【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。更多还原

【Abstract】 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.更多还原