基于支持向量机的基坑工程可靠性分析

Jichao Xie, Peng Liu
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摘要

在基坑工程设计过程中,存在着土体参数、土层厚度、荷载、地下水深度等诸多不确定因素。因此,计算的位移、沉降和安全系数具有随机性和不确定性。提出了一种基于支持向量机(SVM)的基坑工程可靠性分析方法。首先,确定随机参数的分布。均匀检验用于获得随机参数样本。计算随机参数样本,得到相应的最大水平位移、最大地面沉降、安全系数等响应样本。然后,采用支持向量机建立随机样本与相应响应参数之间的响应面。在响应面的基础上,对拉丁超立方抽样法生成的随机参数进行预测,得到各响应参数的概率密度分布。最后,计算了基坑工程系统失效概率。算例分析表明,该方法计算效率高,计算结果合理。为基坑工程的可靠性分析提供了依据。
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Reliability analysis of foundation pit engineering using support vector machine
The design process in the foundation pit engineering exist many uncertain factors including soil parameters, soil thickness, load and groundwater depth and so on. So the calculated displacement, settlement and safety coefficient are random and uncertain. This paper puts forward a kind of reliability analysis method of foundation pit engineering based on support vector machine (SVM). Firstly, the distributions of the random parameters are determined. The uniform test is used for obtaining random parameter samples. The random parameter samples are calculated to get the corresponding response sample, such as the maximum horizontal displacement, maximum ground settlement and safety factors. Then, the SVM is adopted to establish the response surfaces between the random samples and corresponding response parameters. On the basis of the response surfaces, the random parameters generated by the Latin hypercube sampling method are predicted to obtain the probability density distribution of each response parameter. Finally, the system failure probability of foundation pit engineering is calculated. The case study shows that the method has high computing efficiency and the result is reasonable. It provides the basis for analyzing the reliability of foundation pit engineering.
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