Fuzzy approach for uncertainty analysis of thin walled composite beams

Purpose - The purpose of this paper is to develop an analytical approach to evaluate the influence of material uncertainties on cross-sectional stiffness properties of thin walled composite beams.Design methodology approach - Fuzzy arithmetic operators are used to modify the thin-walled beam formula...

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Bibliographic Details
Published in:Aircraft Engineering and Aerospace Technology 2012-01, Vol.84 (1), p.13-22
Main Authors: Pawar, Prashant M., Nam Jung, Sung, Ronge, Babruvahan P.
Format: Article
Language:English
Subjects:
Beamforming
Boundary conditions
Composite beams
Composite materials
Couplings
Design modifications
Fuzzy
Fuzzy logic
Fuzzy set theory
Fuzzy sets
Material properties
Mathematical analysis
Mathematical models
Mechanics
Multiplication & division
Operators (mathematics)
Probability distribution
Random variables
Stiffness
Stress analysis
Systems stability
Thin walled
Uncertainty
Uncertainty analysis
Wall thickness
Warping
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Summary:Purpose - The purpose of this paper is to develop an analytical approach to evaluate the influence of material uncertainties on cross-sectional stiffness properties of thin walled composite beams.Design methodology approach - Fuzzy arithmetic operators are used to modify the thin-walled beam formulation, which was based on a mixed force and displacement method, and to obtain the uncertainty properties of the beam. The resulting model includes material uncertainties along with the effects of elastic couplings, shell wall thickness, torsion warping and constrained warping. The membership functions of material properties are introduced to model the uncertainties of material properties of composites and are determined based on the stochastic behaviors obtained from experimental studies.Findings - It is observed from the numerical studies that the fuzzy membership function approach results in reliable representation of uncertainty quantification of thin walled composite beams. The propagation of uncertainties is also demonstrated in the estimation of structural responses of composite beams.Originality value - This work demonstrates the use of fuzzy approach to incorporate uncertainties in the responses analytically, in turn improving computational efficiency drastically as compared to the Monte-Carlo method.
ISSN:1748-8842
0002-2667
1758-4213
DOI:10.1108/00022661211194942