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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。
Based on the direct mode perturbation method, a semi-analytical solution of the one-dimensional consolidation equation of soil with variable parameters is proposed. In this method, the eigenvalues and eigenfunctions of one-dimensional consolidation equation of uniform soil layer are used to convert the consolidation differential equation of variable-parameter soil layers into algebraic equations, and the eigenvalues and intrinsic functions of soil layers with variable parameters are obtained. The calculation results have two Accuracy above the order. On this basis, the formula of excess pore water pressure and settlement with time is further derived. The proposed method has no special requirements on the law of the change of the soil properties. It is not only applicable to the layered soil but also to the soil whose soil physical properties vary along the depth, Dimensional consolidation analysis provides an effective means of calculation. The example shows that this method is simple and practical, and has good accuracy.