考虑细颗粒含量成层的客专粉砂地基固结问题传递矩阵解

基于现有成层地基固结问题求解的局限性及适用性,借助Laplace变换及逆变换法,将体现成层粉砂地基固结特性的参数作为刚度矩阵元素,以矩阵的形式在成层地基层间传递,求解出考虑不同分级加荷及边界条件下成层客专粉砂地基的固结解析解。结合不同细颗粒含量对客专粉砂固结特性的影响规律,研究不同细颗粒含量对成层客专粉砂地基的应力、孔压及位移的发展规律。同时,运用ABAQUS对成层粉砂地基的固结问题进行数值模拟分析,通过和理论解析解对比分析,进一步验证了传递矩阵法求解不同细颗粒含量成层客专粉砂地基固结问题的可靠性和适用性。

Analytical Solution for Consolidation of Multi-layered Silt Sand with Different Fine Particle Contents Based on Transfer Matrix Method

In view of the limitations and applicabilities in the problem solving of the existing layered soil consolidation,the transfer matrix analysis method is proposed to consolidate the multi-layered silt sand foundation of the dedicated passenger railway in perspective of different graded loading and boundary conditions. In the process of the transfer matrix analysis method,the parameters of the layered silt sand are taken as the stiffness matrix elements with the help of the Laplace transform and inverse transform,and the stiffness matrix elements are transferred between silt sand layers in form of a matrix. In accordance with the influence of the fine particle content on the consolidation and compressibility of silt sand,the development law of effective stress,pore pressure and displacement of the multi-layered silt sand with different fine particle contents are studied. Meanwhile,the finite element analysis software ABAQUS is used to simulate the consolidation of multi-layered silt sand foundation. Compared with the analytical results,the practical results show that the proposed transfer matrix method is reliable and applicable for analytical solution of the consolidation of multi-layered silt sand with different fine particle contents. And the theoretical analysis verifies the reliability and applicability of the transfer matrix analysis method in consolidation of the multi-layered silt sand foundation of the dedicated passenger railway.