基于弹性薄板模型的开放式充填顶板稳定性研究
|
摘要
采用超高水材料开放式充填技术的关键是保持顶板的完整性,将充填工作面分别简化为四边固支板、三边固支一边简支板、两边固支两边简支板、一边固支三边简支板和四边简支板5种边界支撑的弹性板,并基于虚功原理推导了弹性地基板以及四边受水平压力作用时弹性板挠度和弯矩的表达式,分析研究了板最大弯矩与推进距离的关系,为超高水材料开放式充填开采工作面开采宽度及工作面的布设方式设计提供依据。根据现场实测数据分析,对理论模型进行了验证。
The key of using super high water material open backfilling technology is to maintain the integrity of the roof. The filling face can be simplified into five kinds of boundary support elastic plate. They are: four edges clamped board, three edges clamped side of the simply supported plate, two sides clamped on both sides of the simply supported plate, one side clamped and trilateral simply-supported plate and plate with four simply supported edges. Furthermore, based on the principle of virtual work, the elastic foundation plate and the expression of elastic plate deflection and bending moment when four edges are affected by the horizontal pressure effect are deduced, and the relationship between plate maximum bending moment and forward distance are analyzed. Thus, the model provides the theoretical evidences for the mining width of super high water material open backfilling mining working face and the layout mode of working face. According to the analysis of field measured data, the correctness and reliability of the model can be verified.
The key of using super high water material open backfilling technology is to maintain the integrity of the roof. The filling face can be simplified into five kinds of boundary support elastic plate. They are: four edges clamped board, three edges clamped side of the simply supported plate, two sides clamped on both sides of the simply supported plate, one side clamped and trilateral simply-supported plate and plate with four simply supported edges. Furthermore, based on the principle of virtual work, the elastic foundation plate and the expression of elastic plate deflection and bending moment when four edges are affected by the horizontal pressure effect are deduced, and the relationship between plate maximum bending moment and forward distance are analyzed. Thus, the model provides the theoretical evidences for the mining width of super high water material open backfilling mining working face and the layout mode of working face. According to the analysis of field measured data, the correctness and reliability of the model can be verified.
引文
[1]冯光明,丁玉,朱红菊,等.矿用超高水充填材料及其结构的实验研究[J].中国矿业大学学报,2010,39(6):813-819.FENG Guang-ming,DING Yu,ZHU Hong-ju,et al.Experimental research on a super high-water packing material for mining and its micro morphology[J].Journal of China University of Mining&Technology,2010,39(6):813-819.
[2]冯光明,孙春东,王成真,等.超高水材料采空区充填方法研究[J].煤炭学报,2010,35(12):1963-1968.FENG Guang-ming,SUN Chun-dong,WANG Chengzhen,et al.Research on goaf filling methods with super high water material[J].Journal of China Coal Society,2010,35(12):1963-1968.
[3]冯光明,王成真,李凤凯,等.超高水材料开放式充填开采研究[J].采矿与安全工程学报,2010,27(4):453-457.FENG Guang-ming,WANG Cheng-zhen,LI Feng-kai,et al.Research on open back filling with highly water absorbing material[J].Journal of Mining&Safety Engineering,2010,27(4):453-457.
[4]钱鸣高,缪协兴,何富连.采场“砌体梁”结构的关键块分析[J].煤炭学报,1994,19(6):557-563.QIAN Ming-gao,MIAO Xie-xing,HE Fu-lian.Analysis of key block in the structure of voussoir beam in longwall mining[J].Journal of China Coal Society,1994,19(6):557-563.
[5]钱鸣高.老顶的初次断裂步距[J].矿山压力,1987,4(1):1-6.QIAN Ming-gao.The first collapse span of main roof[J].Ground Pressure and Strata Control,1987,4(1):1-6.
[6]钱鸣高,石平五.矿山压力与岩层控制[M].徐州:中国矿业大学出版社,2003:77-84.
[7]ZHU De-ren.Structure of the roof at the end of longwall face and its support[C]//The Aus IMM Illawarra Branch,Ground Movement and Control related to Coal Mining,1986.
[8]朱德仁,钱鸣高.长壁工作面老顶破断的计算机模拟[J].中国矿业大学学报,1987,16(3):1-9.ZHU De-ren,Qian Ming-gao.The computer simulation of longwall face old roof breakage[J].Journal of China University of Mining&Technology,1987,16(3):1-9.
[9]王作棠,钱鸣高.老顶初次来压步距的计算预测法[J].中国矿业大学学报,1989,18(2):9-18.WANG Zuo-tang,Qian Ming-gao.The calculating methods of the first weighting span of main roof[J].Journal of China University of Mining&Technology,1989,18(2):9-18.
