基于尖点突变理论的土质边坡稳定性分析

边坡稳定性判断历来是工程的重点内容,通过实用化的正交设计原理进一步对边坡试验方案进行优化,采用黏聚力c、内摩擦角φ、坡角β、坡高H、容重γ、以及孔隙水压比γw六类因素以及相对应的五水平进行试验,然后通过强度折减法计算边坡的安全系数大小,最后通过用尖点突变理论中的突变级数法进一步判断分析边坡稳定性,发现单一基于有限元强度折减法计算安全系数的值来判断边坡稳定性的局限性,从而得出基于尖点突变理论与有限元强度折减法综合判断边坡稳定性的准确性、实用性。

Stability analysis of soil slope based on cusp catastrophe theory

Slope stability judgment is one of the most important aspects of the project. Through the practical application of the principle of orthogonal design to further optimize the slope experiment scheme, six factors including the cohesion of C, internal friction angle , slope , slope height H, bulk density , and poisson''s ratio , and related five levels were used in the experiment. Then the safety factor of slope was calculated by strength subtraction. At last, by mutation progression method in the cusp mutation theory, the slope stability was further judged and analyzed. It is found that the slope stability judged and analyzed by the safety factor which was calculated only based on the finite element strength reduction had some limitations, so it was of accuracy and practicability to comprehensively judge the slope stability based on cusp catastrophe theory and finite element strength reduction.