摘要
为了给煤矿塌陷区土地的治理利用提供理论依据,对建筑荷载作用下采空区顶板岩梁的稳定性进行了分析研究。采空区顶板岩梁突变失稳过程是比较典型的偏离平衡态的非线性过程,将浅部开采老采空断裂的顶板岩梁概化为三铰拱式力学结构模型。通过力学分析,建立了顶板岩梁力学系统的总势能方程,利用突变理论,构建了采空区顶板岩梁失稳的尖点突变模型,获得了采空区顶板岩梁突变失稳的条件,并通过工程算例进行了分析和验证。研究结果表明,煤矿塌陷区地基的稳定性不仅与采动岩体受地面建筑荷载的影响程度有关,也与老采空区顶板岩层的稳定性有关。采空区顶板岩梁在地表建筑荷载扰动下,若满足稳定的条件,则顶板岩梁回转后仍然处于稳定平衡状态。否则,采空区顶板岩梁将发生突变失稳。
In order to provide a theoretical basis to treatment and utilization of the lands in coal mining out areas,the stability of the gob roof rock beam under loads of buildings was analyzed and studied.The catastrophe process of gob roof rock beam is typically nonlinear.The shallow cracked mining roof rock beam was generalized as a mechanical structure model like three hinged arch.Through mechanics analysis,the total potential energy equation of the mechanics system of gob roof rock beam was established.Using the catastrophe theory,the cusp catastrophe model of the instability of the gob roof rock beam was constructed,the catastrophic instability condition the gob roof rock beam was deduced,and it was analyzed and verified by an engineering calculation instance.The research results show that the foundation stability of coal mining subsidence area is not only related with the influence of mining rock from ground building loads,but also with the stability of the goaf roof.Under the disturbance of the loads of the ground buildings,if the gob roof meet the stability condition,it will be in a stable equilibrium state after its rotations,or it will undergo mutation instability.
出处
《煤炭学报》
EI
CAS
CSCD
北大核心
2014年第8期1473-1477,共5页
Journal of China Coal Society
基金
国家自然科学基金委员会与神华集团有限责任公司联合资助项目(U1261206)
国家自然基金资助项目(41102169)
河南省科技厅重点科技攻关资助项目(102102210196)
关键词
建筑荷载
采空区
顶板岩梁
突变理论
building load
gob
roof rock beam
catastrophic theory
