Details
| Original language | English |
|---|---|
| Article number | 106211 |
| Journal | Thin-walled structures |
| Volume | 143 |
| Early online date | 26 Jun 2019 |
| Publication status | Published - Oct 2019 |
Abstract
The present work discusses the development of a formulation for efficiently analyzing variable-stiffness plates operating in the post-buckling regime. The approach relies upon the combined use of a single-mode Koiter's perturbation strategy along with a mixed variational formulation expressed in terms of Airy stress function and out-of-plane displacement, where the unknowns are approximated using global trial functions based on Legendre polynomials. A highly efficient numerical tool is achieved, which allows the initial post-buckling field to be analyzed with the ease of closed-form solutions, but a much wider field of employ in terms of elastic couplings, boundary and loading conditions. The quality of the predictions is illustrated by means of a comprehensive set of comparisons against results from the literature. Possible applications of the approach are shown, where the exploration of the design space offered by curvilinear fibers requires thousands of non-linear post-buckling analyses to be run.
Keywords
- Perturbation approach, Post-buckling, Reduced-order models, Variable-stiffness
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Engineering(all)
- Building and Construction
- Engineering(all)
- Mechanical Engineering
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In: Thin-walled structures, Vol. 143, 106211, 10.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Efficient post-buckling analysis of variable-stiffness plates using a perturbation approach
AU - Vescovini, R.
AU - Spigarolo, E.
AU - Jansen, Eelco Luc
AU - Dozio, L.
N1 - Funding information: Part of the work presented in this paper has been done during the research stay of the second author (Enrico Spigarolo) at Leibniz University Hannover, the institute of Prof. Rolfes, Institute of Structural Analysis.
PY - 2019/10
Y1 - 2019/10
N2 - The present work discusses the development of a formulation for efficiently analyzing variable-stiffness plates operating in the post-buckling regime. The approach relies upon the combined use of a single-mode Koiter's perturbation strategy along with a mixed variational formulation expressed in terms of Airy stress function and out-of-plane displacement, where the unknowns are approximated using global trial functions based on Legendre polynomials. A highly efficient numerical tool is achieved, which allows the initial post-buckling field to be analyzed with the ease of closed-form solutions, but a much wider field of employ in terms of elastic couplings, boundary and loading conditions. The quality of the predictions is illustrated by means of a comprehensive set of comparisons against results from the literature. Possible applications of the approach are shown, where the exploration of the design space offered by curvilinear fibers requires thousands of non-linear post-buckling analyses to be run.
AB - The present work discusses the development of a formulation for efficiently analyzing variable-stiffness plates operating in the post-buckling regime. The approach relies upon the combined use of a single-mode Koiter's perturbation strategy along with a mixed variational formulation expressed in terms of Airy stress function and out-of-plane displacement, where the unknowns are approximated using global trial functions based on Legendre polynomials. A highly efficient numerical tool is achieved, which allows the initial post-buckling field to be analyzed with the ease of closed-form solutions, but a much wider field of employ in terms of elastic couplings, boundary and loading conditions. The quality of the predictions is illustrated by means of a comprehensive set of comparisons against results from the literature. Possible applications of the approach are shown, where the exploration of the design space offered by curvilinear fibers requires thousands of non-linear post-buckling analyses to be run.
KW - Perturbation approach
KW - Post-buckling
KW - Reduced-order models
KW - Variable-stiffness
UR - http://www.scopus.com/inward/record.url?scp=85067814867&partnerID=8YFLogxK
U2 - 10.1016/j.tws.2019.106211
DO - 10.1016/j.tws.2019.106211
M3 - Article
AN - SCOPUS:85067814867
VL - 143
JO - Thin-walled structures
JF - Thin-walled structures
SN - 0263-8231
M1 - 106211
ER -