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传统的极限平衡法在分析锚固边坡稳定性时存在缺陷,为此将塑性力学中的上限法应用到锚固边坡稳定性分析中。文章推导了边坡稳定所需锚固力上限解的数学模型,并用序列二次规划法(SQP)进行了求解。研究发现:锚杆的外锚头距坡脚越远,所需锚固力越大,但在边坡中下部变化不大;锚固力随锚杆的倾角非线性增大,随安全系数线性增大;锚固力和滑裂面形状还与外锚头和锚固体的力学特性有关。为了提高锚固效果,建议在边坡的中下部加强锚杆的布置,而且建议锚杆倾角范围为13~35°。
The traditional limit equilibrium method has some defects in analyzing the stability of anchored slopes. Therefore, the upper bound method in plastic mechanics is applied to the stability analysis of anchored slopes. The mathematical model of the upper bound of anchorage force for slope stability is deduced and solved by the sequence quadratic programming (SQP). The results show that the anchoring force increases with the distance between the outer anchor head of the anchor and the foot of the slope, but does not change much in the middle and lower part of the slope. The anchoring force increases nonlinearly with the inclination of the anchor and increases linearly with the safety factor The anchoring force and the shape of the sliding surface are also related to the mechanical characteristics of the outer anchor head and the anchor. In order to improve the anchoring effect, it is recommended to strengthen the arrangement of the bolts in the middle and lower part of the slope, and it is suggested that the inclination of the bolts should be in the range of 13-35 °.