前人曾用能量法分析了管柱在水平井眼中的稳定性问题,建立起管柱的屈曲方程。文中用有限差分法分析了杆管柱在水平井中的屈曲失稳问题,同时考虑了端部约束条件的影响,建立起管柱在水平井中的屈曲微分方程。在两端铰支约束下,用差分进行了求解,计算出杆管柱的临界失稳载荷,并通过实例验算其计算精度。 The predecessors have used the energy method to analyze the stability of the string in the horizontal wellbore, and established the buckling equation of the string. In this paper, the finite element method is used to analyze the buckling instability of the pipe string in horizontal wells. At the same time, the influence of the end constraints is considered and the buckling differential equation of the pipe string in the horizontal well is established. Under the constraints of hinge support at both ends, the difference was used to calculate the critical buckling load of the column. The calculation precision was verified by an example.