自变频TMD减振性能的数值模拟
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摘要
为改善被动调谐质量阻尼器(TMD)对频率调谐敏感的缺点,本文利用Hilbert-Huang变换识别主结构瞬时频率的技术,提出了一种自变频TMD。自变频TMD由可调节质量的箱体质量块、弹簧、阻尼器和伺服控制系统组成,能够实时调节自身质量,使调谐自身频率与结构的瞬时响应频率一致。本文介绍了自变频TMD的一种具体构造形式和控制算法,并用数值模拟对比了在不同TMD控制下的模型结构,以及在不同频率的简谐激励和人行激励作用下的加速度响应,结果表明:自变频TMD在TMD频率偏离主结构频率以及激励频率偏离TMD控制频率时,均能实时调节自身频率,降低主结构的加速度响应。
In order to improve the sensitivity of passive tuned mass damper( TMD) to frequency tuning,Hilbert-Huang transform is used to identify the instantaneous frequency of the main structure,and a semi-active TMD( SATMD) is propose,which consists of adjustable mass,spring,damper and servo control system. It can adjust its own mass in real-time to tune its frequency to the structure.A specific structure form and the control algorithm of the SATMD are introduce,a numerical simulation in different frequency of harmonic excitation and human-induced excitation under the action of structural response are carried out. The results show that when the TMD frequency deviates from the main structure frequency and excitation frequency deviation TMD control,SATMD can adjust its frequency in real-time to reduce the acceleration response of the main structure.
In order to improve the sensitivity of passive tuned mass damper( TMD) to frequency tuning,Hilbert-Huang transform is used to identify the instantaneous frequency of the main structure,and a semi-active TMD( SATMD) is propose,which consists of adjustable mass,spring,damper and servo control system. It can adjust its own mass in real-time to tune its frequency to the structure.A specific structure form and the control algorithm of the SATMD are introduce,a numerical simulation in different frequency of harmonic excitation and human-induced excitation under the action of structural response are carried out. The results show that when the TMD frequency deviates from the main structure frequency and excitation frequency deviation TMD control,SATMD can adjust its frequency in real-time to reduce the acceleration response of the main structure.
引文
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[3]Nimmen K,Lombaert G,Roeck G,Broeck P.Vibration Serviceability of Footbridges:Evaluation of the Current Codes of Practice[J].Engineering Structures,2014,59(324):448~461
[4]Nagarajaiah S,Varadarajan N.Short Time Fourier Transform Algorithm for Wind Response Control of Buildings with Variable Stiffness TMD[J].Engineering Structures,2005,27(3):431~331
[5]孙万泉,李庆斌.基于形状记忆合金的TMD半主动控制[J].哈尔滨工业大学学报,2009,41(6):164~168Sun Wan-quan,Li Qing-bin.TMD Semi-Active Control Based on Shape Memory Alloy[J].Journal of Harbin Institute of Technology,2009,41(6):164~168(in Chinese)
[6]Ghorbani-Tanha A K,Rahimian M,Noorzad A.A Novel Semiactive Variable Stiffness Device and Its Application in A New Semiactive Tuned Vibration Absorber[J].Journal of Engineering Mechanics,2011,137(6):390~399
[7]Li C,Cao B.Hybrid Active Tuned Mass Dampers for Structures under the Ground Acceleration[J].Structural Control and Health Monitoring,2015,22(4):757~773
[8]Nagarajaiah S.Adaptive Passive,Semi-Active,Smart Tuned Mass Dampers:Identification and Control Using Empirical Mode Decomposition,Hilbert Transform,and Short-Term Fourier Transform[J].Structural Control and Health Monitoring 2009;16(7-8):800~841
[9]Sun C,Nagarajaiah S.Study on Semi-Active Tuned Mass Damper with Variable Damping and Stiffness under Seismic Excitations[J].Structural Control and Health Monitoring,2014,21(6):890~906
[10]韩建平,李达文.基于Hilbert-Huang变换和自然激励技术的模态参数识别[J].工程力学,2010,27(8):54~59Han Jian-ping,Li Da-wen.Modal Parameter Identification Based on Hilbert-Huang Transform and Natural Excitation Technique[J].Engineering Mechanics,2010,27(8):54~59(in Chinese)
[11]Occhiuzzi A,Spizzuoco M,Ricciardelli F.Loading Models and Response Control of Footbridges Excited By Running Pedestrians[J].Structural Control and Health Monitoring,2008,15(3):349~368
[12]Bachmann H.‘Lively’Footbridges:A Real Challenge[A].Footbridge 2002-Proceedings of the International Conference on the Design and Dynamic Behaviour of Footbridges[C],OTUA:Paris,2002
[2]顾金钧,赵煜澄,邵克华.九江长江大桥应用新型TMD抑制吊杆涡振[J].土木工程学报,1994,27(3):3~13Gu Jin-jun,Zhao Yu-chen,Shao Ke-hua.Jiujiang Yangtze River Bridge Used New Type TMD Inhibit Derrick Vortex Vibration[J].China Civil Engineering Journal,1994,27(3):3~13(in Chinese)
[3]Nimmen K,Lombaert G,Roeck G,Broeck P.Vibration Serviceability of Footbridges:Evaluation of the Current Codes of Practice[J].Engineering Structures,2014,59(324):448~461
[4]Nagarajaiah S,Varadarajan N.Short Time Fourier Transform Algorithm for Wind Response Control of Buildings with Variable Stiffness TMD[J].Engineering Structures,2005,27(3):431~331
[5]孙万泉,李庆斌.基于形状记忆合金的TMD半主动控制[J].哈尔滨工业大学学报,2009,41(6):164~168Sun Wan-quan,Li Qing-bin.TMD Semi-Active Control Based on Shape Memory Alloy[J].Journal of Harbin Institute of Technology,2009,41(6):164~168(in Chinese)
[6]Ghorbani-Tanha A K,Rahimian M,Noorzad A.A Novel Semiactive Variable Stiffness Device and Its Application in A New Semiactive Tuned Vibration Absorber[J].Journal of Engineering Mechanics,2011,137(6):390~399
[7]Li C,Cao B.Hybrid Active Tuned Mass Dampers for Structures under the Ground Acceleration[J].Structural Control and Health Monitoring,2015,22(4):757~773
[8]Nagarajaiah S.Adaptive Passive,Semi-Active,Smart Tuned Mass Dampers:Identification and Control Using Empirical Mode Decomposition,Hilbert Transform,and Short-Term Fourier Transform[J].Structural Control and Health Monitoring 2009;16(7-8):800~841
[9]Sun C,Nagarajaiah S.Study on Semi-Active Tuned Mass Damper with Variable Damping and Stiffness under Seismic Excitations[J].Structural Control and Health Monitoring,2014,21(6):890~906
[10]韩建平,李达文.基于Hilbert-Huang变换和自然激励技术的模态参数识别[J].工程力学,2010,27(8):54~59Han Jian-ping,Li Da-wen.Modal Parameter Identification Based on Hilbert-Huang Transform and Natural Excitation Technique[J].Engineering Mechanics,2010,27(8):54~59(in Chinese)
[11]Occhiuzzi A,Spizzuoco M,Ricciardelli F.Loading Models and Response Control of Footbridges Excited By Running Pedestrians[J].Structural Control and Health Monitoring,2008,15(3):349~368
[12]Bachmann H.‘Lively’Footbridges:A Real Challenge[A].Footbridge 2002-Proceedings of the International Conference on the Design and Dynamic Behaviour of Footbridges[C],OTUA:Paris,2002