Lateral buckling of drill strings revisited: localised “snaking”

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Abstract

The classical lateral buckling of a straight drill string confined within an inclined cylindrical borehole is formulated as a singularly perturbed boundary-value problem which is subsequently explored using asymptotic techniques. In particular, the localised nature of the critical eigenmodes is discussed with the help of a special multiple-scale technique that yields simple and accurate approximations for the corresponding critical loads. The asymptotic formulae obtained capture the dependence of these loads on the magnitude of the frictional forces as well as the inclination angle of the confining borehole.

Original languageEnglish
Pages (from-to)2491-2506
Number of pages16
JournalMathematics and Mechanics of Solids
Volume28
Issue number11
Early online date11 May 2023
DOIs
Publication statusPublished - 1 Nov 2023

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