A Rayleigh-Ritz procedure for localized buckling of a strut on a softening foundation by Hermite functions

Chen, G. ORCID: https://orcid.org/0000-0001-8460-9224 and Baker, Graham (2003) A Rayleigh-Ritz procedure for localized buckling of a strut on a softening foundation by Hermite functions. International Journal of Solids and Structures, 40 (26). pp. 7463-7474. ISSN 0020-7683


Abstract

This paper proposes a Rayleigh–Ritz procedure for localized buckling of a strut on a non-linear elastic foundation.
Firstly, the deflected shape of a strut is expanded into a series of Hermite orthogonal functions, which are proved
energy-integrable in an infinite region. Secondly, the errors of the numerical integrations of Hermite functions on the infinite region are investigated and the suitable integral limit is proposed. Through the numerical investigation, it is demonstrated that the first thirty Hermite functions are usually enough to approximate the localized buckling pattern.
The proposed method overcomes the disadvantages of the traditional methods, in which the trial functions in either
Rayleigh–Ritz or Galerkin analysis are based on the perturbation analyses of the corresponding non-linear differential equation.


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Item Type: Article (Commonwealth Reporting Category C)
Refereed: Yes
Item Status: Live Archive
Additional Information: Awaiting Author's version.
Faculty/School / Institute/Centre: Current - USQ Other
Faculty/School / Institute/Centre: Current - USQ Other
Date Deposited: 29 Oct 2007 07:22
Last Modified: 02 Jul 2013 22:52
Uncontrolled Keywords: localized buckling; non-linear elastic foundation; Hermite functions; Rayleigh–Ritz analysis
Fields of Research (2008): 09 Engineering > 0905 Civil Engineering > 090506 Structural Engineering
Fields of Research (2020): 40 ENGINEERING > 4005 Civil engineering > 400510 Structural engineering
Identification Number or DOI: https://doi.org/10.1016/j.ijsolstr.2003.08.010
URI: http://eprints.usq.edu.au/id/eprint/3452

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