抗震分析中关于反应谱与功率谱密度函数之间关系的解析  

Analysis of the Relationship Between Response Spectrum and Power Spectrum Density Function in Seismic Analysis

作　　者：姚彦贵 熊珍琴[2] 唐力晨 姚伟达 Yao Yangui;Xiong Zhenqin;Tang Lichen;Yao Weida(Shanghai Nuclear Engineering Research&Design Institute Co.,Ltd.,Shanghai 200233,China;Shanghai Jiao Tong University,Shanghai 200240,China)

机构地区：[1]上海核工程研究设计院有限公司,上海200233 [2]上海交通大学核科学与工程学院,上海200240

出　　处：《核安全》2022年第1期93-103,共11页Nuclear Safety

基　　金：上海市科技启明星项目,项目编号:20QB1403000。

摘　　要：地震运动作用在结构物基础上的反应分析,常规采用确定论方法来求解,如时程法、反应谱方法等。在理论上处理是十分方便的,但往往不能反映真实情况。为此还需要采用非确定论方法作为补充分析,如应用随机振动中的功率谱密度统计方法作为一种补充分析方法,以提高分析结果的可靠性。采用随机过程中穿越阈值次数的概率统计问题作为出发点,求得地震反应不超出阈值的概率分布函数定量的统计公式。该公式可以直接应用到地震反应谱与输入功率谱密度之间,建立一个定量的可信度关系,以核实反应谱是否已经反映了随机过程的真实可靠程度。The response analysis of seismic motion on the basis of structures usually uses deterministic methods,such as time history method,response spectrum method,etc.,which is very convenient in theory,but often does not reflect the actual situation.For this reason,it is also necessary to use non-deterministic methods as supplementary analysis,such as applying the statistical method of power spec-tral density in random vibration as a supplementary analysis method to improve the reliability of the analysis results.Using the probability statistics of the number of crossing thresholds in a random process as a starting point,a quantitative statistical formula for the probability distribution function of the seismic response not exceeding the threshold is obtained.This formula can be directly applied to establish a quantitative relationship between the seismic response spectrum and the input power spectrum density the reliability relationship is used to verify whether the response spectrum has reflected the true reliability of the random process.

关 键 词：地震分析 反应谱 功率谱密度函数 可信度关系 

分 类 号：TL35[核科学技术—核技术及应用]