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Nonconservative Stability Analysis of Columns with Various Loads and Boundary Conditions

S. Ahmad Fazelzadeh, Mohammad Tashakorian, Esmaeal Ghavanloo, Michael Friswell, Mohammadreza Amoozgar

AIAA Journal, Volume: 57, Issue: 10, Pages: 4269 - 4277

Swansea University Author: Michael Friswell

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DOI (Published version): 10.2514/1.j057501

Abstract

Fully intrinsic equations are used to obtain a model compliant with Euler-Bernoulli assumptions for a beam under a linearly distributed follower force known as a Hauger column. The advantage of the intrinsic formulation in modeling problems with non-conservative forces is discussed here. Only intrin...

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Published in: AIAA Journal
ISBN: 978-988-14048-9-3
ISSN: 0001-1452 1533-385X
Published: London, UK American Institute of Aeronautics and Astronautics (AIAA) 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa50543
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Abstract: Fully intrinsic equations are used to obtain a model compliant with Euler-Bernoulli assumptions for a beam under a linearly distributed follower force known as a Hauger column. The advantage of the intrinsic formulation in modeling problems with non-conservative forces is discussed here. Only intrinsic parameters which are independent of the choice of coordinate system has been used and four different boundary conditions were implemented. Also, a comparison between the present study and similar studies with the classical formulation has been developed. The Generalized Differential Quadrature Method is used to numerically analyze the critical load of the beam. It is well understood that there is a remarkable advantage in terms of convergence using intrinsic equations in comparison with the classical formulation.
College: Faculty of Science and Engineering
Issue: 10
Start Page: 4269
End Page: 4277