路基模量沿深度非均匀分布沥青路面动力解析解  

Analytical solution for dynamic response of asphalt pavement with subgrade modulus varying with depth

作　　者：范海山 张军辉[1] 郑健龙[1] FAN Hai-shan;ZHANG Jun-hui;ZHENG Jian-long(National Engineering Laboratory of Highway Maintenance Technology,Changsha University of Science and Technology,Changsha 410114,China)

机构地区：[1]长沙理工大学公路养护技术国家工程实验室,湖南长沙410114

出　　处：《岩土工程学报》2022年第6期1016-1026,I0004,共12页Chinese Journal of Geotechnical Engineering

基　　金：国家重大科研仪器设备研制项目(51927814);国家杰出青年科学基金项目(52025085);国家自然科学基金面上项目(51878078)。

摘　　要：推导了落锤式弯沉仪(FWD)荷载作用下考虑路面结构黏弹性、横观各向同性、层间连续条件以及路基模量沿深度方向非均匀分布的沥青路面动力响应解析解。首先,在考虑横观各向同性轴对称动力基本方程基础上,借助Hankel-Laplace积分变换建立了路面结构部分的常系数常微分方程组以及路基结构部分的变系数常微分方程组;然后,应用Frobenius法以及刚度矩阵法获得了沥青路面动力响应解析解,并编制数值计算程序;最后,结合ABAQUS有限元结果以及文献对比验证了解析解的可靠性,并就路面结构以及路基结构参数进行讨论。结果表明,路面结构中的层间接触条件和横观各向同性能对弯沉产生显著影响,同时路基模量沿深度的非均匀分布对弯沉的影响也不容忽视,建议在实际的FWD道路检测以及路面力学分析中给予充分考虑。The analytical solution for the dynamic response of asphalt pavement under falling weight deflectometer(FWD)load is obtained considering the viscoelasticity,transverse isotropy,interlayer contact and non-uniform distribution of subgrade modulus along depth.Firstly,based on the transversely isotropic axisymmetric dynamic equations,the constant coefficient ordinary differential equations for pavement structure and the variable coefficient ordinary differential equations for subgrade are established through the Hankel-Laplace transform.Then,combined with the Frobenius method and the stiffness matrix method,the analytical solution of dynamic response for the asphalt pavement is obtained,and the numerical program is also compiled.Then,the reliability of analytical solution is verified by comparison and the results of finite element method.Finally,the influences of interlayer condition,modulus ratio and distribution of subgrade modulus on the road deflection are analyzed.The results show that the interlayer contact and transverse isotropy in the pavement structure have a significant impact on the road deflection.The influences of the subgrade modulus distribution along depth also cannot be ignored.It is suggested that the above characteristics of pavement structure and subgrade should be fully considered in the FWD tests and mechanical analysis of the pavement.

关 键 词：层状体系 解析解 非均匀分布 层间接触 横观各向同性 

分 类 号：TU416[建筑科学—岩土工程]