基于半解析有限元的水泥路面荷载响应分析

STUDY OF THE CEMENT PAVEMENT MECHANICAL RESPONSE USING THE SEMI-ANALYTICAL FINITE ELEMENT METHOD

基于半解析有限元原理和MATLAB软件,开发了水泥路面荷载响应分析程序CP-SAFEM(cement pavement semi-analytical finite element method)。将CP-SAFEM应用到具体工况中,与现行规范和ABAQUS进行了荷载应力的对比验证。结果表明:对于单层板路面,CP-SAFEM与规范公式计算结果误差不超过1%;对于双层板路面,CP-SAFEM与规范公式计算结果误差约为6%;CP-SAFEM与ABAQUS各项力学响应计算结果最大误差不超过5%;当横断面采用相同的网格划分时,CP-SAFEM的计算时间为ABAQUS的1/6;以弯拉应力作为力学指标确定了水泥路面的临界荷位。各项研究表明CP-SAFEM具有良好的计算精度和运算效率。

Using the semi-analytical finite element method and MATLAB,a mechanical analysis program CP-SAFEM(cement pavement semi-analytical finite element method)for cement concrete pavements was developed.Based on various engineering cases,the analysis results from CP-SAFEM were compared with the current standards and ABAQUS.The results indicate that the calculation error between the CP-SAFEM and the standards was less than 1%for single-layer pavements,and approximately 6%for double-layer pavements.In addition,the error between CP-SAFEM and ABAQUS was less than 5%.With the same meshing scheme in the pavement cross section,the computation time of CP-SAFEM was only 1/6 of that of ABAQUS.Furthermore,the critical loading position was determined by the tensile stress of the panel.As a result,the CP-SAFEM was proven to have adequate computational accuracy and efficiency.