Open AccessFlexural buckling of a revolving bar in a rigid pipe with a gap exposed to axial force and dead weight
Author(s) -
Batyr Yazyev,
Poļina Ivanova,
Yu Konoplev,
Batyr Yazyev
Publication year - 2020
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/913/2/022021
Subject(s) - deflection (physics) , bar (unit) , buckling , structural engineering , critical load , euler's formula , centrifugal force , structural load , flexural rigidity , bending moment , mechanics , engineering , mathematics , physics , mathematical analysis , classical mechanics , flow (mathematics) , meteorology
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.