基于随机响应的隔震体系简化模型参数计算
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摘要
为简化计算,将隔震结构等效为双自由度体系简化模型.论述了利用结构随机响应评判隔震简化模型参数几种不同取值方式的一般原则,建立了计算简化体系等效参数的多目标优化参数识别模型.取简化结构与原结构主要随机响应的方差作为目标函数,用结构基本周期等效的条件确定简化体系优化初值,并用复合形法进行交互式优化运算.文末采用一个实际隔震工程作为算例,显示了采用结构随机响应进行隔震结构简化模型等效参数识别的优越性.
The isolated structure was expressed with an equivalent 2-DOF system.The general principle of evaluating the performance of different approaches to calculating equivalent parameters of simplified isolated model was discussed,and a mathematical model for parameter identification of equivalent system was established using multi-objective optimization technique.The squared deviation of several main random responses of the simplified system and the original system as well was taken as the objective function of minimization,the initial value was determined based on the equivalence of fundamental period of the structures,and the optimization problem was solved using interactive complex method.An actual isolated structure was taken as its numerical example,and the advantage of identification of equivalent parameters for simplified isolated model using random responses is exhibited.
The isolated structure was expressed with an equivalent 2-DOF system.The general principle of evaluating the performance of different approaches to calculating equivalent parameters of simplified isolated model was discussed,and a mathematical model for parameter identification of equivalent system was established using multi-objective optimization technique.The squared deviation of several main random responses of the simplified system and the original system as well was taken as the objective function of minimization,the initial value was determined based on the equivalence of fundamental period of the structures,and the optimization problem was solved using interactive complex method.An actual isolated structure was taken as its numerical example,and the advantage of identification of equivalent parameters for simplified isolated model using random responses is exhibited.
引文
[1]Haiyan Hu.Proceedings of the 5th International Conference onVibration Engineering[C].Beijing:China Aviation IndustryPress,2002.26-32.
[2]李中锡,周锡元.规则型隔震房屋的自振特性和地震反应分析方法[J].建筑科学,2001,17(5):14-18.
[3]武田寿一.建筑物隔震防振与控制[M].纪晓惠,陈良,鄢宁,译.北京:中国建筑工业出版社,1997.
[4]KELLY J M.The role of damping in seismic isolation[J].Earthq Engrg and Struc Dyn,1999,28(1):3-20.
[5]宋贞网,王修信.橡胶垫基础隔震建筑的地震作用简化计算[J].东南大学学报:自然科学版,2002,32(6):964-968.
[6]杜永峰,张迪,党育,等.基础隔震结构简化模型的振动参数识别[J].世界地震工程,2001,17(2):53-58.
[7]杜永峰,白莉,夏亚峰,等.小震下隔震结构的随机响应及失效概率分析[J].兰州理工大学学报,2004,30(6):101-105.
[8]李慧,姚云龙,杜永峰.叠层橡胶支座与柱串联体系动力失稳特性探讨[J].世界地震工程,2005,21(2):18-23.
[9]DU Yong-feng,LI Hui,SPENCER Jr,et al.Effect of non-pro-portional damping on seismic isolation[J].Journal of Structur-al Control,2002,9(3):205-236.
[10]杜永峰,赵国藩.隔震结构中非经典阻尼影响及最佳阻尼比分析[J].地震工程与工程振动,2000,20(3):100-107.
[11]杜永峰,党育,李慧,等.基于非比例阻尼模型的隔震结构动力分析软件[J].建筑结构,2004,34(6):32-35.
[2]李中锡,周锡元.规则型隔震房屋的自振特性和地震反应分析方法[J].建筑科学,2001,17(5):14-18.
[3]武田寿一.建筑物隔震防振与控制[M].纪晓惠,陈良,鄢宁,译.北京:中国建筑工业出版社,1997.
[4]KELLY J M.The role of damping in seismic isolation[J].Earthq Engrg and Struc Dyn,1999,28(1):3-20.
[5]宋贞网,王修信.橡胶垫基础隔震建筑的地震作用简化计算[J].东南大学学报:自然科学版,2002,32(6):964-968.
[6]杜永峰,张迪,党育,等.基础隔震结构简化模型的振动参数识别[J].世界地震工程,2001,17(2):53-58.
[7]杜永峰,白莉,夏亚峰,等.小震下隔震结构的随机响应及失效概率分析[J].兰州理工大学学报,2004,30(6):101-105.
[8]李慧,姚云龙,杜永峰.叠层橡胶支座与柱串联体系动力失稳特性探讨[J].世界地震工程,2005,21(2):18-23.
[9]DU Yong-feng,LI Hui,SPENCER Jr,et al.Effect of non-pro-portional damping on seismic isolation[J].Journal of Structur-al Control,2002,9(3):205-236.
[10]杜永峰,赵国藩.隔震结构中非经典阻尼影响及最佳阻尼比分析[J].地震工程与工程振动,2000,20(3):100-107.
[11]杜永峰,党育,李慧,等.基于非比例阻尼模型的隔震结构动力分析软件[J].建筑结构,2004,34(6):32-35.
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