摘要
为保证采空区上方作业人员和采掘设备安全,采用力学分析方法,将浅埋采空区顶板概化为固支梁力学结构模型,建立地面机械施工荷载-采空区顶板系统总势能方程。基于突变理论,构建采空区顶板失稳的尖点突变模型,获得采空区顶板突变失稳判据,建立采空区顶板保持稳定情况下机械施工荷载计算模型,并进行实例验证。结果表明:采空区顶板岩梁所受侧向水平推力越大,岩梁弹性模量越小,采空区跨距越大,采空区顶板越容易发生突变失稳,其失稳的必要条件取决于顶板内部特性,与外部作用无关;地面施工荷载作用下采空区顶板失稳的充要条件取决于顶板内部特性和外部作用。
To ensure the safety of the operation personnel and the mining and excavation equipment at the place over the goaf,based on the mechanical analysis,the rock beam of shallow goaf was generalized as a mechanical structure model like clamped-clamped beam,a total potential energy equation was established for the system of ground mechanical construction loading and goaf roof. Based on the catastrophe theory,a cusp catastrophe model was built for instability of goaf roof,a criterion was obtained for catastrophic instability of goaf roof,and then a calculation model was built for mechanical construction loading under the condition of maintaining the goafroof. As well,example verification of the calculation model was carried out. The results show that the larger the lateral thrust force acting on goaf roof rock beam is,the smaller the elastic modulus of rock beam is and the greater the span of the goaf is,the greater the probability of losing stability for the goaf roof will be,that the necessary condition for the instability of goaf roof is related to the internal characteristics of roof,which has nothing to do with external conditions,and that the necessary and sufficient condition for the instability of goaf roof under ground construction loading depends on the combination of internal characteristics of roof and external conditions.
作者
李玉飞
叶义成
刘晓云
胡南燕
罗斌玉
元宙昊
LI Yufei YE Yicheng LIU Xiaoyun HU Nanyan LUO Binyu YUAN Zhouhao(School of Resource and Environmental Engineering, Wuhan University of Science and Technology, Wuhan Hubei 430081, China Hubei Key Laboratory for Efficient Utilization and Agglomeration of Metallurgie Mineral Resources, Wuhan Hubei 430081, China)
出处
《中国安全科学学报》
CAS
CSCD
北大核心
2017年第7期133-138,共6页
China Safety Science Journal
基金
国家自然科学基金资助(51574183)
关键词
突变理论
地面荷载
浅埋采空区
顶板岩梁
势能方程
失稳判据
稳定性
catastrophe theory
ground loading
shallow goaf
roof rock beam
potential energy equation
instability criterion
stability
