爆破荷载下巷道关键块体区间的非概率可靠性

发布时间：2018-10-18 07:58

【摘要】：在关键块体稳定性的研究过程中,传统方法需要通过力学试验获得岩体力学参数,然而由于岩体结构复杂,力学试验样本数量有限,很难确定某一个力学参数的概率密度分布,严重影响传统随机概率可靠性分析方法的准确性。当采用区间非概率可靠性分析方法计算可靠度时,通常采用区间数来表示参数的取值,能够较好地反映样本数据较少时参数取值的不确定性,确定某一参数的取值范围比确定参数的概率分布容易。根据区间数学理论,采用区间数表示参数取值,在分析参数取值特性基础上,采用岩体区间强度值,以此反映围岩可靠性分析的不确定性特征。通过探讨区间非概率可靠性指标求解方法,建立爆破荷载下区间可靠性综合分析模型。将提出的方法应用到具体工程中。结果表明:区间非概率可靠性分析与安全系数区间范围和随机可靠度相比,具有无需求解概率密度函数,通过较少样本的区间表示即可实现可靠性分析,能够表征关键块体整体稳定可靠特征的优点。
[Abstract]:In the process of studying the stability of key blocks, the traditional method needs to obtain the mechanical parameters of rock mass through mechanical tests. However, because of the complexity of rock mass structure and the limited number of samples in mechanical tests, it is difficult to determine the probability density distribution of a certain mechanical parameter. The accuracy of the traditional stochastic probability reliability analysis method is seriously affected. When the interval non-probabilistic reliability analysis method is used to calculate the reliability, the interval number is usually used to express the parameter value, which can better reflect the uncertainty of the parameter value when the sample data is less. It is easier to determine the range of a parameter than to determine the probability distribution of a parameter. According to the theory of interval mathematics, the interval number is used to express the parameter value, and on the basis of analyzing the characteristic of parameter value, the interval strength value of rock mass is adopted to reflect the uncertainty characteristic of the reliability analysis of surrounding rock. The comprehensive analysis model of interval reliability under blasting load is established by discussing the method of solving interval non-probabilistic reliability index. The proposed method is applied to specific projects. The results show that compared with the range of safety factor and random reliability, the interval non-probabilistic reliability analysis can realize the reliability analysis without solving the probability density function, and the interval representation of fewer samples can be used to realize the reliability analysis. It can characterize the stability and reliability of the key block as a whole.
【作者单位】：中南大学资源与安全工程学院;江西理工大学应用科学学院;
【基金】：国家自然科学基金面上项目(51274249)~~
【分类号】：TD313

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