轴向均布载荷和约束对石油钻采管柱失稳长度的影响  

The Effect of Axial Uniform Load and Constraint on Buckling Length of Petroleum Drilling & Production Pipe String

作　　者：张强[1] 刘昱良[1] 许杰 高磊[1] 安超[1] 

机构地区：[1]东北石油大学机械科学与工程学院,黑龙江大庆163318 [2]中海石油(中国)有限公司天津分公司,天津300452

出　　处：《数学的实践与认识》2016年第9期135-142,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11502051);黑龙江省自然科学基金(QC2013C004);黑龙江省教育厅科学技术研究项目(12531055);东北石油大学青年科学基金(NEPUQN2014-16)

摘　　要：以石油行业中的直井管柱为研究对象,建立了管柱在轴向均布载荷作用下的屈曲力学模型,概括了三种轴向均布载荷的分布特征.采用特征值屈曲有限元法,提出了分段计算管柱失稳长度的迭代流程.在正反三角形分布载荷作用下,其失稳长度小于三角形分布载荷作用下的失稳长度,前者的最大挠度靠近中和点;在梯形分布载荷作用下,给出了失稳长度随该段及其以上受压段的无量纲曲线.不同的位移约束条件也对管柱失稳长度有较大影响,工程应用中应区分不同的约束条件,方可得出实际的失稳长度.Select pipe string of petroleum industry in vertical well as the research object.The buckling mechanics model of pipe string with axial uniform load was built and three distribution characteristics of axial uniform load ware summarized.With the eigenvalue bucking finite element method,the iterative process of segmentation calculation of buckling length was proposed.The buckling length with positive and negative triangle distributed load is less than the one with triangle distributed load,the maximum deflection with triangle distributed load is close to the neutral point of pipe string.With trapezoidal distributed load,dimensionless curve of the buckling length vs.compression length above the segmentation was given.Different displacement constraint conditions also have larger influence on buckling length.Different constraint conditions should be compartmentalized to get the actual buckling length in engineering application.

关 键 词：管柱 轴向均布载荷 稳定性 特征值屈曲 失稳长度 

分 类 号：TE931.2[石油与天然气工程—石油机械设备] TE92