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细杆空间大挠度问题的基本方程及其在钻井工程中的应用

蔡宗熙

蔡宗熙. 细杆空间大挠度问题的基本方程及其在钻井工程中的应用[J]. 应用数学和力学, 1993, 14(12): 1049-1056.
引用本文: 蔡宗熙. 细杆空间大挠度问题的基本方程及其在钻井工程中的应用[J]. 应用数学和力学, 1993, 14(12): 1049-1056.
Cai Zong-xi. Fundamental Equations of Large Spatial Deflection Problems of Rods and Its Application to Drilling Engineering[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1049-1056.
Citation: Cai Zong-xi. Fundamental Equations of Large Spatial Deflection Problems of Rods and Its Application to Drilling Engineering[J]. Applied Mathematics and Mechanics, 1993, 14(12): 1049-1056.

细杆空间大挠度问题的基本方程及其在钻井工程中的应用

Fundamental Equations of Large Spatial Deflection Problems of Rods and Its Application to Drilling Engineering

  • 摘要: 考虑挠度相当于横截面尺寸几倍的情况,使用拖带坐标系导出了分析细长直杆大挠度问题的基本方程.针对石油钻井的实际情况,简单叙述了一种分析底部钻具组合三维静力问题的有效方法.指出了文献[8]中的错误.
  • [1] Naghdi,P.M.and M.B.Rubin,On the significance of normal cross-sectional extension in beam theory with application to contact problems,Int.J.Solids Structures,25,3(1989).
    [2] Saje,M.,A variational principle for finite planar deformation of straight slender elastic beams,Int.J.Solids Structures,26,8(1990).
    [3] Iwakuma,T.,Timoshenko beam theory with extension effect and its stiffness equation for finite rotation,Comput.Struct.,34,2(1990).
    [4] Cardona,A.,Beam finite element nonlinear theory with finite rotations,Int.J.Numer.Methods Eng.,26,11(1988).
    [5] Argyris,J.H.,P.C.Dunne and D.W.Scharpf,On large displacement small strain analysis of structures with rotational degrees of freedom,Computer Methods in Applied Mechanics and Engineering,14(1978).
    [6] Bathe,K.J.and S.Bolourch,Large displacement analysis of three-dimensional beam structures,Int.J.Numerical Methods in Engineering,14(1979).
    [7] Bathe,K.J.and S.Mijailovich,Finite element analysis of frictional contact problems,J.Theoretical and Applied Mechanics,17(1988).
    [8] Walker,B.H.and M.B.Friedman,Three-dimensional force and deflection analysis of a variable cross section drill-string.J.Pressure Vessel Technology,99,2(1977).
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出版历程
  • 收稿日期:  1992-07-13
  • 刊出日期:  1993-12-15

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