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Postbuckling of Composite Airframe Structures: Closed‐Form Approximate Solutions
Author(s) -
Mittelstedt Christian,
Schröder KaiUwe
Publication year - 2010
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/pamm.201010089
Subject(s) - airy function , composite number , closed form expression , imperfect , galerkin method , compatibility (geochemistry) , airframe , buckling , mathematics , aeroelasticity , simple (philosophy) , structural engineering , stress functions , mathematical analysis , materials science , engineering , mechanics , composite material , physics , boundary value problem , aerodynamics , philosophy , linguistics , epistemology , algorithm , finite element method
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. (© 2010 Wiley‐VCH Verlag GmbH & Co. KGaA, Weinheim)