一般粘弹性阻尼减震结构的随机响应分析
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摘要
为了分析设置粘弹性阻尼器减震结构的随机地震响应,首先采用一般积分型粘弹性阻尼器微积分方程组,建立了结构运动方程,应用模态应变能法将其解耦,并采用传递矩阵法进行求解,获得了结构响应解析表达式,推导出了设置粘弹性阻尼器耗能减震结构的位移与速度瞬态响应方差的一般解析解。算例分析表明了所采用方法的有效性和正确性,从而建立了设置粘弹性阻尼器耗能减震结构随机地震响应的完备解析分析方法。
In order to analyze the random seismic response of the damping structure with viscoelastic damper,the motion equations are firstly established by using the differential equations for viscoelastic dampers of general integration type,and then the modal strain energy method and the transfer matrix method are used to decouple and solve them,respectively. The analytic expression of the structures' response is obtained,and a general analytical solution of the displacement and velocity transient response of the energy dissipation structures with viscoelastic dampers are derived. The example analysis shows the validity and correctness of the proposed method. Thus,a complete analytical method for random seismic response of the energy dissipation structures with viscoelastic damper is developed.
In order to analyze the random seismic response of the damping structure with viscoelastic damper,the motion equations are firstly established by using the differential equations for viscoelastic dampers of general integration type,and then the modal strain energy method and the transfer matrix method are used to decouple and solve them,respectively. The analytic expression of the structures' response is obtained,and a general analytical solution of the displacement and velocity transient response of the energy dissipation structures with viscoelastic dampers are derived. The example analysis shows the validity and correctness of the proposed method. Thus,a complete analytical method for random seismic response of the energy dissipation structures with viscoelastic damper is developed.
引文
[1]金扬辉,谢晶.关于建筑结构设计中的抗震设计分析[J].工程技术(引文版),2016(11):00289-00289.
[2]邹万杰,马金凤.粘弹性阻尼器多高层隔震结构随机响应分析[J].广西大学学报(自然科学版),2017,42(1):116-126.
[3]HOUSNER G W,BERGMAN L A,CAUGHEY T K,et al.Structural control:Past,present,and future[J].Journal of Engineering Mechanics,1997,123(9):897-971.
[4]YAO J.T.Concept of structural control[J].Journal of the Structural Division,1972,98(7):1567-1574.
[5]SOONG T T,DARGRUSH G F.Passive engrgy dissipation systems in structural engineering[M].England:John Wiley and Ltd,1997.
[6]尚守平,崔向龙.基础隔震研究与应用的新进展及问题[J].广西大学学报(自然科学版),2016,41(1):21-28.
[7]杜永峰,赵丽洁,李万润,等.基础隔震结构橡胶支座时变非线性特性识别[J].振动、测试与诊断,2016,36(1):86-91.
[8]PARK S W.Analytical modeling of viscoelastic dampers for structural and vibration control[J].International Journal of Solids and Structures,2001,38(445):8065-8092.
[9]瞿伟廉,毛增达,张学俭,等.设置粘弹性阻尼器钢结构高层建筑抗震抗风设计的实用方法[J].建筑结构学报,1998,19(3):42-49.
[10]李创第,夏立志,葛新广,等.Maxwell粘滞阻尼器耗能结构的随机地震响应[J].桂林理工大学学报,2011,31(1):61-67.
[11]邹万杰,寇金鑫,李创第,等.带TMD及Maxwell阻尼器结构的随机地震响应[J].广西大学学报(自然科学版),2015,40(6):1352-1358.
[12]吴波,郭安薪.设有粘弹性阻尼器的结构体系的受力分析[J].世界地震工程,1998,14(3):6-14.
[13]李创第,丁昊,葛新广.基于传递函数法的单自由粘弹性减震整体系统随机响应分析[J].广西科技大学学报,2017,28(3):16-25.
[2]邹万杰,马金凤.粘弹性阻尼器多高层隔震结构随机响应分析[J].广西大学学报(自然科学版),2017,42(1):116-126.
[3]HOUSNER G W,BERGMAN L A,CAUGHEY T K,et al.Structural control:Past,present,and future[J].Journal of Engineering Mechanics,1997,123(9):897-971.
[4]YAO J.T.Concept of structural control[J].Journal of the Structural Division,1972,98(7):1567-1574.
[5]SOONG T T,DARGRUSH G F.Passive engrgy dissipation systems in structural engineering[M].England:John Wiley and Ltd,1997.
[6]尚守平,崔向龙.基础隔震研究与应用的新进展及问题[J].广西大学学报(自然科学版),2016,41(1):21-28.
[7]杜永峰,赵丽洁,李万润,等.基础隔震结构橡胶支座时变非线性特性识别[J].振动、测试与诊断,2016,36(1):86-91.
[8]PARK S W.Analytical modeling of viscoelastic dampers for structural and vibration control[J].International Journal of Solids and Structures,2001,38(445):8065-8092.
[9]瞿伟廉,毛增达,张学俭,等.设置粘弹性阻尼器钢结构高层建筑抗震抗风设计的实用方法[J].建筑结构学报,1998,19(3):42-49.
[10]李创第,夏立志,葛新广,等.Maxwell粘滞阻尼器耗能结构的随机地震响应[J].桂林理工大学学报,2011,31(1):61-67.
[11]邹万杰,寇金鑫,李创第,等.带TMD及Maxwell阻尼器结构的随机地震响应[J].广西大学学报(自然科学版),2015,40(6):1352-1358.
[12]吴波,郭安薪.设有粘弹性阻尼器的结构体系的受力分析[J].世界地震工程,1998,14(3):6-14.
[13]李创第,丁昊,葛新广.基于传递函数法的单自由粘弹性减震整体系统随机响应分析[J].广西科技大学学报,2017,28(3):16-25.