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Uncertainty quantification of dynamic characteristics of composites-A fuzzy approach

Uncertainty quantification of dynamic characteristics of composites-A fuzzy approach
Uncertainty quantification of dynamic characteristics of composites-A fuzzy approach

The quantification of uncertainty in composite structures has intuitively significant threat to ensure structural reliability. Due to inherent complexities, composite structures are difficult to manufacture accurately according to its exact design specifications resulting in unavoidable uncertainties. Typical uncertainties are inadvertently induced due to intralaminate voids, incomplete curing of resin, excess resin between plies, excess matrix voids, porosity, variations in material properties and fibre parameters. In general, random field models are extensively used to represent a spatially varying function. Different probabilistic approaches (Monte Carlo simulation, perturbation methods, random matrix, and generalized polynomial chaos with Karhunen-Loève expansion) are employed for composites. In a probabilistic setting, uncertainty associated with the system parameters can be modelled as random variables or stochastic processes using the so-called parametric approach. But in real-life situation due to the availability of limited sample data (crisp inputs), it will be more practical or realistic to follow non-probabilistic approach rather than probabilistic approach. In the present study, fuzzy approach is introduced to carry out the uncertainty propagation in natural frequencies of laminated composite plates using Gram-Schmidt Polynomial Chaos (PC). The proposed PC fuzzy model is integrated with finite element to predict the possible two extreme bound of responses for different degree of fuzziness. The fuzzy variable is represented as a set of interval variables via membership function. The most significant input parameters are identified and then fuzzified. Fuzzy analysis of the first three natural frequencies for typical laminate configuration is presented to illustrate the results and its performance.

Composite, Fuzzy, Natural frequency, Uncertainty quantification
569-575
Dey, S.
b8aa7ed6-74de-49df-b420-e414bb6fbca2
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Khodaparast, H. H.
dee3fcb4-accc-4bc0-944f-7c773efe616b
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626
Dey, S.
b8aa7ed6-74de-49df-b420-e414bb6fbca2
Mukhopadhyay, T.
2ae18ab0-7477-40ac-ae22-76face7be475
Khodaparast, H. H.
dee3fcb4-accc-4bc0-944f-7c773efe616b
Adhikari, S.
82960baf-916c-496e-aa85-fc7de09a1626

Dey, S., Mukhopadhyay, T., Khodaparast, H. H. and Adhikari, S. (2015) Uncertainty quantification of dynamic characteristics of composites-A fuzzy approach. 1st ECCOMAS Thematic Conference on Uncertainty Quantification in Computational Sciences and Engineering, UNCECOMP 2015, , Hersonissos, Crete, United Kingdom. 25 - 27 May 2015. pp. 569-575 . (doi:10.7712/120215.4293.651).

Record type: Conference or Workshop Item (Paper)

Abstract

The quantification of uncertainty in composite structures has intuitively significant threat to ensure structural reliability. Due to inherent complexities, composite structures are difficult to manufacture accurately according to its exact design specifications resulting in unavoidable uncertainties. Typical uncertainties are inadvertently induced due to intralaminate voids, incomplete curing of resin, excess resin between plies, excess matrix voids, porosity, variations in material properties and fibre parameters. In general, random field models are extensively used to represent a spatially varying function. Different probabilistic approaches (Monte Carlo simulation, perturbation methods, random matrix, and generalized polynomial chaos with Karhunen-Loève expansion) are employed for composites. In a probabilistic setting, uncertainty associated with the system parameters can be modelled as random variables or stochastic processes using the so-called parametric approach. But in real-life situation due to the availability of limited sample data (crisp inputs), it will be more practical or realistic to follow non-probabilistic approach rather than probabilistic approach. In the present study, fuzzy approach is introduced to carry out the uncertainty propagation in natural frequencies of laminated composite plates using Gram-Schmidt Polynomial Chaos (PC). The proposed PC fuzzy model is integrated with finite element to predict the possible two extreme bound of responses for different degree of fuzziness. The fuzzy variable is represented as a set of interval variables via membership function. The most significant input parameters are identified and then fuzzified. Fuzzy analysis of the first three natural frequencies for typical laminate configuration is presented to illustrate the results and its performance.

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More information

Published date: 2015
Venue - Dates: 1st ECCOMAS Thematic Conference on Uncertainty Quantification in Computational Sciences and Engineering, UNCECOMP 2015, , Hersonissos, Crete, United Kingdom, 2015-05-25 - 2015-05-27
Keywords: Composite, Fuzzy, Natural frequency, Uncertainty quantification

Identifiers

Local EPrints ID: 483528
URI: http://eprints.soton.ac.uk/id/eprint/483528
PURE UUID: 8431557e-c017-4d70-866b-16749ac2be6a

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Date deposited: 01 Nov 2023 17:51
Last modified: 18 Mar 2024 04:10

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Contributors

Author: S. Dey
Author: T. Mukhopadhyay
Author: H. H. Khodaparast
Author: S. Adhikari

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