低填方加筋路基沉降的Kerr模型解

将路面结构简化成Euler-Bernoulli梁,路堤填土和加筋体视作复合材料并简化成可考虑横向剪切作用的Timoshenko梁,软土地基采用可考虑应力扩散的三参数Kerr弹性地基模型模拟。采用能量法建立加筋路基能量平衡...展开更多 将路面结构简化成Euler-Bernoulli梁,路堤填土和加筋体视作复合材料并简化成可考虑横向剪切作用的Timoshenko梁,软土地基采用可考虑应力扩散的三参数Kerr弹性地基模型模拟。采用能量法建立加筋路基能量平衡方程,根据总势能驻值原理得出加筋路基的沉降控制微分方程,并基于特征值法求解沉降微分控制方程,分别求得Kerr地基上路基沉降、路堤剪切应力和弯矩的解析解,分析了软土地基的厚度、模量和加筋体位置等参数对路堤沉降和受力的影响。研究结果表明,相对于Winkler和Pasternak模型,Kerr地基模型能更加准确地模拟低填方加筋路基的沉降。收起 To predict the settlement of low reinforced embankments on soft soil foundation with high accuracy, the pavement structure is modelled as a Euler-Bernoulli beam, and the reinforced embankment is simulated as composite materials and simplified as Timoshenko beams conside...MORE To predict the settlement of low reinforced embankments on soft soil foundation with high accuracy, the pavement structure is modelled as a Euler-Bernoulli beam, and the reinforced embankment is simulated as composite materials and simplified as Timoshenko beams considering the lateral shearing. The soft soil foundation is simulated by the three-parameter Kerr elastic foundation model considering the stress diffusion. To derive the governing differential equations, the energy balance equation is developed, and the principle of stationary total potential energy is used. Based on the eigenvalue differential method, the differential governing equations of settlement deformation of embankment are derived, and the analytical solutions for the settlement, shear stress and bending moment of reinforced embankment on Kerr foundation are established. The effects of the thickness and the elastic modulus of soft soil foundation and the reinforcement position on the stress and settlement of the reinforced embankments are analyzed. The results show that the Kerr foundation model can simulate the settlement of reinforced embankments with higher accuracy than Winkler and Pasternak models.FEWER

作者 王建军 陈福全 李大勇