带支撑Maxwell阻尼器耗能隔震结构的随机风振响应分析
|
摘要
对设置带支撑Maxwell阻尼器的高层耗能隔震结构的随机风振响应进行了研究。建立结构运动方程,基于传递函数法及随机振动理论,获得结构基于Davenport谱激励下位移和阻尼器受力响应方差,并将其分解为系列标准振子的线性组合,得到结构随机风振响应的解析表达式、阻尼器受力的随机响应、等效风荷载取值,从而建立了带支撑Maxwell阻尼器高层耗能隔震结构的随机风振响应解析分析方法。算例分析表明:支撑刚度对阻尼器的减震效果有着较大的影响,以上部结构风振位移响应为例,阻尼器的支撑刚度为1倍隔震层刚度比支撑刚度为0.001倍隔震层刚度的位移响应减小了30%左右。所获得的解析解对耗能隔震结构的设计和阻尼器的参数优化设计具有重要的意义。
The random wind-induced vibration response of high-rise energy-dissipation isolated structures with braced Maxwell dampers is studied. The equations of motion of structures are established, and on the basis of the transfer function method and the random vibration theory, the response variance of displacement and damper stress of the structure based on the Davenport spectrum are obtained. Through decomposing into a linear combination of a series of standard oscillators, the random wind-induced response of the structure, the random response of the damper and the analytical expression of the equivalent wind loads are obtained. Therefore an analytical method for analyzing the stochastic wind-induced vibration of high-rise energy dissipation structures with support Maxwell dampers is established. The results show that the support stiffness has great influences on the damping effect of the damper, taking the wind-induced displacement response of the superstructure as an example, the displacement response of the damper with 1-time stiffness of the isolation layer is about 30% less than that with 0.001-time stiffness of the isolation layer. The analytical solutions are of great significance to the design of energy-dissipation isolated structures and the parameter optimization design of dampers.
The random wind-induced vibration response of high-rise energy-dissipation isolated structures with braced Maxwell dampers is studied. The equations of motion of structures are established, and on the basis of the transfer function method and the random vibration theory, the response variance of displacement and damper stress of the structure based on the Davenport spectrum are obtained. Through decomposing into a linear combination of a series of standard oscillators, the random wind-induced response of the structure, the random response of the damper and the analytical expression of the equivalent wind loads are obtained. Therefore an analytical method for analyzing the stochastic wind-induced vibration of high-rise energy dissipation structures with support Maxwell dampers is established. The results show that the support stiffness has great influences on the damping effect of the damper, taking the wind-induced displacement response of the superstructure as an example, the displacement response of the damper with 1-time stiffness of the isolation layer is about 30% less than that with 0.001-time stiffness of the isolation layer. The analytical solutions are of great significance to the design of energy-dissipation isolated structures and the parameter optimization design of dampers.
引文
[1]CHRISTOPOULOS C,FILIATRAULT A.Principle of passive supplemental damping and seismic isolation[M].Pavia:Detsches Arzteblatt International,2013,105(12):222-223.
[2]熊仲明,俞茂宏,刘云贺,等.基础滑移隔震体系的地震响应计算[J].应用力学学报,2002,19(4):139-142.(XIONG Zhongming,YU Maohong,LIU Yunhe,et al.Seismic excitation calculating on base isolated system with sliding layer[J].Chinese journal of applied mechanics,2002,19(4):139-142(in Chinese)).
[3]黄文俊,李录平,祁立君,等.几种常见阻尼器的减振特性分析[J].振动与冲击,2007,26(7):40-42.(HUANG Wenjun,LI Luping,QI Lijun,et al.Damping characteristic analysis of several common dampers[J].Journal of vibration and shock,2007,26(7):40-42(in Chinese)).
[4]徐幼麟,张相庭.高耸结构与地基基础相互作用的风振响应分析[J].应用力学学报,1988(2):37-44.(XU Youlin,ZHANG Xiangting.The analysis of soil-tower structure interaction under wind excitation[J].Chinese journal of applied mechanics,1988(2):37-44(in Chinese)).
