沥青路面层状粘弹性半空间轴对称问题的求解  

The theoretical method for solving axisymmetrical problems in multilayered viscoelastic asphalt pavement half space

作　　者：任瑞波[1] 钟岱辉[1] 孔军[1] 田军祯 董支宝 李兵[1] 

机构地区：[1]山东建筑工程学院土木工程学院,山东济南250014 [2]山东省交通工程总公司,山东济南250001

出　　处：《山东建筑工程学院学报》2002年第4期1-7,共7页Journal of Shandong Institute of Architecture and Engineering

基　　金：国家自然科学基金(50008005)

摘　　要：沥青路面中的沥青材料是一种典型的粘弹性材料,利用积分变换和传递矩阵的方法推导了沥青路面多层粘弹性半空间轴对称问题的解析解,引入F.Durbin的方法实现Laplace逆变换,通过实例计算路表弯沉表明初始时段所得结果与弹性解基本一致,随着时间的推移,沥青路面多层粘弹体系路表弯沉增大,说明随时间的推移,沥青材料的粘性起到更大的作用,反映了粘弹材料的蠕变变化规律,这与沥青路面实际情况相符。此方法可以很容易推广到沥青路面多层粘弹体系动力学问题之中。Asphalt material is a kind of viscoelastic material in asphalt pavement. By means of transfer matrix and integral transfomation, the solution for axisymmetrical problems in asphalt pavement multilay-ered viscoelastic half space is derived, F. Durbin's numerical inversion transform of Laplace is used. An example shows that deflection in the beginning times is in good agreement with that in elastic solution, with time passing, the surface deflection in asphalt pavement multilayered viscoelastic body increases, which explains that the viscidity of asphalt material plays greater part. The solution in this paper can easi-ly be used to solve dynamic ouestion of asphalt pavement multilayered viscoelastic half space.

关 键 词：沥青路面 层状粘弹体系 积分变换 传递矩阵 

分 类 号：U416.217[交通运输工程—道路与铁道工程]