整体抽油杆柱在油管内空间屈曲的多段式仿真模型对比  

Comparison of multistage simulation models of entire sucker rod with spatial buckling in tubing

作　　者：孙秀荣 董世民[1] 王宏博[1] 李伟成[1] 孙亮[1] SUN Xiu-rong;DONG Shi-min;WANG Hong-bo;LI Wei-cheng;SUN Liang(School of Mechanical Engineering,Yanshan University,Qinhuangdao 066004,Chin)

机构地区：[1]燕山大学机械工程学院,河北秦皇岛066004

出　　处：《吉林大学学报（工学版）》2018年第4期1124-1132,共9页Journal of Jilin University:Engineering and Technology Edition

基　　金：河北省自然科学基金项目(E201703101);国家自然科学基金项目(51174175)

摘　　要：针对直井抽油机井杆管偏磨进行分析,将整体抽油杆柱在油管内的空间屈曲模型分为三段式、四段式和五段式,并分别建立了每种模型下每段的数学微分方程,给出连接点处的位移、转角、弯矩、切向剪力的连续性条件。基于数值积分法对每段的方程进行求解,并将数学模型最终转化为非线性代数方程组的数值仿真模型,实现了对整体抽油杆柱屈曲构型的数值仿真。仿真结果表明:当工程实际中杆柱泵端载荷远远超过空间屈曲临界载荷时,五段式建立整体杆柱空间屈曲模型比三段式和四段式更为合理;三段式和四段式屈曲模型在螺旋段接触力、螺旋段长度、悬臂段的位置与五段式都有一定差距;先前的研究中将螺旋段方程进行降阶简化,与本文的完整螺旋段屈曲方程求解相比,模型简化得到的螺旋段分布接触力和螺旋段的长度结果相差较大。不同的分段方式,杆管偏磨的位置、接触压力就不同,本文仿真方法为深入研究杆管偏磨和杆柱寿命预测奠定了理论基础。The spatial buckling of sucker rod in tubing is important basis to analyze rod and tubing wear in vertical pumping well.In this paper,first,the spatial buckling model of entire sucker rod is divided into three-section model,four-section model and five-section model.Then the differential equations of each section of each model are established,and the continuity conditions of the displacement,rotation angle,bending moment and the tangential shear at the connecting points are derived respectively.Finally,numerical integration method is used to solve the equations,in which the differential equations are transferred into nonlinear algebraic equations,thus,the numerical simulation of the entire bucking configuration of sucker rod string is realized.The simulation results show that,when the bump end load of the rod is much higher than the spatial buckling critical load,the five-sectionmodel is more reasonable than the three-and four-section models.The contact force,helix angle of the helical section,the length of the helical section and bottom suspend section of three-and foursection models have certain gaps with five-section model.The results errors of the distribution contact force and the length of the helical section obtained by simplified reduced order equations in previous studies are larger compared with the solution of the complete helical buckling section equation.The wear position and contact pressure are different with different subsection methods.The simulation method may provide reference for further study of rod and tubing wear and prediction of rod life.

关 键 词：机械设计 抽油杆柱 空间屈曲 五段式 边界约束 数值积分 

分 类 号：TB121[理学—工程力学] TE355.5[理学—力学]