摘要
边坡工程的复杂性不仅表现为各岩土参数的变异性和非确定性,而且还在于其极限状态功能函数的非解析性及隐式性。以Janbu法为例,研究了隐式功能函数下易于执行的边坡工程稳定可靠度计算方法。首先,调用边坡极限平衡模式获得岩土基本参数,并利用拉丁超立方试验设计抽取影响边坡稳定性基本参数的适量初始样本。其次,采用地质统计学中的克里金(Kriging)各向异性关联映射方法,将边坡功能函数值表述为随机过程。然后,结合主动学习方法,基于搜索规则调整训练样本,通过反复迭代循环确定满足实际工程精度的随机过程所表示的边坡功能函数。最后,调用随机过程函数通过验算点法(JC法)获得边坡的失效概率。工程算例分析表明,文中方法的求解精度与蒙特卡洛模拟方法相当,但计算过程简明,效率高,更具工程实用性。
The complexity of slope engineering is not only reflected in the variability of geotechnical parameters, but also in the implicit and nonanalytic properties of the performance function. Therefore, the direct calculation of slope stability reliability under implicit performance function that based on Janbu method is researched. First, the slope limit equilibrium model is called to obtain basic geotechnical parameters, and then the initial samples that affect slope stability is acquired through the Latin hypercube sampling. Secondly, using the Kriging anisotropic association mapping method dependence mapping method, the slope function value is expressed as a function of the random process. Then combined with the active learning method, and based on the searching rules to adjust the training samples, the slope performance functions denoted by the random process that meet the accuracy of the actual project is determined through iterative cycle. Finally, the random process function is called to work out the failure probability of slopes through the checking point method(JC method). The case study shows that the accuracy of the proposed method is equivalent to that of the Monte Carlo simulation; but the calculation process is simple, highly efficient, and more practicable.
出处
《岩土力学》
EI
CAS
CSCD
北大核心
2015年第S1期439-444,共6页
Rock and Soil Mechanics
基金
国家自然科学基金(No.51108397)
湖南省自然科学基金(No.2015JJ2136)
湘潭大学人才引进基金(No.KZ08026)
