中文摘要：

选择Kanai-Tajimi地震动模型，基于我国现行抗震规范（GB50011-2001）并利用随机极值原理进行参数研究,给出了多遇地震作用下的模型参数，对罕遇地震作用下的模型参数进行了初步探讨,在线性单自由度体系随机振动理论基础上提出了随机地震反应谱，给出了谱值及其概率分布，利用非线性体系随机振动理论对弹塑性随机地震反应谱也进行了探讨,利用随机地震反应谱确定了某钢-砼混合支架结构的水平地震作用,随机地震反应谱能够弥补常规反应谱不能给出最大反应发生概率的缺陷，同时也能将复杂的随机振动理论和广大工程师所熟悉的抗震知识结合起来，从而促进随机振动理论在实际工程中的应用．

英文摘要：

According to Chinese seismic code （GB50011-2001 ） and random extreme value theory, the parameters of Kanai Tajimi earthquake ground motion model are suggested and the ones under seldom-occurred earthquake action are studied preliminarily. Then random seismic response spectrum is presented based on the random vibration theory of SDOF linearsystem. Spectral value and its probability distribution are deduced. Elastic-plastic random seismic response spectrum is also researched preliminarily. Random seismic response spectrum is used to calculate the horizontal earthquake action of a steel-concrete vertical hybrid structure. Random seismic response spectrum can improve normal design response spectrumthat which can＇t show the probability of maximum response value, and it also can combine the complex random vibration theory with the structural seismic knowledge which is very familiar to most engineers, thus the practical application of random vibration theory can be improved greatly.