[5]饶晓佳.风对建筑的影响及抗风措施浅议[J].建筑工程技术与设计,2017(3):1133.(RAO Xiaojia.Wind effects on buildings and wind resistant measures on[J].Engineering and architectural and design,2017(3):1133(in Chinese)).
[6]程蓓,邓烜,李世伟,等.新型钢棒阻尼器隔震橡胶支座抗震性能试验研究[J].建筑结构学报,2016(8):37-43.(CHENG Bei,DENG Xuan,LI Shiwei,et al.Experimental study on the seismic performance of a new type of isolation rubber bearing with U-shaped steel bar damper[J].Journal of building structures,2016(8):37-43(in Chinese)).
[7]GHEE K C,KELLY J M.Application of fractional derivatives to seismic analysis of base-isolated models[J].Earthquake engineering&structural dynamics,2010,19(2):229-241.
[8]TRINDADE M A,BENJEDDOU A,OHAYON R.Modeling of frequency-dependent viscoelastic materials for active-passive vibration damping[J].Journal of speculative philosophy,2000,122(2):169-174.
[9]邹万杰,郭昭君,李创第.多自由度Maxwell结构基于传递矩阵法的风振响应解析法[J].桂林理工大学学报,2017,37(1):68-76.(ZOU Wanjie,GUO Zhaojun,LI Chuangdi.Analysis of wind induced vibration response based on transfer matrix method for multi-degree freedom Maxwell structure[J].Journal of Guilin university of technology,2017,37(1):68-76(in Chinese)).
[10]YAMADA K.Dynamic characteristics of SDOF structure with Maxwell element[J].Journal of engineering mechanics,2008,134(5):396-404.
[11]SINGH M P,VERMA N P,MORESCHI L M.Seismic analysis and design with Maxwell dampers[J].Journal of engineering mechanics,2003,129(3):273-282.
[12]PALMERI A.Correlation coefficients for structures with viscoelastic dampers[J].Engineering structures,2006,28(8):1197-1208.
[13]李创第,葛新广,邹万杰,等.一般非对称非经典结构响应的二阶实振子精确解耦法[J].应用力学学报,2014,31(2):212-217.(LIChuangdi,GE Xinguang,ZOU Wanjie,et al.Exact decoupling method of general asymmetric and non-classical structure in second-order real oscillatory vibration[J].Chinese journal of applied mechanics,2014,31(2):212-217(in Chinese)).
[14]ZAMBRANO A,INAUDI J A,KELLY J M.Modal coupling and accuracy of modal strain energy method[J].Journal of engineering mechanics,1996,122(7):603-612.
[15]OU J P,LONG X,LI Q S.Seismic response analysis of structures with velocity-dependent dampers[J].Journal of constructional steel research,2007,63(5):628-638.
[16]包日东,梁峰.传递矩阵法分析约束悬臂裂纹管道失稳临界流速[J].应用力学学报,2016,33(6):1093-1098.(BAO Ridong,LIANGFeng.Transfer matrix method to analyze critical instability flow velocity of restrained cantilever pipe conveying fluid with cracks[J].Chinese journal of applied mechanics,2016,33(6):1093-1098(in Chinese)).
[17]陈华霆,谭平,和雪峰,等.振型叠加法合理振型数目的确定[J].应用力学学报,2017,34(3):404-409.(CHEN Huating,TAN Ping,HE Xuefeng,et al.Determination of reasonable mode number for mode superposition approach[J].Chinese journal of applied mechanics,2017,34(3):404-409(in Chinese)).
[2]熊仲明,俞茂宏,刘云贺,等.基础滑移隔震体系的地震响应计算[J].应用力学学报,2002,19(4):139-142.(XIONG Zhongming,YU Maohong,LIU Yunhe,et al.Seismic excitation calculating on base isolated system with sliding layer[J].Chinese journal of applied mechanics,2002,19(4):139-142(in Chinese)).
[3]黄文俊,李录平,祁立君,等.几种常见阻尼器的减振特性分析[J].振动与冲击,2007,26(7):40-42.(HUANG Wenjun,LI Luping,QI Lijun,et al.Damping characteristic analysis of several common dampers[J].Journal of vibration and shock,2007,26(7):40-42(in Chinese)).
