改进的双参数层状地基模型

文克尔地基模型广泛应用于弹性地基梁、板的设计计算，但由于该模型过于简化，不能正确反映地基土的工程性质。为此，提出了一种改进的双参数层状地基模型。该模型是Vlazov模型的延伸和发展，由一系列的弹性层组成，对每一层的应力应变分布做了一定的假设。通过积分变换的方法，可以求出该模型每一层表面位移与力的关系，进而形成层刚度矩阵。按照有限元法的原理，将每一层的刚度矩阵凝聚成总体刚度矩阵求解，与Vlazov模型计算结果的比较，证明该方法是正确的，还得到了荷载作用于层状地基模型内部的解，为双参数层状地基模型用于桩基分析打下了理论基础。

An improved two-parameter layer model

Winkler’s model is widely used in designing elastic foundation beam and plate, but this model is too simple to reflect the characters of subsoil correctly. A new two-parameter layer model is presented. The model consists of a number of elastic layers, in which the distributions of stress and strain are assumed. Layer stiffness matrix, which expresses the relation of force and displacement on surface of every layer, can be calculated applying integral transformation. Thus, the layer system can be solved through compiling layer stiffness matrixes to form total matrix under the principle of FEM. The model is viewed as an extension of Vlazov model, and proved to be correct comparing with the result gained from Vlazov model. The most important thing is that the result of load embedding in layer model is gained; this means the method presented can be adopted to calculate pile foundations.