移动周期载荷作用下孔隙热弹性地基的动力学响应

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.

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

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 loading 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 equal;(4)the temperature and its derivative along the normal direction are equal.On this basis,the differential 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.