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考虑层状地基一维固结问题的复杂性,现有解答较为繁杂同时不便应用。该文基于Liebmann电阻网原理,推导了初始孔压沿深度任意分布、荷载随时间任意变化作用下的孔压、平均固结度的解答。该解对于各种复杂条件均具有统一的矩阵表达式,便于编程计算和工程应用。通过与精确解的比较论证了该文方法的有效性。最后,对三层地基一维固结问题进行了分析和讨论。
Considering the complexity of one-dimensional consolidation of layered foundations, the existing solutions are complicated and inconvenient to apply. Based on the principle of Liebmann resistivity network, this paper deduces the solution of pore pressure and average degree of consolidation under the condition of arbitrary distribution of initial pore pressure along depth and load under any change of time. The solution for a variety of complex conditions have a unified matrix expression, easy programming and engineering applications. The validity of this method is demonstrated by comparison with exact solutions. Finally, the one-dimensional consolidation of the three-layer foundation is analyzed and discussed.