A fuzzy finite element approach for the analysis of fiber-reinforced laminated composite beams

Singiresu S Rao, Qing Liu

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

The modeling, analysis and design of large and complex composite structures involve the use of the finite element approach. In most practical applications the structural and material parameters vary considerably and are subject to uncertainties, mainly due to the uncontrollable aspects associated with the manufacturing and assembly of composite materials. In many cases, the probabilistic methods cannot be applied since the probability distributions of the uncertain parameters are not usually known. Also, in some situations, the parameters are known only in linguistic form. In this work, the uncertainties encountered in composite structures, which may be described in linguistic terms or in imprecise form, are modeled as fuzzy parameters. A fuzzy finite element analysis technique is developed for the analysis of laminated beams, involving fuzziness, possibly in the boundary conditions as well. The fuzzy beam element can undergo axial, bending, and transverse shear deformations. Using the basic concepts of the deterministic finite element theory, as well as fuzzy computations and fuzzy matrix operations, a fuzzy beam element is developed. The fuzzy beam element is used for the static and eigenvalue analysis of beams involving imprecise data and/or information. A numerical example is presented to demonstrate the feasibility and applicability of the methodology presented. All rights reserved.

Original languageEnglish (US)
Title of host publicationCollection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference
Pages5007-5016
Number of pages10
Volume7
StatePublished - 2004
EventCollect. of Pap. - 45th AIAA/ASME/ASCE/AHS/ASC Struct., Struct. Dyn. and Mater. Conf.; 12th AIAA/ASME/AHS Adapt. Struct. Conf.; 6th AIAA Non-Deterministic Approaches Forum; 5th AIAA Gossamer Spacecraft Forum - Palm Springs, CA, United States
Duration: Apr 19 2004Apr 22 2004

Other

OtherCollect. of Pap. - 45th AIAA/ASME/ASCE/AHS/ASC Struct., Struct. Dyn. and Mater. Conf.; 12th AIAA/ASME/AHS Adapt. Struct. Conf.; 6th AIAA Non-Deterministic Approaches Forum; 5th AIAA Gossamer Spacecraft Forum
CountryUnited States
CityPalm Springs, CA
Period4/19/044/22/04

Fingerprint

Laminated composites
Composite structures
Linguistics
Fibers
Shear deformation
Probability distributions
Boundary conditions
Finite element method
Composite materials
Uncertainty

ASJC Scopus subject areas

  • Architecture

Cite this

Rao, S. S., & Liu, Q. (2004). A fuzzy finite element approach for the analysis of fiber-reinforced laminated composite beams. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference (Vol. 7, pp. 5007-5016)

A fuzzy finite element approach for the analysis of fiber-reinforced laminated composite beams. / Rao, Singiresu S; Liu, Qing.

Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 7 2004. p. 5007-5016.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rao, SS & Liu, Q 2004, A fuzzy finite element approach for the analysis of fiber-reinforced laminated composite beams. in Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. vol. 7, pp. 5007-5016, Collect. of Pap. - 45th AIAA/ASME/ASCE/AHS/ASC Struct., Struct. Dyn. and Mater. Conf.; 12th AIAA/ASME/AHS Adapt. Struct. Conf.; 6th AIAA Non-Deterministic Approaches Forum; 5th AIAA Gossamer Spacecraft Forum, Palm Springs, CA, United States, 4/19/04.
Rao SS, Liu Q. A fuzzy finite element approach for the analysis of fiber-reinforced laminated composite beams. In Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 7. 2004. p. 5007-5016
Rao, Singiresu S ; Liu, Qing. / A fuzzy finite element approach for the analysis of fiber-reinforced laminated composite beams. Collection of Technical Papers - AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference. Vol. 7 2004. pp. 5007-5016
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