摘要
为了保证能量泛函驻立值与平衡微分方程本征值间的一致性,基于平衡微分方程及自然边界条件,构建了受径向约束杆柱的DQ(Differential Quadrature)单元。对于受圆形管柱约束的一段杆柱,分析了九种不同端部约束条件下的正弦屈曲载荷,与现有文献中的解析解和实验结果比较表明,该文的模型及分析方法是合理的。对斜直井内的一段钻柱,通过数值分析,考察了井斜角和端部约束等因素对钻柱正弦屈曲的影响。同时,与有限元结果比较证实,分析斜直井内钻柱屈曲的DQ单元精度高,可靠性强。给出了一些有工程参考意义的结论。
To ensure the consistency of the minimum of energy functional with its corresponding equilibrium equation eigenvalue,differential quadrature（DQ） element is established based on the equilibrium equation and natural boundary conditions of a column subjected to radial constraint.Sinusoidal buckling loads of a column segment constrained in a circular tube are analyzed under nine different end constraints.A comparison with the theoretical solution and the experimental data demonstrates the rationality of the proposed model and method.The sinusoidal buckling load of a segment of drillstring constrained in an inclined wellbore is analyzed by using the DQ element method.The effects of oblique angles of wellbores and end constraints on the buckling loads are investigated.The numerical results are compared with those of finite element method,demonstrating that the DQ element method has advantages of higher accuracy and strong reliability.Some references for engineering practice are given.
出处
《工程力学》
EI
CSCD
北大核心
2010年第12期219-223,共5页
Engineering Mechanics
基金
江苏大学高级专业人才科研启动基金项目(06JDG079)
关键词
屈曲
DQ单元法
数值分析
约束
钻柱
buckling
DQ element method
numerical analysis
constraints
drillstrings
