张玲 欧强 赵明华

摘   要：为分析计算高速公路水泥混凝土路面承载结构在交通荷载作用下的沉降，将路面结构视为黏弹性地基梁.在Kelvin地基梁模型的基础上，考虑路面结构与路基土界面摩阻效应的影响，进而分析交通荷载下黏弹性地基有限长梁的瞬态问题，通过三角级数展开法和Laplace-Fourier积分变换以及逆变换得到黏弹性地基梁在半正弦波荷载作用下的位移解析解.并研究分析了路基路面摩阻效应、荷载移动速度、路面结构刚度、路基竖向反力系数、路基阻尼等因素对路面沉降的影响.分析结果表明：路面沉降随车辆移动速度的增大而减小，随路基黏滞阻力系数及路基刚度的增大而减小，随路面结构刚度及结构层高度的增大而减小，与此同时增大路面结构刚度还可减小路面的波动.

关键词：交通荷载;水平摩阻效应;积分变换;Kelvin模型;地基梁

中图分类号：TU433                             文献标志码：A

文章编号：1674—2974（2019）09—0115—08

Abstract：To analyze the settlement of bearing structure of the cement concrete pavement of highway under traffic loads， pavement structure was regarded as a viscoelastic foundation beam. The interfacial friction effect between the foundation beam and soil below was introduced into the Kelvin foundation beam model. Based on the Kelvin model and taking the interfacial friction forces into consideration， an analytical solution of settlement for the viscoelastic foundation beam under traffic load was proposed by using trigonometric series， Laplace - Fourier transform and inverse transformation. Influence parameter study was presented to quantify the effects of various factors， such as the interfacial friction of subgrade and pavement， velocity of moving load， pavement structure stiffness， the coefficient of vertical soil reaction and viscous damping of subgrade. The results show that the settlement of pavement increases with the decrease of moving load speed，deformation decreases with the increase of viscous damping or subgrade stiffness， and deformation decreases with the increase of pavement stiffness or height of pavement structure. Meanwhile， the wave phenomenon of pavement decreases with the increase of the pavement structure stiffness.

Key words：traffic load;horizontal frictional behavior;integral transforms;Kelvin model;foundation beam

随着我国高速公路建设的迅猛发展，交通荷载下高速公路路面结构的动力响应问题日趋突出. 目前，路面结构动力响应分析常用的方法是将结构层视为置于（黏）弹性地基上的梁（板），采用弹性地基梁（板）理论进行分析. 因此，准确合理地计算分析交通荷载下弹性地基梁受力变形对高速公路路面结构的设计具有重要的工程意义. 为此，国内外诸多学者对地基梁（板）的动力响应进行了深入研究与探讨[1-2]，如Kenny[3]研究得到了移动集中荷载作用下不同地基阻尼……