椭圆形陷落柱厚壁筒突水模式力学判据及数值模拟

The mechanical criterion and numerical simulation of thick-walled elliptical cylinder collapse column model under water inrush

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"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。

In order to predict and prevent water inrush by karst collapse columns,the criteria equation of elliptical cross section of thick cylinder collapse columns mechanical model in water inrush mode was derived by using complex function,elastic-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 in radial and ring directions of thick-walled elliptical cylinder when the elliptical cross section collapse column under uniform hydrostatic pressure,the maximum stress value is got at the intersection of inside wall of thick-walled elliptical cylinder and the long oval axle,while the minimum of stress value is got at the minor axis of the cylinder.