基于区间截断法的地下结构模糊能度可靠性模型研究

根据地下结构稳定性影响因素的随机性和模糊性特点,首先,引进三角模糊数理论,建立地下结构物理力学参数的可能性分布函数,然后,在地下结构稳定性评价之模糊可靠性功能函数确定方法研究基础上,引进区间截断法和区间数运算规则,建立了功能函数值域区间的确定方法,并避免了功能函数值域的扩展问题,最后,通过研究地下结构模糊能度可靠性度量方法,建立了地下结构模糊可靠性指标的可能性分布曲线及其失效可能度的确定方法,从而建立了地下结构模糊能度可靠性分析模型与方法。工程实例分析与计算结果表明了本文模型和方法的合理性与可行性。

Study on reliability model of fuzzy probability of underground structure with interval-truncation approach

According to the randomness and fuzziness of the factors which affected the stability of underground structure, firstly, by introducing the theory of triangular fuzzy number, the probability distribution function of physical and mechanical parameters of underground structure was established. Then, based on the studies on methods to decide the functional function of analysis of fuzzy reliability for underground structure, a method to determine the range interval of functional function was founded by introducing interval-truncation approach and rules of operation of interval numbers, and the interval expansion of functional function was tvoided. Finally, through studying the method to measure fuzzy probability of reliability of underground structure, a method to determine the distribution curve on probability of fuzzy reliability index and the failure possibility of underground structure was developed, thereby. A model to analyze the reliability of fuzzy probability of underground structure was brought forward, and its rationality and feasibility were validated by the computation and analysis of a practical engineering project.