刚性抗滑桩结构锚固深度的模糊随机可靠性分析

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刚性抗滑桩结构的主要失稳模式是锚固段内桩侧土体受压失稳。为计算刚性抗滑桩结构的模糊随机可靠性指标和可靠度,首先根据抗滑桩滑面以下桩侧压应力δy在两个深度处的极值,分别建立两个极值下刚性抗滑桩锚固深度可靠性分析的结构功能函数。计算时,利用定值法比较两个极值的大小,选择较大的极值所对应的结构功能函数作为待计算的抗滑桩可靠性分析的结构功能函数,然后,考虑抗滑桩结构可靠性分析中的随机性和模糊性,建立模糊随机可靠性分析模型。在一次二阶矩法的基础上,推导出计算模糊随机可靠度的公式,用L-R型模糊数描述随机参数的均值和方差,利用分解定理处理模糊数,得到结构的随机模糊可靠性指标和可靠度。根据上述方法,利用MATLAB程序计算了某刚性抗滑桩,得出了结构的模糊可靠性指标和模糊可靠度,计算结果与安全系数法具有很好的一致性。 The main instability mode of rigid anti-slide pile structure is the instability of soil under pile side in the anchorage section. In order to calculate the fuzzy random reliability index and reliability of the rigid anti-slide pile structure, firstly, according to the extremum of the compressive stress δy of the pile under the anti-slide pile slip surface at two depths, two rigid anti-slide piles Structural function of anchorage depth reliability analysis. In the calculation, the value of the two extremums is compared by the fixed value method, and the structural function corresponding to the larger extremum is selected as the structural function function of the reliability analysis of the anti-slide pile to be calculated. Then, Randomness and fuzziness in sexual analysis, and establish fuzzy random reliability analysis model. Based on the first order second moment method, the formula for calculating the fuzzy random reliability is deduced. The mean and variance of the random parameters are described by using the LR fuzzy numbers. The fuzzy numbers are processed by the decomposition theorem, and the stochastic fuzzy reliability index and reliability of the structure are obtained degree. According to the above method, a rigid anti-slide pile is calculated by MATLAB program, and the fuzzy reliability index and fuzzy reliability of the structure are obtained. The calculated results are in good agreement with the safety factor method.
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