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| 1 | Application of cusp catastrophe theory to reliability analysis of slopes in open-pit mines显示文摘A method of slope reliability analysis was developed by imposing a state equation on the limit equilibrium theory, given the basis of a fixed safety factor technique. Among the many problems of reliability analysis, the most important problem is to find a performance function. We have created a new method of building a limit state equation for planar slip surfaces by applying the mathematical cusp catastrophe theory. This new technique overcomes the defects in the traditional rigid limit equilibrium theory and offers a new way for studying the reliability problem of planar slip surfaces. Consequently, we applied the technique to a case of an open-pit mine and compared our results with that of the traditional approach. From the results we conclude that both methods are essentially consistent, but the reliability index calculated by the traditional model is lower than that from the catastrophic model. The catastrophe model takes into consideration two possible situations of a slope being in the limit equilibrium condition, i.e., it may or may not slip. In the traditional method, however, a slope is definitely considered as slipping when it meets the condition of a limit equilibrium. We conclude that the catastrophe model has more actual and instructive importance compared to the traditional model. | YANG Kun, WANG Tongxu, MA Zhitao Key Laboratory of Mine Disaster Prevention and Control, Shandong University of Science and Technology, Qingdao 266510, China | 2010 | Mining Science and Technology2010，20，1： | 15 |
| 2 | 各向异性随机场下的边坡模糊随机可靠度分析显示文摘土性参数具有很大的空间变异性,且在水平方向和垂直方向上差异显著。基于随机变量模型的传统边坡模糊随机可靠度分析方法并未对此进行考虑。提出一种能合理考虑土性参数空间变异性的边坡模糊随机可靠度分析方法。首先,视黏聚力和内摩擦角的均值为正态模糊数,对其取不同的λ截集水平并在各截集水平上进行参数组合。其次,利用各向异性随机场模拟土性参数的空间变异性,将有限元法和Monte–Carlo模拟相结合,计算各参数组合对应的可靠度指标。再通过数学方法得到边坡在各截集水平上的可靠度指标。最后,运用加权平均法计算边坡的模糊随机可靠度指标。算例分析表明:与水平方向的空间变异性相比,垂直方向的空间变异性对边坡模糊随机可靠度的影响更为显著;不考虑土性参数的空间变异性在一般情况下会低估边坡的模糊随机可靠度指标,但在抗剪强度参数变异性较大时,反而可能会高估边坡的模糊随机可靠度指标;此外,黏聚力与内摩擦角之间的相关性对边坡失效概率的影响趋势基本不受土性参数空间变异性的干扰。 | 舒苏荀 龚文惠 王佳 王东 喻鹏 | 2015 | 岩土工程学报2015，37，7： | 9 |
| 3 | 油气输送管线可靠度反问题分析显示文摘通过失效分析,建立压力管道的极限状态方程。采用可靠度反分析法,在已知可靠度指标的情况下,分析了设计变量服从正态分布和非正态分布2种情况的随机可靠度反问题计算理论,并用改进的一次二阶矩法对其结果进行验证;求出压力管道的可靠度指标和可靠度,给出算例,并对结果进行分析。分析结果表明,它具有较高的实用性和通用性。 | 黄更平 陈金梅 金誉辉 | 2012 | 化工技术与开发2012，41，2： | 0 |
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