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油管的螺旋屈曲对封隔器有严重的影响。本文将管柱分为在封隔器附近的空间梁柱段和与约束管壁连续接触的屈曲构形段,通过、分析求解管柱屈曲后所满足的四阶强非线性常微分方程,考虑管柱的固支端部边界条件和连续条件,得到了屈曲管柱变形的解析解。进而得到了管柱在封隔器附近的内力等。所得解析结果与Sorenson的数值结果一致。
Spiral buckling of the tubing has a serious impact on the packer. In this paper, the pipe string is divided into the space beam column section near the packer and the buckling section which is in continuous contact with the confined pipe wall. By solving the fourth-order strong nonlinear ordinary differential equation satisfied by the buckling of the pipe string, The analytical solution of the buckling string deformation is obtained by the boundary condition and the continuous condition of the ends of the column. And then get the column in packer near the internal force and so on. The analytical results obtained are consistent with the numerical results of Sorenson.