基于整体可靠度的隔震结构参数优化分析
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摘要
为了研究隔震结构关键设计参数对其在地震作用下整体可靠度的影响,将隔震结构简化的两质点计算模型,隔震层采用Bouc-Wen模型来模拟,上部结构采用刚度退化的Bouc-Wen模型来模拟,建立了隔震结构的运动方程,结合虚拟激励法与可靠度理论,分析了隔震结构在不同周期比、屈重比与阻尼比下的平稳随机地震响应与动力可靠度。并以整体可靠度为目标,对隔震结构的设计参数进行优化选取。将上述理论运用于设防烈度为8度的某隔震结构,分析了隔震层与上部结构的层间位移峰值的随机地震响应,并计算了隔震结构的整体可靠度。研究结果表明,隔震结构的周期比、屈重比及阻尼比的适当选取,能使隔震结构的隔震层与上部结构位移响应均较小,从而使隔震结构整体可靠度较高。从整体可靠度的角度对隔震结构的安全性进行评估,对隔震结构的合理设计及性态控制有指导意义。
A simplified two-mass calculating model of a base-isolated structure was established in order to study the effect of crucial design parameters on the system reliability.A Bouc-Wen model was used to simulate the isolation layer and a Bouc-Wen model with stiffness degradation was used to simulate the upper structure.The motion equation of the base-isolated structure was established.The pseudo excitation method and reliability theories were used to analyze the random responses and dynamic reliability of the system under different period ratios,yield force ratios and damping ratios.The design parameters of the base-isolated structure were optimized with the system reliability as an objective.The above theories were used to analyze the stationary random earthquake responses of a base-isolated structure with a 8 degree seismic precautionary intensity.The story displacements and the system reliabilities of the isolation layer and the upperstructure were calculated.The results showed that properly selecting period ratio,yield force ratio and damping ratio can make the displacement responses minimum,so the system reliability of the base-isolated structure is high;validating the safety of base-isolated structures based on system reliability is a guide for structural performance design and state control of base-isolated structures.
A simplified two-mass calculating model of a base-isolated structure was established in order to study the effect of crucial design parameters on the system reliability.A Bouc-Wen model was used to simulate the isolation layer and a Bouc-Wen model with stiffness degradation was used to simulate the upper structure.The motion equation of the base-isolated structure was established.The pseudo excitation method and reliability theories were used to analyze the random responses and dynamic reliability of the system under different period ratios,yield force ratios and damping ratios.The design parameters of the base-isolated structure were optimized with the system reliability as an objective.The above theories were used to analyze the stationary random earthquake responses of a base-isolated structure with a 8 degree seismic precautionary intensity.The story displacements and the system reliabilities of the isolation layer and the upperstructure were calculated.The results showed that properly selecting period ratio,yield force ratio and damping ratio can make the displacement responses minimum,so the system reliability of the base-isolated structure is high;validating the safety of base-isolated structures based on system reliability is a guide for structural performance design and state control of base-isolated structures.
引文
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[13]GB50011-2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.
[2]孙广俊,李爱群.基础隔震结构动力可靠度分析及参数优化[J].东南大学学报,2009,39(2):320-327.SUN Guang-jun,LI Ai-qun.Dynamic reliability analysis andparameter optimization of base isolation structure[J].Journal of Southeast University,2009,39(2):320-327.
[3]杜永峰,白莉,李慧,等.基于动力可靠度的隔震结构参数模糊优化[J].世界地震工程,2007,23(3):60-67.DU Yong-feng,BAI Li,LI Hui,et al.Fuzzy optimization ofisolation parameters based on dynamic reliability[J].WorldEarthquake Engineering,2007,23(3):60-67.
[4]荣强,程文瀼.并联基础隔震体系的参数优化[J].工程力学,2009,26(10):140-146.RONG Qiang,CHENG Wen-rang.Parameter optimization of parallel base-isolated system[J].Engineering Mechanics,2009,26(10):140-146.
[5]祁皑,郑国琛,阎维明.考虑参数优化的层间隔震结构振动台试验研究[J].建筑结构学报,2009,30(2):8-16.QI Ai,ZHENG Guo-chen,YAN Wei-ming.Shaking table tests on story-isolation structures considering parametric optimization[J].Journal of Building Structures,2009,30(2):8-16.
[6]Kelly J M.Earthquake resistant design with rubber[M].Second Edition,Springer-Verlag London Limited,1997.
[7]Baber T T,Wen Y K.Random vibration of hysteretic,degrading systems[J].Journal of Engineering Mechanics,ASCE,1981,107(6):1069-1087.
[8]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.
[9]林家浩,钟万勰.关于虚拟激励法与结构随机响应的注记[J].计算力学学报,1998,15(2):217-223.LIN Jiao-hao,ZHONG Wan-xie.Some notes on FEM and structural random response analysis[J].Chinese Journal of Computational Mechanics,1998,15(2):217-223.
[10]赵国藩,金伟良,贡金鑫.结构可靠度理论[M].北京:中国建筑工业出版社,2000.
[11]杜修力.水工建筑物抗震可靠度设计和分析用的随机地震输入模型[J].地震工程与工程振动,1998,18(4):76-81.DU Xiu-li.A random seismic input model used in seismic reliability design and analysis of hydraulic buildings[J].Earthquake Engineering and Engineering Vibration,1998,18(4):76-81.
[12]牛荻涛,欧进萍.设计用随机地震动模型与参数的改进[J].西安冶金建筑学院学报,1994,26(1):30-35.NIU Di-tao,OU Jin-ping.Random earthquake ground motion model and its parameter modification used in aseismic design[J].Journal Xi’an Institute of Metall.&Cons.Eng.,1994,26(1):30-35.
[13]GB50011-2010建筑抗震设计规范[S].北京:中国建筑工业出版社,2010.
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