水平非均匀土层基本周期的解析解答  

Analytical solution for fundamental period of horizontal heterogeneous soil layer

作　　者：罗江龙 陈卓识 袁晓铭[1,2] LUO Jianglong;CHEN Zhuoshi;YUAN Xiaoming(Key Laboratory of Earthquake Engineering and Engineering Vibration,Institute of Engineering Mechanics,China Earthquake Administration,Harbin 150080,China;Key Laboratory of Earthquake Disaster Mitigation,Ministry of Emergency Management,Harbin 150080,China)

机构地区：[1]中国地震局工程力学研究所,地震工程与工程振动重点实验室,黑龙江哈尔滨150080 [2]地震灾害防治应急管理部重点实验室,黑龙江哈尔滨150080

出　　处：《世界地震工程》2023年第4期1-6,共6页World Earthquake Engineering

基　　金：中国地震局工程力学研究所基本科研业务费专项资助项目(2019B04)。

摘　　要：对水平场地土层刚度随深度指数变化这一常规情况,根据地震反应初边值问题,采用分离变量法并利用贝塞尔函数性质,求解出该类场地基本周期的解析解答。通过数值分析,给出了水平非均匀土层基本周期与地表剪切波速、场地覆盖层厚度以及土层刚度非均匀系数的函数关系,并分析了场地基本周期解析解答的变化规律。For the normal situation that the soil stiffness of the horizontal site changes exponentially with the depth,according to the initial boundary value problem of the seismic response,the separation variable method and the properties of the Bessel function are used to solve the analytical solution of the fundamental period of this type of site.Through numerical analysis,the functional relationship between the fundamental period of the horizontal heterogeneous soil layer and the surface shear wave velocity,the thickness of the site cover and the non-uniformity coefficient of the soil layer stiffness is given,and the variation law of the analytical solution of the fundamental period of the site is analyzed.

关 键 词：水平非均匀土层 分离变量法 贝塞尔函数 基本周期 

分 类 号：TU4[建筑科学—土工工程]