圆形荷载作用下边界效应对道面板弯矩的影响

Influence of boundary effect on bending moment of pavement slab under circular load

利用ABAQUS有限元软件模拟圆形荷载作用下道面板弯矩受边界效应影响的情况,不断改变正方形混凝土板模型的边长,分别计算荷载中心径向单位长度弯矩,同时根据Winkler地基模型无限大板施加轴对称圆形均布荷载的径向单位长度弯矩表达式计算解析解,将解析解与数值解曲线进行比较,发现模型最不合理边长以及最适宜边长均与相对刚度半径l成线性关系,与加载直径D成幂函数关系,最终得出混凝土板模型边长L的表达式,为有限元建模提供参考。

In order to make a better use of the finite element software ABAQUS for simulating pavement slab problem considering boundary effect,the theoretical reference of model size is offered.The influence of boundary effect on bending moment of pavement slab under circular load is simulated by using ABAQUS.Side length of square concrete slab model is constantly changed,and the radial unit length bending moments of load center are respectively calculated.Meanwhile,analytical solution is calculated according to the expression of radial unit length bending moment of axisymmetric circular load acting on infinite plate based on Winkler foundation model,then curves of analytical solution and numerical solution are compared.It is found that the most inappropriate and the most appropriate side length of model are linear with radius of relative rigidity,having a power function with diameter of load.Eventually,the side length expression of concrete slab model is obtained based on diameter of load and radius of relative stiffness,providing reference for finite element modeling.