为了计算非线性温度场下高速铁路无砟轨道板的温度应力,把温度应力分解为轴向均匀温度、线性温度及非线性温度三部分进行求解,并以温度应力系数的形式表示这3种温度应力;根据轨道板温度应力的实际受力情况,对各种状态下的温度应力系数进行分析和计算,结果以表格的形式给出以便于应用查询;并以案例形式给出轨道板温度应力计算的过程。研究结果表明:每天不同时刻轨道板的轴向均匀温度应力由均值和幅值两部分组成,幅值部分与板表面的温度日变化幅值有关;采用定义简化的温度梯度代替等效非线性温度梯度产生的误差可忽略不计;轨道板的非线性温度内应力最大值仅可能出现在其上表面或下表面。
In order to calculate the thermal stress of ballastless track slab of high‐speed railway under the nonlin‐ear temperature field ,the stresses were broken down into three components:an axial uniform thermal stress , a linear warping stress and a nonlinear self‐equilibrating stress . The three thermal stresses were represented by stress coefficients . Based on the actual thermal stress of the track slab , the thermal stress coefficients under various conditions were analyzed and calculated . The calculated results of the temperature effects were given in the form of tables for the purpose of easy application and reference . T he process of the calculation of the ther‐mal stresses of the track slab was illustrated through a case study .It is indicated that the axial uniform thermal stress of the track slab under different moments of the day consisted of mean and variation around the mean . Variation was related to the daily temperature variation at the slab surface . When a simplified temperature gra‐dient is defined to replace the equivalent nonlinear temperature gradient , the resulting error is marginal and can be ignored . The maximum values of the nonlinear self‐equilibrating thermal stress either appeared on the top or the bottom of the track slab .