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本文根据塑性极限平衡原理,考虑地基土性的成层分布及粘结力沿深度的非均匀变化,结合变分法,推导了用于确定成层非均质地基极限承载力的基本公式,并采用拟牛顿算法进行了数值求解;基于大量计算结果,分析了土壤强度及其分布、基础埋深、地震荷载及地下水位深度等各种参数及其组合对地基承载力的影响,并将计算结果与已有的解答进行了比较。最后,对非均质地基承载力的表示方法进行了初步探讨。
In this paper, according to the principle of plastic limit equilibrium, considering the layered distribution of foundation soil and the non-uniform variation of the bonding strength along the depth, combined with the variational method, the basic formula for determining the ultimate bearing capacity of layered heterogeneous foundations is deduced. The quasi-Newton algorithm was used for numerical solution. Based on a large number of calculation results, the effects of various parameters such as soil strength and its distribution, foundation burial depth, seismic load and depth of groundwater level, and their combinations on the bearing capacity of the foundation were analyzed and the results were calculated. Compared with the existing solutions. Finally, a preliminary discussion was made on the representation of the bearing capacity of non-homogeneous foundations.