材料黏滞系数与损耗因子的频率相关性研究
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摘要
针对黏弹性材料KV阻尼模型的黏滞系数与复阻尼模型的损耗因子间的关系,由单自由度体系的结构动力学分析,并基于结构振动响应的一致性,推导建立了黏滞系数与损耗因子在结构线性稳态简谐振动和自由振动时的一般关系式;并利用该关系式,试验研究了纤维混凝土材料黏滞系数和损耗因子的频率相关性.结果表明,黏滞系数与损耗因子间的关系在稳态简谐振动和自由振动时的表达形式相同,只是频率取值不同;纤维混凝土的损耗因子和黏滞系数都随频率增加而降低,且在0.5～1.0Hz频段降幅显著,而后渐趋平缓;相比于素混凝土,纤维混凝土的黏滞系数和损耗因子与激振频率的相关性更强.试验所得纤维混凝土频率相关的黏滞系数、损耗因子及推导所建立的两参数关系式为构建物理意义明确且又便于结构振动反应分析的阻尼系数或阻尼矩阵奠定了基础.
According to the relationship between viscosity coeffcient of viscoelastic damping model and loss tangent of complex damping model,and the consistency of structural vibration response,the general expression of viscosity coeffcient and loss tangent of viscoelatic material was deduced by SDOF’s dynamic analysis when the system was in steady-state harmonic vibration or free vibration.Furthermore,the experimental investigation was carried out to study the frequency-dependent viscosity coeffcient and loss tangent of fiber reinforced concrete material.It has been shown that,for the steady-state harmonic vibration and free vibration,the expressions of viscosity coeffcient and loss tangent were identical except the given vales of frequency.The loss tangent and viscoelastic coeffcient of fiber reinforced concrete was decreased with increasing frequency,and decreased shapely among 0.5 to 1.0Hz,then decreased smoothly.Compared with the control plain concrete,the influence of frequency on loss tangent and viscoelastic coeffcient of fiber reinforced concrete was more significant.The frequency-dependent viscosity coeffcient and loss tangent and the deduced two parameters expression,validated by experiments,are significant important for building damping coeffcient or damping matrix which have explicit physical meaning and is convenient for structural vibration response analysis.
According to the relationship between viscosity coeffcient of viscoelastic damping model and loss tangent of complex damping model,and the consistency of structural vibration response,the general expression of viscosity coeffcient and loss tangent of viscoelatic material was deduced by SDOF’s dynamic analysis when the system was in steady-state harmonic vibration or free vibration.Furthermore,the experimental investigation was carried out to study the frequency-dependent viscosity coeffcient and loss tangent of fiber reinforced concrete material.It has been shown that,for the steady-state harmonic vibration and free vibration,the expressions of viscosity coeffcient and loss tangent were identical except the given vales of frequency.The loss tangent and viscoelastic coeffcient of fiber reinforced concrete was decreased with increasing frequency,and decreased shapely among 0.5 to 1.0Hz,then decreased smoothly.Compared with the control plain concrete,the influence of frequency on loss tangent and viscoelastic coeffcient of fiber reinforced concrete was more significant.The frequency-dependent viscosity coeffcient and loss tangent and the deduced two parameters expression,validated by experiments,are significant important for building damping coeffcient or damping matrix which have explicit physical meaning and is convenient for structural vibration response analysis.
