移动荷载作用下层状正交各向异性地基平面应变问题动力响应  

Dynamic response to plane strain problem of multilayered orthotropic foundation under moving loads

作　　者：张春丽[1,2,3] 王博 祝彦知[3] ZHANG Chun-li;WANG Bo;ZHU Yan-zhi(College of Water Conservancy & Environmental Engineering, Zhengzhou University, Zhengzhou 450001,China;College of Information & Business, Zhongyuan University of Technology, Zhengzhou 450007, China;School of Civil Engineering and Architecture, Zhongyuan University of Technology, Zhengzhou 450007, China)

机构地区：[1]郑州大学水利与环境工程学院,河南郑州450001 [2]中原工学院信息商务学院,河南郑州450007 [3]中原工学院建筑工程学院,河南郑州450007

出　　处：《岩土工程学报》2018年第12期2325-2331,共7页Chinese Journal of Geotechnical Engineering

基　　金：国家自然科学基金项目(51579226);河南省高等学校青年骨干教师资助计划项目(2015GGJS-277);河南省高等学校重点科研项目计划资助项目(17B560016);中原工学院信息商务学院校级科研项目(ky1803)

摘　　要：基于移动谐振荷载作用下单层正交各向异性地基的平面应变问题的动力方程,通过Fourier变换,引入状态向量,推导了直角坐标系下单层正交各向异性地基的传递矩阵,建立层状正交各向异性地基平面应变问题计算模型,利用传递矩阵方法,结合层间接触条件和连续条件,求得了直角坐标系下正交各向异性层状地基任意深度处的平面应变问题的位移和应力解析表达式。基于推导的理论方法,编制了相应的计算程序,验证了单层正交各向异性土体的计算结果,算例分析土体的分层特性和正交各向异性性质对土体变形的影响规律。研究结果表明:忽略土体的分层特性和上层土体的正交各向异性,不能准确描述地基的动力特性。Based on the dynamic equation for plane strain problem of single-layer orthotropic foundation under moving harmonic loads, the transfer matrix of single-layer orthotropic foundation in the Cartesian coordinates is deduced through the Fourier transform and the introduction of state vector. Then the computational model for the layered orthotropic foundation is established. Considering the contact condition and the continuous condition between layers, the analytic expressions for the displacements and stresses at arbitrary depth in the plane strain problem of multilayered orthotropic foundation are derived by means of the transfer matrix method. Based on the theoretical solutions, the corresponding calculation programs are compiled to verify the calculated results of the single-layer orthotropic foundation and to study the influences of layered characteristics and orthotropic properties of soils on the amplitudes of vertical displacement of soil surface. The results indicate that neglecting the layered characteristics of soils and orthogonal anisotropy of the upper soils cannot accurately describe the dynamic characteristics of foundation.

关 键 词：移动荷载 层状正交各向异性地基 传递矩阵 动力响应 

分 类 号：TU443[建筑科学—岩土工程]