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中文摘要：
基于比奥固结理论，将土体视为横观各向同性弹性体，土性参数考虑为随机变量，结合梯度优化法和有限层理论，推导出随机有限层的理论计算公式。根据理论推导，编制了随机有限层的计算程序，程序中采用了二级分层技术，使得计算更加合理。采用Matlab软件自带的GUI工具进行界面设计，利用Matlab与Visual C＋＋接口技术，实现Visualc＋＋和Matlab的混合编程，编制出可独立运行的随机有限层可视化程序。最后进行了算例分析，计算结果表明：这种方法是可行性，为地基沉降可靠度计算提供了一种新方法，值得进一步进行研究。
英文摘要：
Based on the Biot＇s consolidation theory, the foundation is regarded as transversely isotropic and the soil parameters are considered as random variables. Combined the finite layer theory with gradient optimization schemes, a formula of stochastic finite layer theory is deduced. A program is programmed based on the theory. The quadric-layered technique is used in the program, which makes the calculation more reasonable. An interface is designed using GUI in Matlab. Based on the interface technology of Matlab and Visual C＋＋, a visual program is programmed using hybrid programming of VC＋＋ and Matlab. Finally, the program is testet using an example. It is shown that the method is feasible; it is worth studying reliability analysis of soft foundation settlement.
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