随机地震动的概率密度演化  

Probability Density Evolution of Stochastic Seismic Ground Motion

作　　者：李杰[1,2] 宋萌[1] 

机构地区：[1]同济大学建筑工程系,上海200092 [2]同济大学土木工程防灾国家重点实验室,上海200092

出　　处：《建筑科学与工程学报》2013年第1期13-18,共6页Journal of Architecture and Civil Engineering

基　　金：国家自然科学基金创新研究群体基金项目(50621062)

摘　　要：利用广义概率密度演化方程,研究了随机地震动加速度时程的时变概率密度分布。利用集集地震实测地震动记录建模,识别给出了Ⅱ类场地随机地震动物理模型的基本参数及其分布。引入空间伸缩变换和Voronoi准则,发展了多维概率空间剖分的实用算法,对比分析了随机地震动模型与真实地震动的概率密度函数。结果表明:随机地震动物理模型可以客观反映真实地震动加速度时程的精细概率结构。The time-varying probability density distribution of stochastic seismic ground motion acceleration time history was researched using generalized probability density evolution equation. Authors established a model by using actual acceleration records from Chi-Chi earthquake and identified basic parameters and their distributions in physical model of stochastic seismic ground motion from actual observation records in site class ]]. Further, using the expansion-contraction transformation and Voronoi norm, authors developed a practical algorithm which realized the division of multi-dimension probability space. The probability density function of stochastic seismic ground motion model and actual acceleration records were compared and analyzed. The results show that the physical model of stochastic seismic ground motion can objectively reflect refined probability characteristic of actual seismic acceleration processes.

关 键 词：随机地震动 数论方法 广义概率密度演化方程 Voronoi准则 等效阻尼比 

分 类 号：TU435[建筑科学—岩土工程]