压电网络复合板的振动抑制实验研究
|
摘要
主要研究了压电网络系统针对薄板的振动抑制特性,在对压电网络复合板机电耦合动力学方程分析的基础上,通过设计模拟电感电路解决了压电网络复合板振动实验中最优电感值过大的问题,从理论和实验上分析比较了电阻型和电感电阻并联型压电网络复合板振动控制效果及其特点。实验证明采用均匀化处理方法建立的机电耦合动力学方程能够正确预测压电网络复合板的动力学特性,同时实验验证了压电网络的电路模态和压电复合板的机械模态的耦合关系,明确了最优电学参数选取原则,为压电网络复合板的最优参数设计提供了依据。
The paper mainly studies the vibration control of the plate with piezoelectric network. After giving the dynamic equations of the plate with piezoelectric network based on the homogeneous assumption,we resolved the problem that the necessary inductance in the network is too large to be realized in practice. Two kinds of simulated inductance circuit are designed. The respective vibration control effect and characteristic of the composite plate with two kinds of piezoelectric network,that is,the network only with resistors and that with resistors and inductors,are compared experimentally. Experiments prove that the electromechanical coupling dynamic equations based on the homogeneous assumption can well predict the dynamic characteristics of the plate with piezoelectric network. The coupling relationship between electrical modes and mechanical vibration modes of piezoelectric composite plate is also verified. A suggestion for determining the optimal electrical parameters to have a good effect of vibration suppression is given,which can be used as a reference for practical design of the composite plate with piezoelectric network.
The paper mainly studies the vibration control of the plate with piezoelectric network. After giving the dynamic equations of the plate with piezoelectric network based on the homogeneous assumption,we resolved the problem that the necessary inductance in the network is too large to be realized in practice. Two kinds of simulated inductance circuit are designed. The respective vibration control effect and characteristic of the composite plate with two kinds of piezoelectric network,that is,the network only with resistors and that with resistors and inductors,are compared experimentally. Experiments prove that the electromechanical coupling dynamic equations based on the homogeneous assumption can well predict the dynamic characteristics of the plate with piezoelectric network. The coupling relationship between electrical modes and mechanical vibration modes of piezoelectric composite plate is also verified. A suggestion for determining the optimal electrical parameters to have a good effect of vibration suppression is given,which can be used as a reference for practical design of the composite plate with piezoelectric network.
引文
[1]WU S Y.Method for multiple mode shunt damping of structural vibration using a single PZT transducer[C]∥Proceedings of SPIE:Smart Structures and Materials:Smart Structures and Intelligent Systems.Bellingham,WA:SPIE,1998,3327:159-167.
[2]FLEMING A J,BEHRENS S,MOHEIMANI S O R.Reducing the inductance requirements of piezoelectric shunt damping systems[J].Smart Materials and Structures,2003,12(3):57-64.
[3]刘学.基于压电材料的多模态振动控制方法研究[D].北京:北京航空航天大学,2012.LIU X.Research on multimode vibration control method basedon piezoelectric material[D].Beijing:Beihang University,2012(in Chinese).
[4]JI H L,QIU J H,NIE H,et al.Semi-active vibration control of an aircraft panel using synchronized switch damping method[J].International Journal of Applied Electromagnetics and Mechanics,2014,46(4):878-893.
[5]张付兴,阎绍泽.压电陶瓷片与多种电路机电耦合的阻尼特性[J].清华大学学报(自然科学版),2005,45(8):1040-1043.ZHANG F X,YAN S Z.Damping characteristics of piezoceramics shunted by various types of electrical circuits[J].Journal of Tsinghua University(Science and Technology),2005,45(8):1040-1043(in Chinese).
[6]GUYOMAR D,RICHARD C,RICHARD T.Sound wave transmission reduction through a plate using piezoelectric synchronized switch damping technique[J].Journal of Intelligent Material Systems and Structures,2008,19(7):791-803.
[7]DELL'ISOLA F,VIDOLI S.Damping of bending waves in truss beams by electrical transmission lines with PZT actuators[J].Archive of Applied Mechanics,1998,68(9):626-636.
[8]DELL'ISOLA F,MAURINI C,PORFIRI M.Passive damping of beam vibrations through distributed electric networks and piezoelectric transducers:Prototype design and experimental validation[J].Smart Materials and Structures,2004,13(2):299-308.
[9]VIDOLI S,DELL'ISOLA F.Vibration control in plates by uniformly distributed PZT actuators interconnected via electric networks[J].European Journal of Mechanics-A/Solids,2001,20(3):435-456.
[10]PARK C H,INMAN D J.Enhanced piezoelectric shunt design[J].Shock and Vibration,2003,10(2):127-133.
[11]TANG J,WANG K W.Vibration delocalization of nearly periodicstructures using coupled piezoelectric networks[J].Journal of Vibration and Acoustics,2003,125(1):95-108
[12]YU H,WANG K W,ZHANG J.Piezoelectric networking with enhanced eectromechanical coupling for vibration delocalization of mistuned periodic structures—theory and experiment[J].Journal of Sound and Vibration,2006,295(1-2):246-265.
[13]FAN Y,LI L.Vibration dissipation characteristics of symmetrical piezoelectric networks with passive branches[C]∥ASME Turbo Expo 2012:Turbine Technical Conference and Exposition.New York:ASME,2012,7:1263-1273.
[14]LOSSOUARN B,AUCEJO M,DEJ F.Multimodal vibration damping through a periodic array of piezoelectric patches connected to a passive network[C]∥Proceedings of SPIE 9431,Active and Passive Smart Structures and Integrated Systems2015.Bellingham,WA:SPIE,9431:94311A-1-94311A-14.
