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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 theory of thermal elasticity of pores, a mathematical model of dynamic response analysis of porous thermal elastic foundation under moving cyclic loads is established. Six kinds of suitable conditions that must be satisfied on the periodic boundary are proposed, that is, the interface displacements are equal , Equal stress, equal percentage of pores, equal temperature, equal pore growth and equal temperature derivatives in the normal direction of the external. On this basis, the differential equations method (DQM) and the finite difference method (FDM) Time discrete and solved.As an example, the dynamical response of porous thermoelastic foundations under moving periodic loads and extreme vehicle loads were studied respectively, and the effect of vehicle speed on settlement, percentage of pore volume and temperature was investigated. The proposed method to deal with periodic problems DQM has the characteristics of high accuracy, good convergence and high computational efficiency.