基于能量分析的复阻尼模型结构抗震性能
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摘要
由于当前动力分析中所使用的阻尼模型无法描述结构内未知的材料非线性能量耗散,基于应力相关复阻尼理论,推导出多自由度复阻尼系统的震动能量方程,研究了复阻尼模型的结构震动响应和材料能量耗散规律,计算了构件和结构的时变材料损耗因子.研究结果表明,在地震总输入能量中,材料阻尼耗能占很大比例,并随时间单调增加,结构的材料阻尼耗能及其变化率、动能、应变能均随着能量输入的增加而增加.通过对损耗因子的计算表明,与传统方法相比,采用时变形式而非常数形式的材料损耗因子能够更精细地体现材料阻尼效应.
Since the damping models used in current dynamic analysis could not describe the unknown material nonlinear energy dissipation in structures,the seismic energy equation for multiple degrees of freedom(MDOF) complex damping system was derived based on the stress related complex damping theory.The structure seismic response and material energy dissipation rule of the complex damping model were studied,and the material time varying loss factor of components and structures was calculated.The results show that in the total earthquake input energy,the material damping energy dissipation accounts for a large proportion,and monotonously increases with prolonging time.The material damping energy dissipation as well as its change rate,kinetic energy and strain energy of the structure all increase with increasing the input energy.The calculation of the loss factor indicates that compared with the conventional method,the material loss factor with adopting time varying form rather than constant form can exhibit the material damping effect more precisely.
Since the damping models used in current dynamic analysis could not describe the unknown material nonlinear energy dissipation in structures,the seismic energy equation for multiple degrees of freedom(MDOF) complex damping system was derived based on the stress related complex damping theory.The structure seismic response and material energy dissipation rule of the complex damping model were studied,and the material time varying loss factor of components and structures was calculated.The results show that in the total earthquake input energy,the material damping energy dissipation accounts for a large proportion,and monotonously increases with prolonging time.The material damping energy dissipation as well as its change rate,kinetic energy and strain energy of the structure all increase with increasing the input energy.The calculation of the loss factor indicates that compared with the conventional method,the material loss factor with adopting time varying form rather than constant form can exhibit the material damping effect more precisely.
引文
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[6]张辉东,王元丰.复阻尼模型三维钢框架结构动力响应研究[J].沈阳建筑大学学报,2009,25(1):50-55.(ZHANG Hui-dong,WANG Yuan-feng.Study on 3Dsteel frame structure w ith complex damping theory[J].Journal of Shenyang Jianzhu University,2009,25(1):50-55.)
[7]张辉东,王元丰.复阻尼模型结构地震时程响应研究[J].工程力学,2010,27(1):109-115.(ZHANG Hui-dong,WANG Yuan-feng.Study onseismic time-history response of structures w ith com-plex damping[J].Engineering Mechanics,2010,27(1):109-115.)
[8]张辉东,王元丰,江辉.不同参数取值对应力相关复阻尼模型结构抗震性能影响[J].建筑结构学报,2009,30(6):94-100.(ZHANG Hui-dong,WANG Yuan-feng,JIANG Hui.Effect of different parameters on seismic performanceof complex damping structures[J].Journal of Buil-ding Structures,2009,30(6):94-100.)
[9]江辉,朱晞,张辉东.MDOF桥墩结构基于能量的抗震性能分析方法[J].北京交通大学学报,2009,33(4):94-100.(JIANG Hui,ZHU Xi,ZHANG Hui-dong.Energybased seismic performance analysis of MDOF bridgepiers[J].Journal of Beijing Jiaotong University,2009,33(4):94-100.)
[10]魏新磊,周云.基于结构能量分析的抗震设计新方法的研究[J].世界地震工程,2003,19(3):62-67.(WEI Xin-lei,ZHOU Yun.Researches on new me-thods of seismic design of structures based on energyconcept[J].World Earthquake Engineering,2003,19(3):62-67.)
[2]Chopra A K.结构动力学:理论及其在地震工程中的应用[M].北京:高等教育出版社,2007.(Chopra A K.Dynamics of structures:theory and app-lications to earthquake engineering[M].Beijing:High Education Press,2007.)
[3]Gounaris G D,Anifantis N K.Structural damping de-termination by finite element approach[J].Compu-ters and Structures,1999,73(1):445-452.
[4]Wu J R,Liu P F,Li Q S.Effects of amplitude de-pendent damping and time constant on w ind inducedresponses of super tall building[J].Computers andStructures,2007(85):1165-1176.
[5]Li Q S,Yang K,Wong C K,et al.The effect of ampli-tude-dependent damping on wind-induced vibration of asuper tall building[J].Journal of Wind Engineering andIndustrial Aerodynamics,2003(91):1175-1198.
[6]张辉东,王元丰.复阻尼模型三维钢框架结构动力响应研究[J].沈阳建筑大学学报,2009,25(1):50-55.(ZHANG Hui-dong,WANG Yuan-feng.Study on 3Dsteel frame structure w ith complex damping theory[J].Journal of Shenyang Jianzhu University,2009,25(1):50-55.)
[7]张辉东,王元丰.复阻尼模型结构地震时程响应研究[J].工程力学,2010,27(1):109-115.(ZHANG Hui-dong,WANG Yuan-feng.Study onseismic time-history response of structures w ith com-plex damping[J].Engineering Mechanics,2010,27(1):109-115.)
[8]张辉东,王元丰,江辉.不同参数取值对应力相关复阻尼模型结构抗震性能影响[J].建筑结构学报,2009,30(6):94-100.(ZHANG Hui-dong,WANG Yuan-feng,JIANG Hui.Effect of different parameters on seismic performanceof complex damping structures[J].Journal of Buil-ding Structures,2009,30(6):94-100.)
[9]江辉,朱晞,张辉东.MDOF桥墩结构基于能量的抗震性能分析方法[J].北京交通大学学报,2009,33(4):94-100.(JIANG Hui,ZHU Xi,ZHANG Hui-dong.Energybased seismic performance analysis of MDOF bridgepiers[J].Journal of Beijing Jiaotong University,2009,33(4):94-100.)
[10]魏新磊,周云.基于结构能量分析的抗震设计新方法的研究[J].世界地震工程,2003,19(3):62-67.(WEI Xin-lei,ZHOU Yun.Researches on new me-thods of seismic design of structures based on energyconcept[J].World Earthquake Engineering,2003,19(3):62-67.)
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