受非平稳地震作用的密肋复合墙体的可靠度分析
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摘要
通过数值计算对受非平稳随机地震作用的密肋复合墙体的动力可靠度进行分析.首先将随机地震动模型表示为均匀调制的非平稳地震动模型,通过振型叠加法求出随机地震反应的功率谱密度和均方值;其次应用首次超越破坏准则给出结构随机地震反应动力可靠度的具体计算公式,并给出结构在弹塑性状态时的界限值;最后对有限元建模时视为实体模型的单层密肋复合墙体与同模型尺寸的框架和剪力墙的动力可靠度进行了计算,对比分析了3种结构在多遇地震和罕遇地震作用下的动力可靠度.结果表明,密肋复合墙体的动力可靠度介于框架与剪力墙之间,密肋壁板结构是一种安全可靠的新型结构.
The objective of the present work is to evaluate the integrated reliability of multi-ribbed composite wall subjected to random earthquake.The non-stationary stochastic earthquake is described by an envelope-modulated stationary random process.The stochastic dynamic analysis is performed by using modal superposition method to obtain the power spectral density function of random response.Then mean square values are obtained based on computed random response.The detailed reliability formulation is developed through the solution of first passage problem.The limit value of inelastic state is equivalent to linear value.Multi-ribbed composite wall of one floor,frame and shear wall of the same size as the composite wall,idealized as solid models in finite element modeling,are considered for reliability analysis.Dynamic reliability of the above three structures under effect of frequent earthquake and rare earthquake are compared.Results show that the dynamic reliability of multi-ribbed composite wall is between the reliability of frame and the reliability of shear wall,and the multi-ribbed slab structure is a safe new structure.
The objective of the present work is to evaluate the integrated reliability of multi-ribbed composite wall subjected to random earthquake.The non-stationary stochastic earthquake is described by an envelope-modulated stationary random process.The stochastic dynamic analysis is performed by using modal superposition method to obtain the power spectral density function of random response.Then mean square values are obtained based on computed random response.The detailed reliability formulation is developed through the solution of first passage problem.The limit value of inelastic state is equivalent to linear value.Multi-ribbed composite wall of one floor,frame and shear wall of the same size as the composite wall,idealized as solid models in finite element modeling,are considered for reliability analysis.Dynamic reliability of the above three structures under effect of frequent earthquake and rare earthquake are compared.Results show that the dynamic reliability of multi-ribbed composite wall is between the reliability of frame and the reliability of shear wall,and the multi-ribbed slab structure is a safe new structure.
引文
[1]袁泉.密肋壁板轻框结构非线性地震反应分析[D].西安:西安建筑科技大学,2003.YUAN Quan.Nonlinear Earthquake Response Analysis ofMulti-Ribbed Slab Structure[D].Xi’an:Xi’an Universi-ty of Architecture and Technology,2003.(in Chinese)
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[4]王爱民.中高层密肋壁板结构密肋复合墙体受力性能及设计方法研究[D].西安:西安建筑科技大学,2006.WANG Aimin.Research on Load-Bearing Performanceand Design Method of Multi-Ribbed Composite Wall inModerate High-Rise Multi-Ribbed Slab Structure[D].Xi’an:Xi’an University of Architecture and Technology,2006.(in Chinese)
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[6]潘晓东,秦从律,钱磊.与建筑抗震设计规范相对应的地面地震动随机模型参数研究[J].地震研究,2005,28(1):82-85.PAN Xiaodong,QIN Conglu,QIAN Lei.Study on theRandom Model Parameters of Ground Motion Correspond-ing to the Architectural Seismic Code[J].Journal of Seis-mological Research,2005,28(1):82-85.(in Chinese)
[7]Li Q S.Seismic Random Vibration Analysis of Tall Build-ings[J].Engineering Structure,2004,26:1767-1778.
[8]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.OU Jinping,WANG Guangyuan.Random Vibration ofStructures[M].Beijing:Higher Education Press,1998.(in Chinese)
[9]李鸿晶.平面框架结构的随机地震反应和抗震可靠度分析[J].哈尔滨建筑大学学报,2001,34(3):5-9.LI Hongjing.Stochastic Earthquake Responses and SeismicReliability Analysis of Plane Frame Structures[J].Journalof Harbin University of Civil Engineering,2001,34(3):5-9.(in Chinese)
[2]贾英杰.中高层密肋壁板结构计算理论及设计方法研究[D].西安:西安建筑科技大学,2004.JIA Yingjie.Research on Calculation Theory and DesignMethod of Multi-ribbed Composite Wall in ModerateHigh-Rise Multi-Ribbed Slab Structure[D].Xi’an:Xi’an University of Architecture and Technology,2004.(inChinese)
[3]黄炜.密肋复合墙体抗震性能及设计理论研究[D].西安:西安建筑科技大学,2004.HUANG Wei.Research on Seismic Performance and De-sign Method of Multi-Ribbed Slab Wall[D].Xi’an:Xi’an University of Architecture and Technology,2004.(inChinese)
[4]王爱民.中高层密肋壁板结构密肋复合墙体受力性能及设计方法研究[D].西安:西安建筑科技大学,2006.WANG Aimin.Research on Load-Bearing Performanceand Design Method of Multi-Ribbed Composite Wall inModerate High-Rise Multi-Ribbed Slab Structure[D].Xi’an:Xi’an University of Architecture and Technology,2006.(in Chinese)
[5]Chaudhuri A.Reliability Evaluation of 3-D Frame Sub-jected to Non-Stationary Earthquake[J].Journal ofSound and Vibration,2003,259(4):797-808.
[6]潘晓东,秦从律,钱磊.与建筑抗震设计规范相对应的地面地震动随机模型参数研究[J].地震研究,2005,28(1):82-85.PAN Xiaodong,QIN Conglu,QIAN Lei.Study on theRandom Model Parameters of Ground Motion Correspond-ing to the Architectural Seismic Code[J].Journal of Seis-mological Research,2005,28(1):82-85.(in Chinese)
[7]Li Q S.Seismic Random Vibration Analysis of Tall Build-ings[J].Engineering Structure,2004,26:1767-1778.
[8]欧进萍,王光远.结构随机振动[M].北京:高等教育出版社,1998.OU Jinping,WANG Guangyuan.Random Vibration ofStructures[M].Beijing:Higher Education Press,1998.(in Chinese)
[9]李鸿晶.平面框架结构的随机地震反应和抗震可靠度分析[J].哈尔滨建筑大学学报,2001,34(3):5-9.LI Hongjing.Stochastic Earthquake Responses and SeismicReliability Analysis of Plane Frame Structures[J].Journalof Harbin University of Civil Engineering,2001,34(3):5-9.(in Chinese)
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