弹-塑性基础边界一侧采空基本顶板结构初次破断研究  

Study on the first fracture of the main roof plate structure with one side goaf and elastic-plastic foundation boundary

作　　者：陈冬冬[1] 武毅艺 谢生荣[1] 何富连[1] 孙耀辉 石松豪 蒋再胜 CHEN Dongdong;WU Yiyi;XIE Shengrong;HE Fulian;SUN Yaohui;SHI Songhao;JIANG Zaisheng(School of Energy and Mining Engineering,China University of Mining and Technology-Beijing,Beijing 100083,China)

机构地区：[1]中国矿业大学(北京)能源与矿业学院,北京100083

出　　处：《煤炭学报》2021年第10期3090-3105,共16页Journal of China Coal Society

基　　金：国家自然科学基金资助项目(52004286,51974317,52074296)。

摘　　要：为了研究一侧采空条件下基本顶板结构的破断规律,构建考虑煤柱宽度及承载能力与实体煤弹塑性变形的基本顶板结构力学模型,全面计算探究了侧方采空条件下基本顶板在煤柱区及实体煤区的断裂位置、顺序及形态等。结论如下:①煤柱区基本顶的破断形态有3类且随着基本顶厚度h、弹性模量E及弹性煤体基础系数kt增大,而煤柱宽度Lm与煤柱基础系数ksm、煤体塑化范围Lts与塑化程度ξs及跨度L减小时的破断形态变化规律为“单一连续长弧形”→“临界对接双长弧形”→“分隔式双短弧形”;②Lm及ksm主要影响煤柱区基本顶的破断位态;Lm及ksm增大,实体煤区主弯矩减小;③实体煤区基本顶破断位态有5类且随着h,E及ξs增大,而Lts,kt及L减小时的断裂模式演变规律为:“长边与短边断裂线均处于塑化煤体区”→“长边断裂线处于塑化煤体区而短边处于煤体弹塑性分界区”→“长边断裂线位于塑化煤体区而短边断裂线位于弹性煤体区”→“长边断裂线位于煤体弹塑性分界区而短边断裂线位于弹性煤体区”→“长边与短边断裂线均处于弹性煤体区”,存在长边与短边断裂线同时位于煤体弹塑性分界区的情况;④h,E及Lts较大而L及kt较小时,破断顺序为:中部(靠近煤柱侧)→长边(3类位置)→短边(3类位置)→煤柱侧(3类位置);⑤整体破断形态分为3类且随着h,E及kt增大,而Lm,ksm,Lts,ξs及L减小时,整体破断形态的变化模式为:闭合贯通式“非对称■-非对称X”型→临界贯通式“非对称■-非对称X”型→开口非贯通式“非对称■-非对称X”型。针对研究一侧采空基本顶板结构破断的3类力学模型,从模型特征、破断影响因素、初次破断位置、煤柱侧破断形态、实体煤侧破断位置、整体断裂位态及工程指导意义共7个方面,总结对比了“三边固支+简支模型”(第1类)、“三边弹性基础+考�In order to study the fracture rule of the main roof plate structure under the condition of one side goaf,the mechanical model of the main roof plate structure considering the width and bearing capacity of the coal pillar and the elastic-plastic deformation of the solid coal was established.This paper comprehensively calculated and explored the fracture position,sequence and shape of the main roof above the coal pillar area and solid coal area under the condition of one side goaf.The conclusions are as follows.①There are three types of fracture modes of the main roof above the coal pillar area,and with the increase of the thickness h,the elastic modulus E of the main roof and the elastic coal foundation coefficient kt,while with the decrease of the coal pillar width Lm,the coal pillar foundation coefficient ksm,the range of plastic zone Lts,the plasticization degreeξs,and the span L,the change rule of the fracture modes are as follows:“single continuous long arc”→“critical butt joint double long arc”→“separated double short arc”.②The Lm and ksm mainly affected the fracture state of the main roof above the pillar area.With the increase of Lm and ksm,the main bending moment decreased above the solid coal area.③There are five types of fracture states of main roof above the solid coal area.With the increase of h,E andξs,while Lts,kt and L decrease,the change rules of main roof plate fracture modes are as follows:“the long edge and short edge fracture line are above the plasticized coal area”→“the long edge fracture line is above the plasticized coal area while the short edge fracture line is above the elastic-plastic boundary area”→“the long edge fracture line is above the plasticized coal area while the short edge fracture line is above the elastic coal area”→“the long edge fracture line is above the elastic-plastic boundary area of coal while the short edge fracture line is above the elastic coal area”→“the long edge and the short edge fracture line are both above t

关 键 词：一侧采空 弹-塑性基础 初次破断 板结构 基本顶 

分 类 号：TD325[矿业工程—矿井建设]