压电主动结构的设计、建模及随机振动分析
|
摘要
采用新型智能材料进行结构振动主动控制是目前抗震领域的前沿方向,其中,新型抗震装置的开发,主动控制动力学模型的建立以及合理、高效的分析方法是保证主动控制技术应用到工程实际中的关键.本文根据压电堆频响范围宽、响应速度快的特点,结合机械设计二次开发,设计了压电主动杆件,阐述了主动杆件双向受力的工作原理;运用Hamilton原理,推导了压电主动杆件的有限元方程,根据主动杆件在实际应用中的装配方式,对主动杆件的自由度进行了缩减,并建立了加入主动杆件的整体结构动力学方程;基于随机振动理论,推导了结构振动主动控制方程的虚拟激励求解方法;最后对一主动控制结构模型进行了随机振动分析,高效的得到了主动控制方程随机振动解.为压电主动杆件在结构抗震中的应用提供了依据.
Using intelligent material for structure vibration active control is the frontier in the anti-seismic field,where developing the new type seismic device,building the active control dynamics model,then through reasonable and efficient method for analysis is the key which ensures the active control technology applied in the engineering.Based on piezoelectric pile’s wide range frequency response and response speed,and through the process of mechanical design,piezoelectric driving lever is designed to,expound the working principle of two-way force driving lever.Hamilton principle is applied to,deduce the finite element equation of the driving lever.According to the driving lever assembly form,freedom degrees of the finite element model,and the active control system dynamics equation is established.Based on the pseudo-excitation method,the random vibration solution is given.Finally,through simulation of a active control model,the active control equation random vibration solution efficiency is obtained.The paper provides a basis for piezoelectric driving lever in structural seismic application.
Using intelligent material for structure vibration active control is the frontier in the anti-seismic field,where developing the new type seismic device,building the active control dynamics model,then through reasonable and efficient method for analysis is the key which ensures the active control technology applied in the engineering.Based on piezoelectric pile’s wide range frequency response and response speed,and through the process of mechanical design,piezoelectric driving lever is designed to,expound the working principle of two-way force driving lever.Hamilton principle is applied to,deduce the finite element equation of the driving lever.According to the driving lever assembly form,freedom degrees of the finite element model,and the active control system dynamics equation is established.Based on the pseudo-excitation method,the random vibration solution is given.Finally,through simulation of a active control model,the active control equation random vibration solution efficiency is obtained.The paper provides a basis for piezoelectric driving lever in structural seismic application.
引文
[1]AGRAWAL A K,XU Z,HE W L.Ground Motion Pulse Based Active Control of a Linear Base-isolated Bench-mark Building[J].Journal Structural Control and Health Monitoring,2005,13(2/3):792-808.
[2]李书进,瞿伟廉,王军武.压电材料智能控制器对框架结构地震反应的主动控制[J].地震工程与工程振动,2000,20(1):100-104.LI Shu-jin,QU Wei-lian,WANG Jun-wu.Piezoelectric Intelligent Control Device and Its Active Control for Earthquake Induced Responses of Frame Structure[J].Earthquake Engineering and Engineering Vibration,2000,20(1):100-104.
[3]欧进萍.结构振动控制[M].北京:科学出版社,2003:540.O Jin-ping.Structural Vibration Control[M].Beijing:Science Press,2003:540.
[4]李宏男,李军,宋钢兵.采用压电智能材料的土木工程结构控制研究进展[J].建筑结构学报,2005,26(3):1-8,29.LI Hong-nan,LI Jun,SONG Gang-bing.Progress of Study on Smart Control for Civil Engineering Structures U-sing Piezoelectric Materials[J].Journal of Building Structures,2005,26(3):1-8,29.
[5]http://www.wutnews.net/news/subject/2006211/p04.htm.
[6]WANG S Y,QUEK S T,ANG K K.Dynamic stability analysis of finite element modeling of piezoelectric composite plates[J].International Journal of Solids and Structures,2004,41(3-4):745-764.
[7]ISHIMURA Kosei,NATORI M,HIGUCHI Ken,et al.Integrated stability analysis of large space structures based on potential energy consideration[J].Structural Dynamics and Materials Conference,2003,4:2661-2666.
[8]王社良,马乾瑛,朱军强,等.一种压电套筒式拉压双向受力主动抗震控制装置[P]:101736829A.WANG She-liang,MA Qian-ying,ZHU Jun-qiang,et al.A Piezoelectric Doubleaction Seismic Control Driver[P]:101736829A.
[9]应隆安,陈传淼.有限元理论与方法:第二分册[M].北京:科学出版社,2009:389-709.YING Long-an,CHEN Chuan-miao.Finite Element Theory and Method:The Second Volume[M].Beijing:Science Press,2009:389-709.
[10]孙立宁,楚中毅,曲东升,等.压电智能结构有限元动力模型及其振动主动控制的研究[J].高技术通讯,2004,14(11):61-64.SUN Li-ning,CHU Zhong-yi,QU Dong-sheng,et al.Research of Finite Element Dynamical Model and Active Vibration Control for Piezo Smart Structure[J].High Technology Letters,2004,14(11):61-64.
[11]李东旭.大型挠性空间桁架结构动力学分析与模糊振动控制[M].北京:科学出版社,2008:207.LI Dong-xu.Large Flexible Space Truss Structure:Dynamic Analysis and Vibration Fuzzy Control[M].Beijing:Science Press,2008:207.
[12]戴新进.复合材料结构随机振动的虚拟激励法及在航空航天领域的应用[D].大连:大连理工大学,2007.DAI Xin-jin.PEM Based Random Vibration Analysis of Composite Structures and Its Applications in Aero/Astronautical Engineering[D].Dalian:Dalian University of Technolog,2007.
