极值理论在工程地震中的应用
THE APPLICATION OF EXTREMUM ANALYSIS TO EARTHQUAKE ENGINEERING PROBLEMS
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摘要: 目前,工程结构抗震设计已经发展到以极限状态概率为安全标准的概率设计阶段。极值统计方法所得结果可以提供工程结构抗震设计参数。本文用极值统计分析方法研究了工程场地历史地震影响烈度的分布特征,探讨了利用历史地震影响评价工程场地地震危险性的可能性。结果表明,在历史地震资料比较丰富的地区,可以采用极值统计分析方法,从工程场地影响烈度时间序列中取得抗震设计的依据。在具体分析中,宜采用陈培善改进后的极值分布函数(Gc)和=(l——0.44)/(n+0.12)数据点拟合方式。Abstract: The present trend of anti-seismic design is the utilization of probabilistic method. The result of extremum analysis can satisfy this need. In this paper, the distribution of historical earthquake intensity is studied by using the extremum analysis method, and the possibility of the estimation of earthquake hazard discussed for construction sites by using the data of histo-rical earthquake intensity data. Results indicate that we can get the anti-seismic parameters from the time series of intensity by using extremum analysis in those areas where the records of historical earthquakes are abundant. In practical analysis, it is appropriate to use extremum distribution function modified by Chen peishan and the fitting formula G= (l-0.44)/(n+ 0.12).
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[9] Kiureghian, A. IJer and A. H——S. Ang, A fault rupture model for seismic risk analysis, Bull. Seism. Socmer., 77, 67, 1173——1194.[1] Gumbel, E. J., Statistics of Extremes 1958, Columbia University Press.
[2] Epstein, B. and C. Lommnits, A model for the occurrence of large earthquakes, Nature, 1966, 211, 954——956.
[3] 陈培善、林邦慧,极值理论在中长期地震预报中的应用,地球物理学报,1973, 16, 6——24.
[4] Burton, Paul W. and Robert W. McGonigle, Prelimiary studies of seismic risk in Turkey, and the occurrence of upper bounded and other larger earthquake magnitudes, Multidisciplinary Approach to Earthquake Prediction, Proceeding of the International Symposium on Earthquake Prediction in the North Anatolian Fault Zone Neld in Istanbul, March 31——April 5, 1980, 143——172.
[5] 贾素娟、郡家全,场地影响烈度的频次特征及其工程地震的意义,国际地震动态,1986, 7; 3——7.
[6] Gringorten, Irving, 1., A plotting rule for extremel probability paper, J. Geophys. Res., 1963, 88, 813——814.
[7] 李善邦,中国地震,178, 1981地震出版社.
[8] Cornell, C. A., Engineering seismic risk analysis, Bull. Seism. Soc. Amer. 1968, 58, 1583——1606.
[9] Kiureghian, A. IJer and A. H——S. Ang, A fault rupture model for seismic risk analysis, Bull. Seism. Socmer., 77, 67, 1173——1194. -
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