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地下洞室群随机地震响应研究中传递函数的应用探讨
引用本文:崔臻,盛谦,宋艳华,魏倩.地下洞室群随机地震响应研究中传递函数的应用探讨[J].岩土力学,2012,33(12):3760-3766.
作者姓名:崔臻  盛谦  宋艳华  魏倩
作者单位:1.中国科学院武汉岩土力学研究所 岩土力学与工程国家重点实验室,武汉 430071;2.电子科技大学 物理电子学院,成都 610054
基金项目:国家自然科学基金项目(No.51009131,No.51009130);国家重点基础研究发展计划(973)项目(No.2010CB732001)
摘    要:在证明随机响应的统计参数可以用传递函数进行直接表达的前提下,将传递函数引入地下洞室群随机地震响应研究中,对白鹤滩水电工程13#机组剖面地下洞群进行了随机地震响应分析,并对之进行了地震动力可靠度的探讨。结果表明:较之常规方法,基于传递函数的方法除可得到洞室群的随机地震响应以外,还可同时得到洞室群的地震响应频谱特性,并可以直接利用传递函数得到确定性地震动输入下洞室群的响应值进行验证,显示对问题的研究具有更加深刻的优势;将所得到的随机地震响应结果与基于传递函数的确定性估算结果,与实际时程计算得到的确定性结果比较,吻合良好;首次采用超越破坏理论对地下洞室群进行地震动力可靠度分析的可行性,为地下工程抗震可靠度计算中如何以动力方式考虑地震荷载的随机性提供了一些新思路。

关 键 词:地下洞室群  地震响应  传递函数  随机振动  动力可靠度  
收稿时间:2011-09-20

Application of transfer function to stochastic seismic response analysis of underground caverns
CUI Zhen,SHENG Qian,SONG Yan-hua,WEI Qian.Application of transfer function to stochastic seismic response analysis of underground caverns[J].Rock and Soil Mechanics,2012,33(12):3760-3766.
Authors:CUI Zhen  SHENG Qian  SONG Yan-hua  WEI Qian
Institution:1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China; 2. School of Physical Electronics, University of Electronic Science and Technology of China, Chengdu 610054, China
Abstract:It is proved that the statistical parameters of a random response can be directly expressed in terms of transfer function; and then a transfer function-based stochastic seismic response analysis is made on Baihetan underground caverns. The seismic reliability of underground caverns is also discussed. The results indicate that in addition to stochastic seismic response of the caverns, spectral characteristics of seismic response and seismic response estimations can be conducted at the same time, which leads to a more profound point of view in comparison with conventional methods. Results of stochastic seismic analysis and transfer function-based estimation are well consistent with the results of numerical computation. The theory of excursion failure criterion is firstly applied to provide a new approach to consider the randomness of earthquake loading in stochastic seismic response analysis of underground caverns.
Keywords:underground caverns  seismic response  transfer function  stochastic vibration  dynamic reliability
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