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挡土墙稳定性的不确定性因素主要包括随机性和模糊性。基于模糊数学和概率统计理论,将模糊随机可靠性理论应用于挡土墙稳定性分析中。引入界限参数来确定模糊区域范围,用半梯形隶属函数表征状态函数从安全区、模糊区向破坏区的过渡,给出了模糊随机可靠性的计算方法。本文结合实例得出了在不同界限参数条件下的模糊可靠性指标,分析了模糊区界限参数的变化对模糊可靠性指标的影响,以及功能函数均方差对可靠性指标的影响,使挡土墙稳定性分析更为合理。本文为结构可靠性评价提供了新的思路,对其它工程设计有一定的指导作用。
The uncertainty of retaining wall stability mainly includes randomness and fuzziness. Based on fuzzy mathematics and probability statistics theory, fuzzy random reliability theory is applied to the stability analysis of retaining wall. Boundary parameters are introduced to determine the range of fuzzy region. Semi-trapezoidal membership function is used to characterize the transition of state function from safe zone to fuzzy zone to spoilage zone. The calculation method of fuzzy random reliability is given. In this paper, the fuzzy reliability index under different boundary conditions is obtained with examples. The influence of the change of the boundary parameter of the fuzzy zone on the fuzzy reliability index and the influence of the mean square error of the function function on the reliability index are analyzed. Stability analysis is more reasonable. This article provides a new idea for structural reliability evaluation, and has some guidance to other engineering design.