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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

In this paper, the stability analysis of the elastic columns subjected to seven different types of the nonconservative force is investigated on the basis of fully intrinsic beam equations. The generalized differential quadrature method is used for the discretization of the first-order intrinsic equa...

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Published in: AIAA Journal
ISSN: 0001-1452 1533-385X
Published: American Institute of Aeronautics and Astronautics (AIAA) 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa53416
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Abstract: In this paper, the stability analysis of the elastic columns subjected to seven different types of the nonconservative force is investigated on the basis of fully intrinsic beam equations. The generalized differential quadrature method is used for the discretization of the first-order intrinsic equations and corresponding boundary conditions. Altogether, four important boundary conditions—simply supported, clamped-simply supported, clamped-free, and clamped-clamped conditions—are considered. Furthermore, the effect of the combined action of an end-concentrated force and a distributed tangential follower force is investigated. To confirm the validity of the proposed intrinsic formulations, the present results are compared with those obtained from classical formulations. Our results reveal that the fully intrinsic formulation is a suitable framework to model nonconservative problems.
Issue: 10
Start Page: 4269
End Page: 4277