Model reduction in thin-walled open-section composite beams using Variational Asymptotic Method. Part II: Applications

This part of the work describes applications of a comprehensive and reliable tool for analysis of thin-walled, open-section composite beams. The developed comprehensive and reliable tool is used for analysis of commonly used cross sections (I-, C-, Z-, and star) of thin-walled open-section composite...

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Bibliographic Details
Published in:Thin-walled structures 2017-08, Vol.117, p.367-377
Main Authors: Harursampath, Dineshkumar, Harish, Ajay B., Hodges, Dewey H.
Format: Article
Language:English
Subjects:
Anisotropic
Asymptotic
Beam
Bending
Cantilever
Composite materials
Contact
Fiber reinforced
Laminated
Open-section
Stochastic
Thin-walled
Trapeze effect
Variational Asymptotic Method
Vlasov effect
Warping
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Summary:This part of the work describes applications of a comprehensive and reliable tool for analysis of thin-walled, open-section composite beams. The developed comprehensive and reliable tool is used for analysis of commonly used cross sections (I-, C-, Z-, and star) of thin-walled open-section composite beams. Usage of VAM renders a rigorous asymptotically correct reduction of the 3-D nonlinear problem to a much simpler 1-D nonlinear problem, with closed-form solutions contributing to rapid yet accurate analysis. This computational efficiency is demonstrated through a Monte-Carlo-type stochastic analysis. •Thin-walled open-section general layup composite beam models are developed.•Analytical closed-form and asymptotically correct expressions are given for 3D fields.•Analytical expressions allow remarkably faster compared to standard 3D FEM solutions.•3D geometric nonlinearity is transformed into 1D physical nonlinearity.•Stochastic solutions for sample space of order of a million is calculated in seconds.
ISSN:0263-8231
1879-3223
DOI:10.1016/j.tws.2017.03.021