工程地质学报2012,Vol.20Issue(1):51-57,7.
边坡工程可靠性分析的最大熵方法
THE MAXIMUM ENTROPY METHOD FOR RELIABILITY ANALYSIS OF SLOPE ENGINEERING
摘要
Abstract
The maximum entropy method is used to conduct the reliability analysis for slope engineering. The entropy is enlarged by the partial information of the existed samples. The high order moment information of the random variables fully uses the sample moment to infer the slope reliability probability density function. Then the slope failure probability is calculated. This method is for the distribution of basic random variables without special requirement. It avoids the conventional method in the process of computation in the iteration points for non-normal random variables to approximate the yield of the normal processes defects. Usually, the function of real probability density function is difficult to obtain,even can't be calculated. So the Pearson curve clan is introduced to solve the high-order moment for geotechnical parameter random variable. It can easily get the function of high order center. It is based on the maximum entropy principle moment fitting get function of maximum entropy density function. It uses the interval truncation method and Gauss-Kronrod respectively to determine the maximum entropy density function. An example is analyzed. The results show that this method is of high efficiency,reliable. It overcomes the problem ofthe traditional methods that the solving process is complicated and low accuracy of faults. The new method is appliedin the reliability analysis of slope engineering. It has certain application prospect and practical value.关键词
边坡工程/最大熵方法/可靠性分析/Pearson曲线族/破坏概率Key words
Slope engineering/Maximum entropy method/Reliability analysis/Pearson Curve clan/Failure probability分类
建筑与水利引用本文复制引用
王宇,张慧,贾志刚..边坡工程可靠性分析的最大熵方法[J].工程地质学报,2012,20(1):51-57,7.基金项目
国家"十一五"科技支撑计划项目(2008BAC47B0)和交通部西部交通建设科技项目(200906). (2008BAC47B0)