移动周期载荷作用下孔隙热弹性地基的动力学响应  

DYNAMIC RESPONSE OF THERMOELASTIC FOUNDATION WITH VIODS UNDER A MOVING PERIODIC LOAD

作　　者：李莹[1] 程昌钧[1] 胡育佳[2] 

机构地区：[1]上海大学力学系,上海市应用数学和力学研究所,上海200072 [2]上海理工大学机械工程学院,上海200093

出　　处：《固体力学学报》2012年第2期125-135,共11页Chinese Journal of Solid Mechanics

基　　金：上海市重点学科建设项目(S30106)资助

摘　　要：根据孔隙热弹性线性理论,论文首先建立了在移动周期载荷作用下孔隙热弹性地基动力学响应分析的数学模型,其中提出了在周期性边界上必须满足的6类适当的条件,即界面位移相等、应力相等、孔隙百分比相等、温度相等以及在外法线方向孔隙发展相等和温度导数相等.在此基础上,分别采用微分求积法(DQM)和有限差分法(FDM)对控制方程进行空间和时间离散,并求解.作为算例,分别研究了在移动周期载荷和极限车载作用下孔隙热弹性地基的动力学响应,考察了车速对沉降、孔隙体积百分比和温度的影响.可以看到,论文提出的处理周期性问题DQM,具有精度高、收敛性好,计算效率高等特点。According to the linear theory of thermoelastic materials with voids,a mathematical model of dynamic response analysis for a thermoelastic foundation with voids subjected to a moving periodic load- ing is established, and the six kinds of necessary periodic boundary conditions on the periodic boundary are presented to analyze the dynamic response of the foundation, namely, （1） the displacements are equal ; （2） the stresses are equal;（3）the volume fraction of voids and its derivative along the normal direction are e- qual; （4）the temperature and its derivative along the normal direction are equal. On this basis,the differen- tial quadrature method （DQM） and the backward difference scheme are applied to discretize the governing equations on the spatial and temporal domains, respectively. As numerical examples, the dynamic response of a thermoelastic foundation with voids subjected to a plane moving periodic load is analyzed,and also the dynamic characteristics of the foundation under a limit moving vehicle load are studied. The effects of the vehicle velocity on the settlement, the volume fraction and temperature are considered. One can see that the DQM presented in this paper has advantages in solving the problems with periodic boundary conditions, such as high accuracy, efficiency, and good convergence.

关 键 词：孔隙热弹性地基 移动周期载荷 周期性条件 微分求积法(DQM) 动力学响应 

分 类 号：TU435[建筑科学—岩土工程]