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Postbuckling of composite airframe structures: closed-form approximate solutions

Mittelstedt, C. and Schröder, K.-U. (2010):
Postbuckling of composite airframe structures: closed-form approximate solutions.
In: PAMM — Proceedings in Applied Mathematics and Mechanics, Wiley, pp. 193-194, 10, ISSN 1617-7061,
DOI: 10.1002/pamm.201010089,
[Article]

Abstract

In this contribution, the postbuckling behaviour of imperfect rectangular composite plates under compression is treated in a closed‐form analytical manner. Based on rather simple shape functions for the postbuckling deflections and the plate imperfections, the requirement for compatibility of the membrane strains leads to an explicit solution for Airy's stress function. The equilibrium condition in the out‐of‐plane direction is not fulfilled explicitly, but rather in an integral sense using a Galerkin‐type formulation, leading to an approximate closed‐form solution for the postbuckling deflections. Eventually, rather simple closed‐form approximate solutions for all postbuckling state‐variables can be derived that can be used conveniently in engineering practice. The quality of the closed‐form solution is established by comparison with the results of other authors.

Item Type: Article
Erschienen: 2010
Creators: Mittelstedt, C. and Schröder, K.-U.
Title: Postbuckling of composite airframe structures: closed-form approximate solutions
Language: English
Abstract:

In this contribution, the postbuckling behaviour of imperfect rectangular composite plates under compression is treated in a closed‐form analytical manner. Based on rather simple shape functions for the postbuckling deflections and the plate imperfections, the requirement for compatibility of the membrane strains leads to an explicit solution for Airy's stress function. The equilibrium condition in the out‐of‐plane direction is not fulfilled explicitly, but rather in an integral sense using a Galerkin‐type formulation, leading to an approximate closed‐form solution for the postbuckling deflections. Eventually, rather simple closed‐form approximate solutions for all postbuckling state‐variables can be derived that can be used conveniently in engineering practice. The quality of the closed‐form solution is established by comparison with the results of other authors.

Journal or Publication Title: PAMM — Proceedings in Applied Mathematics and Mechanics
Volume: 10
Place of Publication: Weinheim
Publisher: Wiley
Divisions: 16 Department of Mechanical Engineering
16 Department of Mechanical Engineering > Institute for Lightweight Construction and Design (KluB)
Event Title: PAMM — Proceedings in Applied Mathematics and Mechanics
Event Location: Weinheim
Date Deposited: 11 Jul 2019 09:42
DOI: 10.1002/pamm.201010089
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