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The asymptotic-numerical method for the post-buckling response of curvilinearly stiffened panels

Published online by Cambridge University Press:  07 October 2024

P.P. Foligno Open the ORCID record for P.P. Foligno [Opens in a new window] ,
C.A. Yan Open the ORCID record for C.A. Yan [Opens in a new window]  and
R. Vescovini Open the ORCID record for R. Vescovini [Opens in a new window]
P.P. Foligno*
Affiliation:
Politecnico di Milano, Dipartimento di Scienze e Tecnologie Aerospaziali, Milan, Italy
C.A. Yan
Affiliation:
Politecnico di Milano, Dipartimento di Scienze e Tecnologie Aerospaziali, Milan, Italy
R. Vescovini
Affiliation:
Politecnico di Milano, Dipartimento di Scienze e Tecnologie Aerospaziali, Milan, Italy
*
Corresponding author: P.P. Foligno; Email: [email protected]
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Abstract

In the present work, the asymptotic-numerical method is applied in conjunction with the Ritz method as a powerful mean for analysing the post-buckling response of panels with variable stiffness skin and curvilinear stringers. Main advantage of the proposed approach is the reduced computational time. The Ritz method guarantees an excellent ratio between accuracy and required degrees of freedom; the asymptotic-numerical method requires just one matrix inversion throughout the solution process. Moreover, the complete analytical representation of the non-linear equilibrium path is obtained, as opposed to the point-by-point representation of predictor-corrector algorithms. Several test cases are presented and compared with standard Newton-Raphson computations and commercial finite element simulations. The results show noticeable saving of computational time. For the test cases investigated, the asymptotic-numerical method requires about one third of the time required by a standard Newton-Raphson routine. These results demonstrate that the combination between Ritz and the asymptotic-numerical method is an excellent strategy for investigating the post-buckling response of innovative curvilinearly stiffened panels.

Keywords

Asymptotic-numerical methodRitz methodPost-buckling analysisCurvilinear stringersVariable stiffness
Type
Research Article
Information
The Aeronautical Journal , Volume 128 , Issue 1330 , December 2024 , pp. 2879 - 2905
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Copyright
© The Author(s), 2024. Published by Cambridge University Press on behalf of Royal Aeronautical Society

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Footnotes

This paper is a version of a presentation given at the 8th Aircraft Structural Design Conference held in October 2023.

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