引文
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3 Mcdaniel JG,Dupont P,Salvino L.A wave approach toestimating frequency-dependent damping under transientloading.Journal of Sound and Vibration,2000,231(2):433-449
4张辉东,王元丰,江辉.不同参数取值对复阻尼模型结构抗震性能的影响.建筑结构学报,2009,30(6):94-100(ZhangHuidong,Wang Yuanfeng,Jiang Hui.Effect of differentparameters on seismic performance of complex dampingstructures.Journal of Building Structure,2009,30(6):94-100(in Chinese))
5朱镜清.频率相关黏性阻尼理论及有关问题的解.振动与冲击,1992,11(4):1-7(Zhu Jingqing.Frequency dependent vis-cous damping theory and some related problems.Journalof Vibration and Shock.1992,11(4):1-7(in Chinese))
6胡海岩.结构阻尼模型及系统时域动响应.应用力学学报,1993,10(1):34-43(Hu Haiyan.Structural damping model andsystem dynamic response at time domain.Chinese Journalof Applied Mechanics,1993,10(1):34-43(in Chinese))
7梁超锋,刘铁军.钢筋混凝土框架结构阻尼模型研究.振动与冲击,2010,29(7):169-173(Liang Chaofeng,Liu Tiejun.Damping model of a reinforced concrete frame structure.Journal of Vibration and Shock,2010,29(7):169-173(inChinese))
8 Ou JP,Liu TJ,Li JL.Dynamic and seismic property ex-periments of high damping concrete and its frame models.Journal of Wuhan University of Technology-Mater,2008,23(1):1-6
9梁超锋,欧进萍.结构阻尼与材料阻尼的关系.地震工程与工程振动,2006,26(1):49-55(Liang Chaofeng,Ou Jinping.Re-lationship between structural damping and material damp-ing.Earthquake Engineering and Engineering Vibration,2006,26(1):49-55(in Chinese))
10欧进萍,刘铁军,梁超锋.复合纤维增强混凝土阻尼测试装置开发与试验研究.实验力学,2006,21(4):403-409(Ou Jin-ping,Liu Tiejun,Liang Chaofeng.Development of damp-ing measuring instrument and experimental research forhybrid fiber reinforced concretes.Journal of ExperimentalMechanics,2006,21(4):403-409(in Chinese))
2 Adhikari S,Woodhouse J.Identification of damping:part1,viscous damping.Journal of Sound and Vibration,2001,243(1):43-61
3 Mcdaniel JG,Dupont P,Salvino L.A wave approach toestimating frequency-dependent damping under transientloading.Journal of Sound and Vibration,2000,231(2):433-449
4张辉东,王元丰,江辉.不同参数取值对复阻尼模型结构抗震性能的影响.建筑结构学报,2009,30(6):94-100(ZhangHuidong,Wang Yuanfeng,Jiang Hui.Effect of differentparameters on seismic performance of complex dampingstructures.Journal of Building Structure,2009,30(6):94-100(in Chinese))
5朱镜清.频率相关黏性阻尼理论及有关问题的解.振动与冲击,1992,11(4):1-7(Zhu Jingqing.Frequency dependent vis-cous damping theory and some related problems.Journalof Vibration and Shock.1992,11(4):1-7(in Chinese))
6胡海岩.结构阻尼模型及系统时域动响应.应用力学学报,1993,10(1):34-43(Hu Haiyan.Structural damping model andsystem dynamic response at time domain.Chinese Journalof Applied Mechanics,1993,10(1):34-43(in Chinese))
7梁超锋,刘铁军.钢筋混凝土框架结构阻尼模型研究.振动与冲击,2010,29(7):169-173(Liang Chaofeng,Liu Tiejun.Damping model of a reinforced concrete frame structure.Journal of Vibration and Shock,2010,29(7):169-173(inChinese))
8 Ou JP,Liu TJ,Li JL.Dynamic and seismic property ex-periments of high damping concrete and its frame models.Journal of Wuhan University of Technology-Mater,2008,23(1):1-6
9梁超锋,欧进萍.结构阻尼与材料阻尼的关系.地震工程与工程振动,2006,26(1):49-55(Liang Chaofeng,Ou Jinping.Re-lationship between structural damping and material damp-ing.Earthquake Engineering and Engineering Vibration,2006,26(1):49-55(in Chinese))
10欧进萍,刘铁军,梁超锋.复合纤维增强混凝土阻尼测试装置开发与试验研究.实验力学,2006,21(4):403-409(Ou Jin-ping,Liu Tiejun,Liang Chaofeng.Development of damp-ing measuring instrument and experimental research forhybrid fiber reinforced concretes.Journal of ExperimentalMechanics,2006,21(4):403-409(in Chinese))
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