岩土边坡稳定性分析的模糊有限元方法研究

Study on fuzzy finite element method of rock and soil slope analysis

针对边坡工程稳定性评价的岩土力学参数的模糊性,研究了边坡稳定性分析的模糊有限元方法,并提出了边坡工程分析的模糊有限元快速求解方法。利用模糊有限元方法对实例边坡工程进行了模糊有限元研究,研究结果表明:岩体力学参数的模糊性会导致边坡位移和应力分析结果的模糊性,而采用模糊有限元分析方法对边坡进行分析可以增加工程技术人员对边坡位移、应力和安全度的全面认识,降低由于计算参数模糊性的影响带来边坡稳定性评价风险。

Fuzzy character widely exists in rock and soil mechanical parameters used for the analysis of slope engineering. Fuzzy finite element method was developed to describe the response of fuzzy character to soil and rock structure. A new faster solution for governing equations of finite element method was put forward to decrease time of computation. Finally fuzzy finite element method was adopted to analyze a slope in Xiangjiaba hydro-electrical project. Case study indicates that the stresses and displacements of the slope are fuzzy variables as a response to fuzzy character of mechanical parameters. The results obtained by fuzzy finite element method could help engineer to know more about the distribution of stress and displacement, and about safety factors of slope than the certain finite element method. Because of more possibility of parameters being considered, the fuzzy finite element method could also decrease the decision risk due to the fuzzy character of mechanics parameters.