[13]克拉夫R W.结构动力学[M].彭津,王光远,译.北京:科学出版社,1981:418.Clough R W.Structural Dynamics[M].PENG Jin,WANG Guang-yuang,Translated.Beijing:Science Press,1981:418.
[14]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004:296.LIN Jia-hao,ZHANG Ya-hui.Pseudo-excitation Method of Random Vibration[M].Beijing:Science Press,2004:296.
[15]李璐.基于虚拟激励法的火箭仪器舱随机振动研究[D].大连:大连理工大学,2011.LI Lu.Random Vibration Analysis of the Rocket Instrument Cabinet Based on the Pseudo-exeitation Method[D].Dalian:Dalian University of Technology,2011.
[16]王社良,马乾瑛,朱军强,等.压电主动杆件在结构抗震控制中的优化设计及实验研究[J].地震工程与工程振动,2010,30(2):113-118.WANG She-liang,MA Qian-ying,ZHU Jun-qiang,et al.Optimization Design of The Piezoelectric Driving Bar and Test for Anti-Seismic Control[J].Journal of Earthquake Engineering and Engineering Vibration,2010,30(2):113-118.
[2]李书进,瞿伟廉,王军武.压电材料智能控制器对框架结构地震反应的主动控制[J].地震工程与工程振动,2000,20(1):100-104.LI Shu-jin,QU Wei-lian,WANG Jun-wu.Piezoelectric Intelligent Control Device and Its Active Control for Earthquake Induced Responses of Frame Structure[J].Earthquake Engineering and Engineering Vibration,2000,20(1):100-104.
[3]欧进萍.结构振动控制[M].北京:科学出版社,2003:540.O Jin-ping.Structural Vibration Control[M].Beijing:Science Press,2003:540.
[4]李宏男,李军,宋钢兵.采用压电智能材料的土木工程结构控制研究进展[J].建筑结构学报,2005,26(3):1-8,29.LI Hong-nan,LI Jun,SONG Gang-bing.Progress of Study on Smart Control for Civil Engineering Structures U-sing Piezoelectric Materials[J].Journal of Building Structures,2005,26(3):1-8,29.
[5]http://www.wutnews.net/news/subject/2006211/p04.htm.
[6]WANG S Y,QUEK S T,ANG K K.Dynamic stability analysis of finite element modeling of piezoelectric composite plates[J].International Journal of Solids and Structures,2004,41(3-4):745-764.
[7]ISHIMURA Kosei,NATORI M,HIGUCHI Ken,et al.Integrated stability analysis of large space structures based on potential energy consideration[J].Structural Dynamics and Materials Conference,2003,4:2661-2666.
[8]王社良,马乾瑛,朱军强,等.一种压电套筒式拉压双向受力主动抗震控制装置[P]:101736829A.WANG She-liang,MA Qian-ying,ZHU Jun-qiang,et al.A Piezoelectric Doubleaction Seismic Control Driver[P]:101736829A.
[9]应隆安,陈传淼.有限元理论与方法:第二分册[M].北京:科学出版社,2009:389-709.YING Long-an,CHEN Chuan-miao.Finite Element Theory and Method:The Second Volume[M].Beijing:Science Press,2009:389-709.
[10]孙立宁,楚中毅,曲东升,等.压电智能结构有限元动力模型及其振动主动控制的研究[J].高技术通讯,2004,14(11):61-64.SUN Li-ning,CHU Zhong-yi,QU Dong-sheng,et al.Research of Finite Element Dynamical Model and Active Vibration Control for Piezo Smart Structure[J].High Technology Letters,2004,14(11):61-64.
[11]李东旭.大型挠性空间桁架结构动力学分析与模糊振动控制[M].北京:科学出版社,2008:207.LI Dong-xu.Large Flexible Space Truss Structure:Dynamic Analysis and Vibration Fuzzy Control[M].Beijing:Science Press,2008:207.
[12]戴新进.复合材料结构随机振动的虚拟激励法及在航空航天领域的应用[D].大连:大连理工大学,2007.DAI Xin-jin.PEM Based Random Vibration Analysis of Composite Structures and Its Applications in Aero/Astronautical Engineering[D].Dalian:Dalian University of Technolog,2007.
[13]克拉夫R W.结构动力学[M].彭津,王光远,译.北京:科学出版社,1981:418.Clough R W.Structural Dynamics[M].PENG Jin,WANG Guang-yuang,Translated.Beijing:Science Press,1981:418.
[14]林家浩,张亚辉.随机振动的虚拟激励法[M].北京:科学出版社,2004:296.LIN Jia-hao,ZHANG Ya-hui.Pseudo-excitation Method of Random Vibration[M].Beijing:Science Press,2004:296.
[15]李璐.基于虚拟激励法的火箭仪器舱随机振动研究[D].大连:大连理工大学,2011.LI Lu.Random Vibration Analysis of the Rocket Instrument Cabinet Based on the Pseudo-exeitation Method[D].Dalian:Dalian University of Technology,2011.
[16]王社良,马乾瑛,朱军强,等.压电主动杆件在结构抗震控制中的优化设计及实验研究[J].地震工程与工程振动,2010,30(2):113-118.WANG She-liang,MA Qian-ying,ZHU Jun-qiang,et al.Optimization Design of The Piezoelectric Driving Bar and Test for Anti-Seismic Control[J].Journal of Earthquake Engineering and Engineering Vibration,2010,30(2):113-118.
版权所有：© 2023 中国地质图书馆 中国地质调查局地学文献中心