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For the full buckling section, the tubular string buckles into a sinusoidal or helical configuration.
In Mitchell's analysis, the suspended section is described by the beam-column solutions and the full buckling section is expressed as a helix.
The end of the perturbed buckling section is defined where the angular displacement change rate is 0.999 of that in the full buckling section.
The perturbed buckling section, on which the tubular string is in continuous contact with the wellbore, is seen as the transition from no contact to full buckling section.
On the basis of Mitchell's work, Liu et al. (1999) considered that the perturbed buckling section which connects the suspended section and the full buckling section cannot be ignored.
For a long pinned pinned or clamped clamped tubular string, the buckling configuration is divided into two parts: the transition section adjacent to the boundary condition and the full buckling section in the middle shown in Fig. 3 (Huang et al. 2015b).
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It is shown that the boundary condition can also affect the full helical buckling section of a long tubular string under the second category case.
The modes include local web and flange buckling, section distortional buckling and section twisting.
In Liu's analysis, the perturbed buckling section is depicted described by the buckling differential equation, and the results show that the angular displacement rate decreases in an exponential manner in the perturbed buckling section.
The Pfeiffer Canyon Bridge north of Big Sur is seen with a buckling section.
Full sections, partial sections, offset sections as well as revolved sections can be handled by our method.
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