This article is cited in 2 papers

Buckling analysis of an elastic bar using the Bubnov–Galerkin method

N. S. Astapov<sup>ab

a</sup> Lavrent’ev Institute of Hydrodynamics, Siberian Division, Russian Academy of Sciences, Novosibirsk, 630090
^b Novosibirsk State University, Novosibirsk, 630090

Abstract: The factors responsible for the errors often encountered in the stability analysis of elastic systems are found by testing the Bubnov–Galerkin method for the buckling problem of a single-layer flexible elastic bar. Refined formulas are obtained for the maximum deflection of a longitudinally compressed hinged three-layer bar.

Keywords: Bubnov–Galerkin method, elastic bar, buckling, buckling shapes, maximum deflection.

UDC: 539.3

Received: 14.12.2005
Accepted: 29.01.2007

 English version: Journal of Applied Mechanics and Technical Physics, 2008, 49:1, 122–128

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