基于燕尾突变模型的土质边坡稳定性研究

摘要

The catastrophe theory is an effective methodology to study the discontinuous phenomenon in nature world, so it is feasible to the stability research of soil slope. A swallowtail catastrophe model is established based on a practical soil slope. Three important influential factors of cohesion force, frictional angle and slope angle are selected to calculate the catastrophe ratio of the soil slope by swallowtail catastrophe formula. The calculated results are used to analyze the slope stability and are compared with traditional method, and the model is verified. The application of the presented model in practical engineering shows that it is con-venient, reasonable and applicable.%突变理论是研究自然界不连续变化现象的一种有效方法，对土质边坡稳定性研究有一定适应性，根据实际土质边坡稳定状态，建立了相应的燕尾突变模型。选取了凝聚力、摩擦角、边坡坡角3个主要影响边坡稳定性的因素变量，运用燕尾突变公式计算了边坡突变级数，根据计算结果分析了边坡系统的稳定性，并与传统方法进行对比分析，验证了该方法的准确性。燕尾突变模型在工程实际中的应用表明，该方法准确简便、合理可行，具有良好的实际应用价值。