【作者】 谈梅兰； 甘立飞； 王鑫伟；

【Author】 TAN Mei-lan~1 GAN Li-fei~2 WANG Xin-wei~2 (1.Faculty of Science,Jiangsu University,Zhenjiang 212013,P.R.China; 2.College of Aerospace Engineering,Nanjing University of Aeronautics & Astronautics,Nanjing 210016,P.R.China)

【机构】 江苏大学理学院； 南京航空航天大学航空宇航学院；

【摘要】 借助于圆柱面坐标系,基于最小位能原理,用 Rayleigh-Ritz 法研究了斜直井内钻柱的非线性螺旋屈曲问题。钻柱上端周向自由,下端铰支,得到了确定螺旋屈曲临界载荷的无量纲形式的非线性积分方程。应用符号运算软件 Maple10,对具体的工程算例进行了求解。研究发现,本文的计算结果与已有的实验结果吻合很好,这说明钻柱的螺旋屈曲问题必须用非线性方法计算,本文的研究方法可用于求解斜直井内的钻柱屈曲问题。更多还原

【Abstract】 Based on the principle of minimum potential energy,the helical buckling of a drillstring with its top end free circumferentially and lower end hinged is studied.With the help of the cylindrical coordinate system,using Rayleigh-Ritz method,the non-dimensional nonlinear integral equations are developed for determining the helical buckling loads corresponding to a certain lateral load.Practical examples are analyzed with the help of symbolic computational software Maple 10.It is found that the numerical results agree well with existing experimental data. This indicates that the helical buckling of a drillstring is a nonlinear problem and the established nonlinear analysis method may be used for analyses of drillstrings in an inclined wellbore.更多还原