摘要
水平井眼中钻柱的螺旋屈曲问题是一个非线性多解问题,现有的螺旋屈曲近似解和解析解之间差异较大。对各种解进行分析,发现有些近似解不满足事先做出的假设,现有的解析解也存在一些局限性。基于小参数摄动法,求解了在给定边界条件下的此问题的近似解,并应用符号运算软件Maple11对有实验数据的例子进行了求解。对比发现,本文中给出的临界载荷与实验数据吻合较好。
The helical buckling of tubing in horizontal wells is a non-linear problem with multiple solutions.The existing approximate and analytical solutions to this problem exhibit large discrepancy each other.In this paper,a comparison study on the existing solutions is performed.It is found that some approximate solutions violate the pre-assumed condition and existing analytic solutions also have some limitations.An approximate solution to this problem with given boundary condition is obtained by using the perturbation method.An example with known experimental data is analyzed with the help of the symbolic computational software Maple 11.It is found that the present solution was in a well agreement with the experimental data.
出处
《机械科学与技术》
CSCD
北大核心
2011年第11期1927-1929,1933,共4页
Mechanical Science and Technology for Aerospace Engineering
基金
国家自然科学基金项目(10972105)资助
关键词
水平井眼
钻柱螺旋屈曲
摄动法
边界条件
horizontal wells
tubing helical buckling
perturbation method
boundary conditions
