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Analysis of non-linear consolidation of soft clay by differential quadrature method

机译:用微分求积法分析软黏土的非线性固结

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摘要

Due to the complexity of the non-linear consolidation of soft clay, numerical method is always adopted to its solution. The differential quadrature method (DQ method) equaling to a high precision finite difference method can obtain highly accurate numerical solutions of differential equations using less grid points. This numerical method is always used to solve the complicated nonlinear physical problem governed by partial equations. In this paper, DQ method is implemented to one dimensional non-liner consolidation equation and the boundary conditions. Euler forward scheme is used to solve the discrete equation, and the pore pressure and consolidation curves are prepared. The present numerical results are compared with the analytical solutions. Compared with the other numerical method, the method of solving the non-linear consolidation equation by the DQ method in this paper is very simple and reasonable. The DQ. method is successfully implemented to the soft clay consolidation analysis and can assure satisfied numerical results with less grid points.
机译:由于软黏土非线性固结的复杂性,其求解一直采用数值方法。等同于高精度有限差分法的微分求积法(DQ方法)可以使用较少的网格点获得微分方程的高精度数值解。这种数值方法始终用于解决由偏方程控制的复杂非线性物理问题。本文针对一维非线性固结方程和边界条件实现了DQ方法。用欧拉正演法求解离散方程,并编制了孔隙压力和固结曲线。将当前数值结果与解析解进行比较。与其他数值方法相比,本文采用DQ方法求解非线性固结方程的方法非常简单合理。 DQ。该方法已成功地应用于软黏土固结分析,并能以较少的网格点确保令人满意的数值结果。

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