【摘要】 基于直接模态摄动法方法,提出了变参数土层一维固结方程的半解析解。该方法利用均匀土层一维固结方程的特征值和固有函数,将变参数土层的固结微分方程转化为代数方程,从而得到变参数土层的特征值和固有函数,计算结果具有两阶以上精度。在此基础上进一步导出了超孔隙水压力和沉降随时间变化的计算公式。该文建议的方法对土层性质的变化规律没有特殊要求,不仅适用于层状土层,也适用于土介质物理特性沿深度不均匀变化的土层,从而为各类变参数土层的一维固结分析提供一种有效的计算手段。通过算例,表明这一方法简单实用,且具有良好的精度。更多还原

【Abstract】 Based on direct mode perturbation method,a new approach is developed to analyze one-dimensional consolidation equation of soil layers with variable properties.The new method has at least second-order precision.The eigenvalues and eigenfunctions of the homogeneous soil layers are used to simplify the solution of differential equation of one-dimension consolidation of nonhomogeneous soil layers.As the result,a set of algebraic equations are obtained,and it will be solved for semi-analytic solution of one-dimensional consolidation equation.According to the semi-analytic solution of eigenvalues and eigenfunctions of the nonhomogeneous soil layers,the formulae of excess pore water pressure and settlement are derived,which vary with time.Using the proposed method,there is no restriction on the variation soil layer properties with depth.It can be applied to the layered homogeneous soil,as well as any other soil layers with property varying with depth in any form.The results of numerical examples show that the method is simple,practicable and accurate.更多还原