Post-buckling analysis of slender elastic vertical rods subjected to terminal forces and self-weight
作者： M.A. Vaz , G.H.W. Mascaro
DOI: 10.1016/J.IJNONLINMEC.2004.12.002
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摘要: Abstract This article presents the behavior of slender elastic rods subjected to axial terminal forces and self-weight. The mathematical formulation is presented, a solution sought for double-hinged boundary condition analysis carried out different values non-dimensional weight. derives from geometrical compatibility, equilibrium moments constitutive relations yielding set six first order non-linear ordinary differential equations with conditions specified at both ends, which characterizes complex two-point value problem. Furthermore, perturbation method used find critical buckling loads initial post-buckling solutions. A numerical integration scheme based on three parameter shooting employed in
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sci-hub.se 参考文章(21)
Tseng Huang, Donald W. Dareing, Buckling and Frequencies of Long Vertical Pipes Journal of Engineering Mechanics-asce. ,vol. 95, pp. 167- 182 ,(1969) , 10.1061/JMCEA3.0001074
Arthur Lubinski, A Study of the Buckling of Rotary Drilling Strings Drilling and Production Practice. ,(1950)
C.Y. Wang, Post-buckling of a clamped-simply supported elastica International Journal of Non-linear Mechanics. ,vol. 32, pp. 1115- 1122 ,(1997) , 10.1016/S0020-7462(96)00125-4
M.A. Vaz, D.F.C. Silva, Post-buckling analysis of slender elastic rods subjected to terminal forces International Journal of Non-linear Mechanics. ,vol. 38, pp. 483- 492 ,(2003) , 10.1016/S0020-7462(01)00072-5
Tseng Huang, Buckling and Lateral Vibration of Drill Pipe Journal of Engineering for Industry. ,vol. 90, pp. 613- 619 ,(1968) , 10.1115/1.3604697
R. Plunkett, Static Bending Stresses in Catenaries and Drill Strings Journal of Engineering for Industry. ,vol. 89, pp. 31- 36 ,(1967) , 10.1115/1.3610004
On the Mechanics of Submerged Vertical Slender Structures Subjected to Varying Axial Tension Philosophical transactions - Royal Society. Mathematical, physical and engineering sciences. ,vol. 354, pp. 609- 648 ,(1996) , 10.1098/RSTA.1996.0021
On the deflected configuration of a slender elastic rod subject to parallel terminal forces and moments Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences. ,vol. 449, pp. 337- 349 ,(1995) , 10.1098/RSPA.1995.0048
M.A. Vaz, M.H. Patel, Analysis of drill strings in vertical and deviated holes using the Galerkin technique Engineering Structures. ,vol. 17, pp. 437- 442 ,(1995) , 10.1016/0141-0296(95)00098-R
Theodore Kokkinis, Michael M. Bernitsas, Effect of fluid static pressure on the immediate postbuckling behavior of heavy tubular columns Applied Ocean Research. ,vol. 9, pp. 141- 149 ,(1987) , 10.1016/0141-1187(87)90018-6