弹性地基双层梁理论下的混凝土路面力学分析

为建立混凝土路面结构受力分析计算模型,以Winkler弹性地基梁模型为基础,推导出了弹性地基双层梁理论的表达式;给定边界条件,利用MATLAB软件获得了无限长弹性地基梁在集中力作用下的挠度表达式。将混凝土路面结构简化为弹性地基上的双层梁,当车辆荷载作用于混凝土路面时,在集中载荷的作用下,建立了面层与基层的微分平衡方程。应用广义“初参数”法,得到了双层梁位移和应力的解析解。通过算例,对面层及基层的变形和应力进行了分析,结果表明:增大面层、基层的轴惯性矩和地基的弹性常数,可以有效地减少面层和基层的变形量,降低最大应力数值,但抗弯刚度对基层和面层的弯矩受力影响不大。最后将结果与ANSYS分析结果进行了比较,佐证了解的可靠性,研究结果可为混凝土路面结构设计提供依据。

Mechanical analysis of concrete pavement via the theory of double layer beams on elastic foundation

In order to establish the force analysis and calculation model of concrete pavement structure,the expression of the elastic foundation double-layer beam is derived based on Winkler elastic foundation beam model.Given the boundary conditions,using MATLAB software,the deflection expression of the infinitely long elastic foundation beam under concentrated force is obtained.The concrete pavement structure is simplified into a double-layer on the elastic foundation beam.When the vehicle load acts on the cement concrete pavement,the differential equilibrium equation between the surface layer and the base layer is established under the action of concentrated load.Using the generalized"initial parameter"method,the analytical solutions of the displacement and stress of the double-layer beam are obtained.Through an example,the deformation and stress of the surface layer and the base layer are analyzed.It concludes that increasing the moment of inertia of the surface layer and the base layer and the elastic constant of the foundation can effectively reduce the deformation of the surface layer and the base layer and reduce the maximum stress,but the bending stiffness has little effect on the bending moment of the base layer and the surface layer.Finally,the results are compared with the analysis results of ANSYS to prove the reliability of the research.The results provide a reference for the concrete pavement structure design.