Nonconservative Stability Analysis of Columns with Various Loads and Boundary Conditions

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

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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.
Original languageEnglish
Number of pages9
JournalAIAA Journal
Volume57
Issue number10
Early online date29 Jan 2019
DOIs
Publication statusPublished - 1 Oct 2019
Externally publishedYes

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Fazelzadeh, S. Ahmad ; Tashakorian, Mohammad ; Ghavanloo, Esmaeal ; Friswell, Michael I. ; Amoozgar, Mohammadreza. / Nonconservative Stability Analysis of Columns with Various Loads and Boundary Conditions. In: AIAA Journal. 2019 ; Vol. 57, No. 10.
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Nonconservative Stability Analysis of Columns with Various Loads and Boundary Conditions. / Fazelzadeh, S. Ahmad; Tashakorian, Mohammad; Ghavanloo, Esmaeal; Friswell, Michael I.; Amoozgar, Mohammadreza.

In: AIAA Journal, Vol. 57, No. 10, 01.10.2019.

Research output: Contribution to journalArticle

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AU - Amoozgar, Mohammadreza

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AB - 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.

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