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1. 中南大学资源与安全工程学院
2. 中南大学地学与环境工程学院
3. 中南大学资源与安全工程学院中国恩菲工程技术有限公司
纸质出版日期:2010,
网络出版日期:2009-10-26,
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史秀志,周健,郑纬,胡海燕,王怀勇.边坡稳定性预测的Bayes判别分析方法及应用[J].工程科学与技术,2010,42(3):63-68.
Shi Xiuzhi, Zhou Jian, Zhang Wei, et al. Bayes Discriminant Analysis Method and Its Application for Prediction of Slope Stability[J]. Advanced Engineering Sciences, 2010,42(3):63-68.
中文摘要: 边坡稳定性的分析是一个复杂的系统工程问题。基于Bayes判别分析(BDA)理论并结合工程实际,选用边坡岩体的重度黏聚力、摩擦角、边坡角、边坡高度及孔隙压力比等6个指标作为边坡稳定性预测的判别因子,建立边坡稳定性预测的Bayes判别分析模型;以32组边坡实测数据作为学习样本进行训练,建立Bayes线性判别函数;以交差确认估计法对判别准则进行评价以检验模型的优良性,以Bayes线性判别函数计算7个待判样品的Bayes判别函数值。研究表明:Bayes判别分类性能良好,与支持向量机方法有较好的一致性,且预测精度高,交差确认估计的误判率较低,为边坡稳定性预测提供了一种新思路。
Abstract:Slope stability analysis is a complex system engineering problem. Based on the principles of Bayes discriminating analysis(BDA) theory and the actual characteristics of the project
the Bayes discriminating analysis model to predict slope stability was established to predict slope stability. Six indexes
i.e.
unit weight
cohesion force
internal friction angle
slope angle
slope height
and pore pressure ratio were used as discriminant factors to establish a discriminant analysis model for slope stability forecast. Bayes discriminant functions obtained through training 32 measured data of slope were employed to compute the Bayes function values of the evaluating samples. The cross-validation method was introduced to verify the stability of BDA model and the ratio of mistake-discrimination was low after the BDA model was trained. Seven data in the slope engineering were used to test the discriminant ability of BDA model
the maximal function value was used to judge which population the evaluating sample belongs to. The results showed that the prediction results are identical with actual situation
and consistent with the support vector machine model
which prove that the BDA model has good classifying performance
high prediction accuracy and low misdiscrimination rate and can be used in practical engineering.
边坡稳定性预测Bayes判别分析(BDA)交差确认估计法
slope stabilitypredictionBayes Discriminant Analysis(BDA)cross-validation method
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