基于区间理论的挡土墙稳定性非概率可靠性分析
Non-probabilistic reliability analysis of retaining walls based on interval theory
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摘要: 针对现有可靠性分析方法的局限性与不足,首先,根据挡土墙岩土力学参数取值的区间性特征,引入区间分析理论,视挡土墙岩土力学参数为区间变量,在确定出挡土墙稳定可靠性分析的合理功能函数基础上,建立出基于区间理论的挡土墙结构稳定非概率可靠性计算模型;其次,针对区间运算结果扩张问题,引入区间组合法和改进区间截断法,建立出挡土墙稳定性非概率可靠性分析的区间运算方法,进而建立出基于区间理论的挡土墙稳定性非概率可靠性分析方法;最后,将该方法应用于工程实例,结果表明了本文方法的合理性与可行性,并探讨了岩土力学参数对挡土墙稳定性非概率可靠性指标的影响规律,具有一定的工程参考价值。Abstract: Based on the interval features of mechanic parameters of retaining walls and the interval probability of reliability analysis mode,the interval analysis method was introduced to establish non-probabilistic reliability analysis mode for the structural system of retaining walls in which uncertain geotechnical mechanic parameters was regarded as interval variables.In terms of the limitation and shortage of the interval calculating rules,the interval-truncation approach were adopted to determine the range of functional function in order to avoid the interval expansion of functional function while optimization methods were adopted to calculate the non-probabilistic reliability index of retaining walls.It was shown by the simulated results of practical projects that the proposed method was reasonable and reliable.