筛管孔眼附近的应力集中问题及孔眼分布  

STRESS CONCENTRATION AROUND THE SERIES HOLES IN SCREEN PIPE STRUCTURE

作　　者：于桂杰[1] 杨宾华[2] 付雷[1] 高存法[2] 

机构地区：[1]中国石油大学(华东)储运与建筑工程学院,山东东营257061 [2]南京航空航天大学航空宇航学院,南京210016

出　　处：《机械强度》2009年第6期957-961,共5页Journal of Mechanical Strength

摘　　要：在石油工程中,筛管是完井和防砂必不可少的设备。就其力学模型而言,筛管中的基管为一含有大量圆孔的圆柱薄壳。由于孔眼附近的应力集中,基管经常在井下被挤毁,造成巨大的经济损失。因此,研究基管孔眼附近的应力集中问题,对于设计筛管孔眼布局结构和提高筛管的强度具有重要的理论和实际意义。文中提出一种分析基管孔眼附近应力集中问题的理论方法,首先将基管展开为含N个圆孔的平面,然后根据孔眼排布的周期性选一胞元(为含有复式孔的多连通区域),再应用数学弹性力学理论分析胞元内的应力,获得孔与孔之间互不影响时的最佳孔间距,最后通过折减系数法获得相应圆柱壳孔眼附近应力集中的近似解。作为考证,应用有限元法计算同样条件下的多孔壳体应力集中问题,所获结果与理论解十分吻合。Essential equipment is screen pipe for well completion and sand control in petrol engineering. In mechanics, the inner pipe of screen pipe can be modeled as a thin cylinder shell with a lot of holes. Due to the stress concentration around the holes, the screen pipe is often destroyed, resulting in a lot of economic loss. So it is of theoretical and practical importance to study the problem of stress concentration around the holes for the optimization of hole array and the improvement of screen pipe strength. A theoretical analysis method was put forward to study the problem of stress concentration around the holes of screen pipe. First the screen pipe was expanded as a plane with N circular holes. Tnen a representative element was chosen according to its periodic positions of holes. The stress fields in the element with multiple holes were obtained based on elastic theory. The hole-to-hole distance is determined, beyond which the interaction between them can be neglected. To check the rightness of these results, finite element method（FEM） is used to calculate the stress concentration in the shell with holes, and it is found that the results based on FEM are well consistent with those from the above analytic method.

关 键 词：筛管 开孔壳体 应力集中 复变函数法 

分 类 号：TE931.2[石油与天然气工程—石油机械设备]