高层建筑地震作用计算的时域显式随机模拟法
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摘要
目前我国GB 50011—2010《建筑抗震设计规范》中所推荐的振型分解反应谱法和时程分析法尚无法完全反映地震动随机性对建筑结构的影响,采用真正意义的随机振动方法计算复杂高层建筑地震响应的需求越来越迫切。结合新修订的广东省标准DBJ 15-92—2013《高层建筑混凝土结构技术规程》,全面介绍了结构地震作用计算时域显式随机模拟法的计算原理和实现方法,内容包括:1)通过迭代计算直接获得与现行规范反应谱完全等效的地震动加速度功率谱;2)给出基于精细积分和Newmark-β积分格式的结构地震响应显式表达式的构建方法;3)结合地震动随机过程的数值模拟,统计分析得到结构平均峰值响应。以广州西塔等4栋超高层和高层建筑为工程应用实例,显示了时域显式随机模拟法在高层结构抗震分析中的高效性和实用性。计算结果表明,时域显式随机模拟法和传统振型分解反应谱法的计算结果存在一定差异,最大差异可超过25%,反应谱法的内力计算结果普遍偏小。
The response spectrum method and the time-history analysis method,recommended by the GB 50011—2010‘Code for seismic design of buildings',can not fully reflect the random effects of seismic excitations on buildings. It has been a great demand to use the real random vibration method to conduct the seismic analysis of complex tall buildings. In conjunction with the newly revised DBJ 15-92—2013 ‘Guangdong technical specification for concrete structures of tall building ',the calculation principle and the implementation method of the time-domain explicit random simulation method are clarified for seismic analysis of structures,including the transform method for the equivalent power spectrum of seismic excitations corresponding to the specified response spectrum,the formulation and implementation method for the explicit expressions of seismic responses of a structure,and the detailed implementation process for the time-domain explicit random simulation method. The proposed method was applied to the seismic analysis of four tall buildings including the Guangzhou West Tower,indicating the effectiveness of the presented approach. It is also shown that certain discrepancies may exist between the results obtained by the proposed method and the conventional response spectrum method,with the largest discrepancy exceeding 25%. This indicates the necessity for the calibration of the results obtained with the response spectrum method.
引文
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