基于库仑摩擦原理的充填体强度力学模型  

Strength mechanics model of filling body based on Coulomb tribology principle

作　　者：常宝孟 杜翠凤[1,2] 魏丁一 张爱卿 CHANG Baomeng;DU Cuifeng;WEI Dingyi;ZHANG Aiqing(State Key Laboratory of High-Efficient Mining and Safety of Metal Mines,Ministry of Education,University of Science&Technology Beijing,Beijing 100083,China;School of Civil&Resources Engineering,University of Science&Technology Beijing,Beijing 100083,China;College of Architecture Engineering,North China Institute of Aerospace Engineering,Langfang 065000,China)

机构地区：[1]北京科技大学金属矿山高效开采与安全教育部重点实验室,北京100083 [2]北京科技大学土木与资源工程学院,北京100083 [3]北华航天工业学院建筑工程学院,河北廊坊065000

出　　处：《中南大学学报（自然科学版）》2020年第3期777-782,共6页Journal of Central South University:Science and Technology

基　　金：国家重点研发计划项目(2018YFC0604605);国家自然科学基金资助项目(51274023)。

摘　　要：以充填体无限小单元为研究对象,基于库仑摩擦原理建立摩擦充填体强度力学模型,采用理论分析与工程实例相结合的方法研究其变化规律,并应用模型预测值进行现场试验验证模型有效性。研究结果表明:摩擦充填体强度模型预测值随充填体高度的增加而逐渐增加,且充填体高度超过30 m后,由于静摩擦向动摩擦的转化,其增加幅度明显降低;强度预测值随充填体长度的增加变化不大,与宽度无关。摩擦充填体强度模型预测值随充填体尺寸的变化规律与高水自立强度模型的相似,但摩擦充填体强度模型更简易且应用范围更广泛。充填体揭露过程中仍保持稳定,未出现垮塌现象,证明该力学模型是可靠的,该模型满足了安全性和降低充填成本的双重目的。Based on Coulomb tribology principle and taking an infinitesimal unit as the research object,a strength mechanics model of friction filling body was established and the variation law was studied by theoretical analysis and engineering examples.The field test was carried out by applying the predicted values to verify the validity of the model.The results show that the predicted strength of strength mechanics model of friction filling body increases gradually with the height of filling body,and the increasing extent decreases significantly when the height of filling body is over 30 m because of the static friction transforming to dynamic friction.The predicted strength changes little with the length and has no correlation with the width of filling body.The predicted strength of friction filling body model varies with the increase of size of filling body similarly to that of the high water selfsupport strength model,but the strength mechanics model of friction filling body is simpler and has wider application range.The filling body remains stable during the process of uncovering in the field test,and no collapse occurs.It is proved that the mechanical model is reliable and satisfies the dual purpose of safety and reduces the filling cost.

关 键 词：库仑摩擦原理 充填体尺寸 充填体强度 力学模型 

分 类 号：TD853.34[矿业工程—金属矿开采]