[4]徐幼麟,张相庭.高耸结构与地基基础相互作用的风振响应分析[J].应用力学学报,1988(2):37-44.(XU Youlin,ZHANG Xiangting.The analysis of soil-tower structure interaction under wind excitation[J].Chinese journal of applied mechanics,1988(2):37-44(in Chinese)).
[5]饶晓佳.风对建筑的影响及抗风措施浅议[J].建筑工程技术与设计,2017(3):1133.(RAO Xiaojia.Wind effects on buildings and wind resistant measures on[J].Engineering and architectural and design,2017(3):1133(in Chinese)).
[6]程蓓,邓烜,李世伟,等.新型钢棒阻尼器隔震橡胶支座抗震性能试验研究[J].建筑结构学报,2016(8):37-43.(CHENG Bei,DENG Xuan,LI Shiwei,et al.Experimental study on the seismic performance of a new type of isolation rubber bearing with U-shaped steel bar damper[J].Journal of building structures,2016(8):37-43(in Chinese)).
[7]GHEE K C,KELLY J M.Application of fractional derivatives to seismic analysis of base-isolated models[J].Earthquake engineering&structural dynamics,2010,19(2):229-241.
[8]TRINDADE M A,BENJEDDOU A,OHAYON R.Modeling of frequency-dependent viscoelastic materials for active-passive vibration damping[J].Journal of speculative philosophy,2000,122(2):169-174.
[9]邹万杰,郭昭君,李创第.多自由度Maxwell结构基于传递矩阵法的风振响应解析法[J].桂林理工大学学报,2017,37(1):68-76.(ZOU Wanjie,GUO Zhaojun,LI Chuangdi.Analysis of wind induced vibration response based on transfer matrix method for multi-degree freedom Maxwell structure[J].Journal of Guilin university of technology,2017,37(1):68-76(in Chinese)).
[10]YAMADA K.Dynamic characteristics of SDOF structure with Maxwell element[J].Journal of engineering mechanics,2008,134(5):396-404.
[11]SINGH M P,VERMA N P,MORESCHI L M.Seismic analysis and design with Maxwell dampers[J].Journal of engineering mechanics,2003,129(3):273-282.
[12]PALMERI A.Correlation coefficients for structures with viscoelastic dampers[J].Engineering structures,2006,28(8):1197-1208.
[13]李创第,葛新广,邹万杰,等.一般非对称非经典结构响应的二阶实振子精确解耦法[J].应用力学学报,2014,31(2):212-217.(LIChuangdi,GE Xinguang,ZOU Wanjie,et al.Exact decoupling method of general asymmetric and non-classical structure in second-order real oscillatory vibration[J].Chinese journal of applied mechanics,2014,31(2):212-217(in Chinese)).
[14]ZAMBRANO A,INAUDI J A,KELLY J M.Modal coupling and accuracy of modal strain energy method[J].Journal of engineering mechanics,1996,122(7):603-612.
[15]OU J P,LONG X,LI Q S.Seismic response analysis of structures with velocity-dependent dampers[J].Journal of constructional steel research,2007,63(5):628-638.
[16]包日东,梁峰.传递矩阵法分析约束悬臂裂纹管道失稳临界流速[J].应用力学学报,2016,33(6):1093-1098.(BAO Ridong,LIANGFeng.Transfer matrix method to analyze critical instability flow velocity of restrained cantilever pipe conveying fluid with cracks[J].Chinese journal of applied mechanics,2016,33(6):1093-1098(in Chinese)).
[17]陈华霆,谭平,和雪峰,等.振型叠加法合理振型数目的确定[J].应用力学学报,2017,34(3):404-409.(CHEN Huating,TAN Ping,HE Xuefeng,et al.Determination of reasonable mode number for mode superposition approach[J].Chinese journal of applied mechanics,2017,34(3):404-409(in Chinese)).
© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号 地址：北京市海淀区学院路29号 邮编：100083 电话：办公室：(+86 10)66554848；文献借阅、咨询服务、科技查新：66554700 |