基于Winkler理论悬臂U型路基底板分析方法

Analysis Method of Cantilever U-shaped Subgrade Slab Based on Winkler Theory

系统开展了U型路基底板竖向荷载等效方法和Winkler弹性地基梁通用解法的研究,并将其应用于U型路基底板内力及变形关键影响因素分析。结果表明:U型路基内部填土产生的底板竖向荷载应采用等效均布方法;底板上表面分布荷载通过微段集中荷载叠加方法,能够得到复杂荷载条件下的Winkler弹性地基梁通用解答,并可实现U型路基底板内力与变形的快速求解;地基系数和底板厚度是决定底板承载性能的关键因素,地基系数越大,底板不均匀变形越小,结构内力越小;底板厚度同其刚度直接相关,厚度越大,底板内力及变形的不均匀性相对越小,但内力绝对值增大。

The vertical load equivalent method and the general solution of Winkler elastic foundation beam have been systematically studied and applied to key influencing factors analysis of U-shaped subgrade plate internal force and deformation accordingly.The results show that the equivalent uniform method should be adopted for u-shaped subgrade internal filling vertical load and micro segment concentrated load superposition method should be adopted for upper surface distributed load of base slab which brings the general solution of Winkler elastic foundation beam for complex load condition and the internal force and deformation of the cantilever U-shaped subgrade slab could be solved quickly as well.Foundation coefficient and slab thickness are the two decisive factors for slab bearing capability.The larger the foundation coefficient is,the smaller the uneven deformation and the internal force of the slab are.Slab thickness is directly related to its stiffness.The greater the thickness is,the smaller the uneven of the slab internal force and deformation are,but the value of internal force would increase.