Flexural buckling of a revolving bar in a rigid pipe with a gap exposed to axial force and dead weight

Abstract

© Published under licence by IOP Publishing Ltd. The article proposes a solution to the stability problem of a revolving bar loaded with axial force and inserted into a rigid pipe with a gap by the Bubnov-Galerkin method. Two options as the deflection coordinate functions are considered. When calculating, the dead weight of the bar is taken into account. With a total load greater than the Euler load, lateral forces (reactions), touching the pipe wall, appear in the bar. At the end of the article, the formulas for determining the voltage after buckling are presented. The obtained formulas make it possible to determine the critical load of the system for each individual case, taking into account its dead weight and centrifugal forces from the revolving bar. The above-mentioned relations also give an opportunity to determine the reactive moment magnitude from the contact of the revolving bar and the pipe wall.