[10]钱鸣高,缪协兴,许家林.岩层控制中的关键层理论研究[J].煤炭学报,1996,21(3):225-230.QIAN Ming-gao,MIAO Xie-xing,XU Jia-lin.Theoretical study of key stratumin ground control[J].Journal of China Coal Society,1996,21(3):225-230.
[11]钱鸣高,何富连,王作棠,等.再论采场矿山压力理论[J].中国矿业大学学报,1994,23(3):1-9.QIAN Ming-gao,HE Fu-lian,WANG Zuo-tang,et al.A further discussion on the theory of the strata behaviors in longwall mining[J].Journal of China University of Mining&Technology,1994,23(3):1-9.
[12]王悦汉,邓喀中,吴侃,等.采动岩体动态力学模型[J].岩石力学与工程学报,2003,22(3):352-357.WANG Yue-han,DENG Ka-zhong,WU Kan,et al.On the dynamic mechanics model of mining subsidence[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(3):352-357.
[13]许家林.岩层移动与控制的关键层理论及其应用[D].徐州:中国矿业大学矿业工程学院,1999.
[14]何国清,杨伦.矿山开采沉陷学[M].徐州:中国矿业大学出版社,1991.
[15]张福范.弹性薄板[M].北京:科学出版社,1963:67-84.
[2]冯光明,孙春东,王成真,等.超高水材料采空区充填方法研究[J].煤炭学报,2010,35(12):1963-1968.FENG Guang-ming,SUN Chun-dong,WANG Chengzhen,et al.Research on goaf filling methods with super high water material[J].Journal of China Coal Society,2010,35(12):1963-1968.
[3]冯光明,王成真,李凤凯,等.超高水材料开放式充填开采研究[J].采矿与安全工程学报,2010,27(4):453-457.FENG Guang-ming,WANG Cheng-zhen,LI Feng-kai,et al.Research on open back filling with highly water absorbing material[J].Journal of Mining&Safety Engineering,2010,27(4):453-457.
[4]钱鸣高,缪协兴,何富连.采场“砌体梁”结构的关键块分析[J].煤炭学报,1994,19(6):557-563.QIAN Ming-gao,MIAO Xie-xing,HE Fu-lian.Analysis of key block in the structure of voussoir beam in longwall mining[J].Journal of China Coal Society,1994,19(6):557-563.
[5]钱鸣高.老顶的初次断裂步距[J].矿山压力,1987,4(1):1-6.QIAN Ming-gao.The first collapse span of main roof[J].Ground Pressure and Strata Control,1987,4(1):1-6.
[6]钱鸣高,石平五.矿山压力与岩层控制[M].徐州:中国矿业大学出版社,2003:77-84.
[7]ZHU De-ren.Structure of the roof at the end of longwall face and its support[C]//The Aus IMM Illawarra Branch,Ground Movement and Control related to Coal Mining,1986.
[8]朱德仁,钱鸣高.长壁工作面老顶破断的计算机模拟[J].中国矿业大学学报,1987,16(3):1-9.ZHU De-ren,Qian Ming-gao.The computer simulation of longwall face old roof breakage[J].Journal of China University of Mining&Technology,1987,16(3):1-9.
[9]王作棠,钱鸣高.老顶初次来压步距的计算预测法[J].中国矿业大学学报,1989,18(2):9-18.WANG Zuo-tang,Qian Ming-gao.The calculating methods of the first weighting span of main roof[J].Journal of China University of Mining&Technology,1989,18(2):9-18.
[10]钱鸣高,缪协兴,许家林.岩层控制中的关键层理论研究[J].煤炭学报,1996,21(3):225-230.QIAN Ming-gao,MIAO Xie-xing,XU Jia-lin.Theoretical study of key stratumin ground control[J].Journal of China Coal Society,1996,21(3):225-230.
[11]钱鸣高,何富连,王作棠,等.再论采场矿山压力理论[J].中国矿业大学学报,1994,23(3):1-9.QIAN Ming-gao,HE Fu-lian,WANG Zuo-tang,et al.A further discussion on the theory of the strata behaviors in longwall mining[J].Journal of China University of Mining&Technology,1994,23(3):1-9.
[12]王悦汉,邓喀中,吴侃,等.采动岩体动态力学模型[J].岩石力学与工程学报,2003,22(3):352-357.WANG Yue-han,DENG Ka-zhong,WU Kan,et al.On the dynamic mechanics model of mining subsidence[J].Chinese Journal of Rock Mechanics and Engineering,2003,22(3):352-357.
[13]许家林.岩层移动与控制的关键层理论及其应用[D].徐州:中国矿业大学矿业工程学院,1999.
[14]何国清,杨伦.矿山开采沉陷学[M].徐州:中国矿业大学出版社,1991.
[15]张福范.弹性薄板[M].北京:科学出版社,1963:67-84.