地基土的随机地震反应的一个解法  

A solution of earthquake stochastic response of soil foundation

作　　者：黄义[1] 韩建刚[1] 

机构地区：[1]西安建筑科技大学,陕西西安710055

出　　处：《世界地震工程》2005年第2期13-17,共5页World Earthquake Engineering

基　　金：国家自然科学基金资助项目

摘　　要：利用连续线性系统的随机振动理论,研究非均匀地基土层地震的动力反应问题。假定土层的剪切模量随深度线性变化,得到土层的最大位移反应的均值和方差。引入结构微分算子,采用模态叠加法进行反应分析,与普通的分离变量法相比较,此方法概念明确、步骤简单。Using the stochastic vibration theory of continuous linear system, this paper studies the dynamic response problem of non-homogeneous soil foundation. Assuming that shear modulus of the soil foundation is linear along depth, the mean and the variance of the maximal displacement response are obtained. This paper introduces differentiating operator of construction, response analysis is implemented by mode superposition method. Comparing with ordinary separation variable method, this method has definite conception and a few steps in calcnlation.

关 键 词：随机地震反应 随机振动理论 连续线性系统 模态叠加法 分离变量法 动力反应 地基土层 线性变化 剪切模量 位移反应 微分算子 反应分析 非均匀 

分 类 号：TU435[建筑科学—岩土工程] TU311.3[建筑科学—土工工程]