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基于虚拟试验的边坡失稳概率分析方法

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Keywords: 道路工程,边坡,虚拟试验,失稳概率,条分模式,稳定性系数,条间力

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Abstract:

?针对边坡稳定性分析中,极限平衡条分法得出的边坡稳定性系数表达式是一个高度非线性方程而导致可靠度计算无法进行的问题,按照复杂结构稳定可靠度求解思路,建立了以条分模式稳定性系数计算作为虚拟试验,以二次多项式为验算点逼近过渡函数,依据基本随机变量分析边坡稳定失效概率的方法。以陈祖煜-摩根斯坦边坡条分模式为例,阐明了在新方法中可靠度指标计算的步骤和精度控制及递归修正的实现过程。采用该方法计算了某公路边坡的失稳概率,并与精确解进行了比较。结果表明:该方法计算结果与精确解的相对误差为4.66%,绝对误差为0.535%,适用于边坡工程的失稳概率分析。

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