弹塑性围岩砂浆锚杆支护问题的估算法

本文从现场量测资料出发,拟定锚杆应变深度曲线的数学模型,据此求解锚杆的应力与位移。将锚杆对围岩的反力简化为轴对称径向体积力,根据莫尔-库仑屈服条件求解锚固区径向应力。将锚固区视为承载结构,按照传统支护的围岩变形公式确定锚杆支护的围岩变形。以轴对称解为基础,考虑围岩的周向非均匀变形,从锚杆与其轴线处围岩的应力应变关系入手,建立锚杆与围岩的变形协调条件,提出了求解砂浆锚杆支护问题的基本方程。

The Estimation of Grouting Rod Support Strength in Elasto-Plastic Surrounding Rock

This paper describes the mathmatical model of the strain of grouting rod according to measuring data in situ. The stress and displacement of the grouting rod can be calculated by this model. The radial stress of the surrounding rock can be solved by means of Mohr-Coulomb yield condition if the reaction of the rod on the surrounding rock is assumed to be symmetric radial action. The deformations of the grouting rod support are determined according to the conventional deformation formula of the supporting structure consider the peripheric deformation of the surounding rock is non-uniform but symmetric to axis by the deformation of grouting rod being consistent with that of surrounding rock, the basic equations of grouting rod support was put for-word.