椭圆形陷落柱厚壁筒突水模式力学判据及数值模拟.pdf

摇 第36卷第3期 煤摇 摇 炭摇 摇 学摇 摇 报 Vol.36摇 No.3摇 摇 2011年 3月 JOURNAL OF CHINA COAL SOCIETY Mar.摇 2011摇 摇 摇 文章编号:0253-9993(2011)03-0452-04 椭圆形陷落柱厚壁筒突水模式力学判据及数值模拟 1 2 2 2 2 宋彦琦 ,王兴雨 ,程摇 鹏 ,彭长剑 ,徐摇 爽 (1郾 中国矿业大学(北京) 理学院,北京摇 100083;2郾 中国矿业大学(北京) 力学与建筑工程学院,北京摇 100083) 摘摇 要:有效地预测、预防岩溶陷落柱突水,运用复变函数、弹塑性力学,推导了椭圆形截面陷落柱 “厚壁筒冶力学模型突水模式的临界判据方程,并通过有限元软件验证了陷落柱受到均布力作用 时,应力分布的解析解。 研究表明:椭圆形截面陷落柱在受到以陷落柱柱体为导水通道的均布力作 用下,厚壁椭圆筒的应力从椭圆筒的内壁到外壁逐渐变化,在椭圆筒内壁的长半轴的两个端点处应 力取得最大值,在椭圆筒的短半轴处的应力取得最小值。 关键词:陷落柱;突水模式;力学判据;数值模拟 中图分类号:TD745郾21摇 摇 摇 文献标志码:A The mechanical criterion and numerical simulation of thick鄄walled elliptical cylinder collapse column model under water inrush 1 2 2 2 2 SONG Yan鄄qi ,WANG Xing鄄yu ,CHENG Peng ,PENG Chang鄄jian ,XU Shuang (1郾School of Science,China University of Mining and Technology(Beijing),Beijing摇 100083,China;2郾School of Mechanics and Civil Engineering,China University of Mining and Technology(Beijing),Beijing摇 100083,China) Abstract:In order to predict and prevent water inrush by karst collapse columns,the criteria equation of elliptical crosssection of thick cylinder collapse columnsmechanical model inwater inrush modewasderivedby using complex function,elastic鄄plastic mechanics and related theories.Using finite element software verified the analytical solution of stress distribution on the edge of thick cylinder under the hydrostatic pressure inside.The results show that the stress change inradial andring directionsof thick鄄walledelliptical cylinderwhentheelliptical crosssection collapsecolumn under uniformhydrostaticpressure,themaximumstressvalueisgotattheintersectionof insidewallofthick鄄walledel鄄 lipti