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小震下隔震结构的随机响应及失效概率分析
引用本文:杜永峰,白莉,夏亚峰,李慧,尚九平,赵国藩.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.
作者姓名:杜永峰  白莉  夏亚峰  李慧  尚九平  赵国藩
作者单位:兰州理工大学,防震减灾研究所,甘肃,兰州,730050;大连理工大学,海岸和近海工程国家重点实验室,辽宁,大连,116023;兰州理工大学,防震减灾研究所,甘肃,兰州,730050;兰州理工大学,理学院,甘肃,兰州,730050;兰州理工大学,基建规划处,甘肃,兰州,730050;大连理工大学,海岸和近海工程国家重点实验室,辽宁,大连,116023
基金项目:国家自然科学基金(59878008),甘肃省建设科技攻关基金(JK99 07)
摘    要:探讨了叠层橡胶隔震体系在"小震"条件下的随机响应及失效概率分析模型.基于非比例阻尼多自由度线性模型,采用隔震工程设计中所使用的参数,用林家浩法构造虚拟激励,导出了非比例阻尼隔震结构在"小震"条件下的"虚拟"响应幅值向量的解析表达式.采用最大层间弹性位移限值作为控制指标建立极限状态方程,计算隔震结构在"小震"条件下发生开裂的条件失效概率.选用了1个7层的隔震框架作为数值算例,通过4种不同的方法对求得的随机响应进行对比,并采用MonteCarlo直接动力模拟方法进行检验,证实方法精度良好.

关 键 词:基础隔震  随机振动  动力可靠性  虚拟激励法  结构振动控制
文章编号:1000-5889(2004)06-0101-05
修稿时间:2004年3月10日

Random response and failure probability of isolated structure under minor earthquake
DU Yong-feng.Random response and failure probability of isolated structure under minor earthquake[J].Journal of Lanzhou University of Technology,2004,30(6):101-105.
Authors:DU Yong-feng
Institution:DU Yong-feng~
Abstract:The analysis of random response and failure probability of LRB isolated structure under minor earthquakes investigated is investigated.A non-proportionally damped MDOF model is used based on the linearized parameters which are used for practical design,and an analytical expression of the "pseudo" response amplitude vector is derived using pseudo excitation method(PEM).The elastic limit state is used for deriving the performance equation,and the maximum interstory drift is adopted as the performance index of the superstructure.The conditional failure probability,reflecting the probability of cracking under minor earthquakes,is calculated using first-order reliability method(FORM).With a 7-story isolated RC frame chosen as numerical example,the result of random response by the proposed method are compared with other three methods,and verified with Monte Carlo dynamic simulation.The result shows that the proposed method has good accuracy.
Keywords:base isolation  random vibration  dynamic reliability  pseudo excitation method  vibration control of structures
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