大学学报 ›› 2015, Vol. 41 ›› Issue (11): 1983-1993.doi: 10.13700/j.bh.1001-5965.2014.0703

• 论文 • 上一篇    下一篇

基于压电网络的四边固支板多阶共振抑制

李琳1,2, 李俊1,2, 易凯军3   

  1. 1. 北京航空航天大学能源与动力工程学院, 北京 100191;
    2. 北京航空航天大学先进航空发动机协同创新中心, 北京 100191;
    3. 里昂中央理工学院摩擦和系统动力学实验室, 里昂 69130
  • 收稿日期:2014-11-17 修回日期:2015-02-12 出版日期:2015-11-20 发布日期:2015-12-01
  • 通讯作者: 李琳(1956-),女,河北唐山人,教授,feililin@buaa.edu.cn,主要研究方向为航空发动机结构及零部件的动力特性分析及其减振技术. E-mail:eililin@buaa.edu.cn
  • 基金资助:
    国家自然科学基金(91016006)

Multi-mode vibration suppression of clamped plates based on piezoelectric networks

LI Lin1,2, LI Jun1,2, YI Kaijun3   

  1. 1. School of Energy and Power Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;
    2. Collaborative Innovation Center for Advanced Aero-Engine, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;
    3. Laboratoire de Tribologie et Dynamique des Systèmes, Ecole Centrale de Lyon, Lyon 69130, France
  • Received:2014-11-17 Revised:2015-02-12 Online:2015-11-20 Published:2015-12-01

摘要: 利用四边固支板横向自由振动的精确解作为模态坐标,在模态空间求解了四边固支压电网络板的机电耦合动力学方程.基于对压电网络板在模拟单点激励下谐响应行为的计算分析,得到了控制其各阶共振的压电网络电路元件最优电学参数.电感电阻并联型四边固支压电网络板与四边简支压电网络板不同,其具有多个局部最优电学参数.通过分析这些最优参数对其他阶共振的影响,发现四边固支压电网络板具有多阶共振抑制效果,与电阻相比,该效果对电感更加敏感.电感电阻并联型四边固支压电网络板可以实现比电阻型四边固支压电网络板更好的单模态振动抑制效果,但同时其多模态振动抑制效果会降低.

关键词: 四边固支板, 压电陶瓷, 电路网络, 振动抑制, 最优参数

Abstract: The exact solutions for transverse free vibrations of a clamped plate were adopted as the modal coordinates to solve the given electromechanical coupled kinetic equations of clamped piezo electro mechanical-plate in modal space. After the computational analysis was conducted for harmonic response of the clamped piezo electro mechanical-plate which was stimulated under single-point excitation force, the optimal parameters of electrical components in piezoelectric networks used to suppress different resonances were obtained. For the clamped piezo electro mechanical-plate with parallel resistors and inductors, it has more than one local optimal parameters comparing with a simply supported plate. The clamped piezo electro mechanical-plate has the ability to suppress multimode vibration by analyzing the effectiveness of these optimal parameters on other resonances. In addition, the effectiveness is more sensitive to inductance comparing with resistance. The clamped piezo electro mechanical-plate with parallel resistors and inductors is more effective than piezo electro mechanical-plate only with resistors in reducing resonant response at single resonant frequency, while the multiple-mode vibration suppression effectiveness of it with parallel resistors and inductors will be decreased.

Key words: clamped plate, piezoelectric ceramic, circuit networks, vibration suppression, optimal parameters

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