直井抽油杆柱在屈曲位移激励下横向振动的仿真研究

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[24] 王海波， 陈伯望， 余志武. 结构动力方程Newmark-β方法递推简化分析 [J]. 四川大学学报（工程科学版）， 2008， 40（3）： 47—52.

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Abstract： Considering the limitations of the static buckling theory on the eccentric wear between the sucker rod and the tube， a dynamic analysis method for the study of the transverse vibration of the sucker rod in the tube is proposed. Taking the axial distributed load and the dynamic load at the pump head， the dynamic model of the transverse vibration is established based on the buckling configuration of the rod string which is regarded as the deformation excitation during the down stroke. To solve the equation， the finite difference method is used to discretize the well depth and the Newmark method is used to discretize the time. Meanwhile， a restitution coefficient is introduced to build the collision condition， and the impact momentum is measured and taken as the collision strength. The result shows that the phenomenon of rod-tubing collision occurs mainly in the down stroke after the post buckling of the rod string， and the collision force， which distributed almost along the entire well depth， will increase gradually from the wellhead to the bottom. It also shows that the high frequency collision occurs below the neutral point where the collision force takes the largest value. Furthermore， the collision frequency and the collision force decrease successively along the direction from the neutral point to the wellhead. On the other hand during the up stroke， few collisions occur and the collision force is also very small. The simulation model is suitable for the eccentric wear analysis of rod-tubing and provides a new theoretical basis for the optimal allocation of the centralizer.

Key words： transverse vibration； sucker rod string； bucking deformation excitation； collision； simulation model

作者簡介： 孙秀荣（1984-），女，博士研究生。电话：13513343996；E-mail： sunxiurong84@163.com

通讯作者： 董世民（1962-），男，博士生导师，教授。电话：13833575208；E-mail： ysudshm@163.com