基于状态空间法的含裂缝水泥路面结构分析

Structural analysis of cement pavement with cracks based on state-space method

为了通过解析方法求解含裂缝连续配筋混凝土路面(CRCP)的内力与变形,基于状态空间法和Euler-Bernoulli梁理论,引入能揭示刚度弱化的接头模型来模拟裂缝,建立综合考虑土体竖向抗力、裂缝处的抗剪切力和抵抗弯矩的三弹簧单层直梁模型,通过MATLAB编程求得了含裂缝路面结构在竖向荷载作用下变形和内力的解析解,并与已有文献和有限元的结果对比,验证了解析结果。探讨了裂缝间距、荷载大小和面层厚度等参数对路面结构变形响应的影响,其结果也表明了本文解析方法的正确性。

To determine the deformations and internal forces of Continuously Reinforced Concrete Pavement(CRCP)with cracks by the analytical solution based on the state-space method and EulerBernoulli beam theory,a three-spring straight beam model was proposed. The vertical soil resistance and the rotation-resisting and shear-resisting capacities of the cracks were taken into account. In addition,the joint model which reveals the stiffness degradation was introduced to simulate the cracks. The analytical solutions for the internal forces and deformations of the pavement structure with cracks under vertical load were obtained by MATLAB programming. The analytical solutions were verified by the existing literature and finite element method. The influences of crack spacing,the magnitude of load and the surface thickness on the deformation response of the pavement structure were discussed. This also validates the analytical approach proposed in this paper.