[15]李琳,易凯军.压电网络板的机电耦合动力学特性[J].北京航空航天大学学报,2014,40(7):873-880.LI L,YI K J.Electromechanical coupled dynamic characteristics of the plate with piezoelectric network[J].Journal of Beijing University of Aeronautics and Astronautics,2014,40(7):873-880(in Chinese).
[16]李琳,李俊,易凯军.基于压电网络的四边固支板多阶共振抑制[J].北京航空航天大学学报,2015,41(11):1983-1993.LI L,LI J,YI K J.Multi-mode vibration suppression of clamped plates based on piezoelectric networks[J].Journal of Beijing University of Aeronautics and Astronautics,2015,41(11):1983-1993(in Chinese).
[17]易凯军,李琳.压电网络板的振动控制原理与控制效果[J].北京航空航天大学学报,2014,40(11):1629-1636.YI K J,LI L.Vibration-controlling mechanism and controlling effectiveness of plate with piezoelectric network[J].Journal of Beijing University of Aeronautics and Astronautics,2014,40(11):1629-1636(in Chinese).
[18]RIORDAN R H S.Simulated inductors using differential amplifiers[J].Electronics Letters,1967,3(2):50-51.
[19]KIRANON W,PAWARANGKOON P.Floating inductance simulation based on current conveyors[J].Electronics Letters,1997,33(21):1748-1749.
[2]FLEMING A J,BEHRENS S,MOHEIMANI S O R.Reducing the inductance requirements of piezoelectric shunt damping systems[J].Smart Materials and Structures,2003,12(3):57-64.
[3]刘学.基于压电材料的多模态振动控制方法研究[D].北京:北京航空航天大学,2012.LIU X.Research on multimode vibration control method basedon piezoelectric material[D].Beijing:Beihang University,2012(in Chinese).
[4]JI H L,QIU J H,NIE H,et al.Semi-active vibration control of an aircraft panel using synchronized switch damping method[J].International Journal of Applied Electromagnetics and Mechanics,2014,46(4):878-893.
[5]张付兴,阎绍泽.压电陶瓷片与多种电路机电耦合的阻尼特性[J].清华大学学报(自然科学版),2005,45(8):1040-1043.ZHANG F X,YAN S Z.Damping characteristics of piezoceramics shunted by various types of electrical circuits[J].Journal of Tsinghua University(Science and Technology),2005,45(8):1040-1043(in Chinese).
[6]GUYOMAR D,RICHARD C,RICHARD T.Sound wave transmission reduction through a plate using piezoelectric synchronized switch damping technique[J].Journal of Intelligent Material Systems and Structures,2008,19(7):791-803.
[7]DELL'ISOLA F,VIDOLI S.Damping of bending waves in truss beams by electrical transmission lines with PZT actuators[J].Archive of Applied Mechanics,1998,68(9):626-636.
[8]DELL'ISOLA F,MAURINI C,PORFIRI M.Passive damping of beam vibrations through distributed electric networks and piezoelectric transducers:Prototype design and experimental validation[J].Smart Materials and Structures,2004,13(2):299-308.
[9]VIDOLI S,DELL'ISOLA F.Vibration control in plates by uniformly distributed PZT actuators interconnected via electric networks[J].European Journal of Mechanics-A/Solids,2001,20(3):435-456.
[10]PARK C H,INMAN D J.Enhanced piezoelectric shunt design[J].Shock and Vibration,2003,10(2):127-133.
[11]TANG J,WANG K W.Vibration delocalization of nearly periodicstructures using coupled piezoelectric networks[J].Journal of Vibration and Acoustics,2003,125(1):95-108
[12]YU H,WANG K W,ZHANG J.Piezoelectric networking with enhanced eectromechanical coupling for vibration delocalization of mistuned periodic structures—theory and experiment[J].Journal of Sound and Vibration,2006,295(1-2):246-265.
[13]FAN Y,LI L.Vibration dissipation characteristics of symmetrical piezoelectric networks with passive branches[C]∥ASME Turbo Expo 2012:Turbine Technical Conference and Exposition.New York:ASME,2012,7:1263-1273.
[14]LOSSOUARN B,AUCEJO M,DEJ F.Multimodal vibration damping through a periodic array of piezoelectric patches connected to a passive network[C]∥Proceedings of SPIE 9431,Active and Passive Smart Structures and Integrated Systems2015.Bellingham,WA:SPIE,9431:94311A-1-94311A-14.
[15]李琳,易凯军.压电网络板的机电耦合动力学特性[J].北京航空航天大学学报,2014,40(7):873-880.LI L,YI K J.Electromechanical coupled dynamic characteristics of the plate with piezoelectric network[J].Journal of Beijing University of Aeronautics and Astronautics,2014,40(7):873-880(in Chinese).
[16]李琳,李俊,易凯军.基于压电网络的四边固支板多阶共振抑制[J].北京航空航天大学学报,2015,41(11):1983-1993.LI L,LI J,YI K J.Multi-mode vibration suppression of clamped plates based on piezoelectric networks[J].Journal of Beijing University of Aeronautics and Astronautics,2015,41(11):1983-1993(in Chinese).
[17]易凯军,李琳.压电网络板的振动控制原理与控制效果[J].北京航空航天大学学报,2014,40(11):1629-1636.YI K J,LI L.Vibration-controlling mechanism and controlling effectiveness of plate with piezoelectric network[J].Journal of Beijing University of Aeronautics and Astronautics,2014,40(11):1629-1636(in Chinese).
[18]RIORDAN R H S.Simulated inductors using differential amplifiers[J].Electronics Letters,1967,3(2):50-51.
[19]KIRANON W,PAWARANGKOON P.Floating inductance simulation based on current conveyors[J].Electronics Letters,1997,33(21):1748-1749.