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
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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.Abstract: The fundamental equations for analysis of a straight slender rod which deform at large deflections of order of several times of the dimension of the cross section of the rod are derived by using convecled coordinate system. In accordance with the practice of oil drilling, an effective method of three dimensional static analysis of bottom-hole assemblies is simply described. Errors in reference [8] are pointed out.
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Key words:
- bottom-hole assemblies /
- large displacement /
- analytic solution
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[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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