Jacquelin, E., Friswell, M. I., Adhikari, S. , Dessombz, O. and Sinou, J. -J. (2016) Polynomial chaos expansion with random and fuzzy variables. Mechanical Systems and Signal Processing, 75, pp. 41-56. (doi: 10.1016/j.ymssp.2015.12.001)
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Abstract
A dynamical uncertain system is studied in this paper. Two kinds of uncertainties are addressed, where the uncertain parameters are described through random variables and/or fuzzy variables. A general framework is proposed to deal with both kinds of uncertainty using a polynomial chaos expansion (PCE). It is shown that fuzzy variables may be expanded in terms of polynomial chaos when Legendre polynomials are used. The components of the PCE are a solution of an equation that does not depend on the nature of uncertainty. Once this equation is solved, the post-processing of the data gives the moments of the random response when the uncertainties are random or gives the response interval when the variables are fuzzy. With the PCE approach, it is also possible to deal with mixed uncertainty, when some parameters are random and others are fuzzy. The results provide a fuzzy description of the response statistical moments.
| Item Type: | Articles |
|---|---|
| Status: | Published |
| Refereed: | Yes |
| Glasgow Author(s) Enlighten ID: | Adhikari, Professor Sondipon |
| Authors: | Jacquelin, E., Friswell, M. I., Adhikari, S., Dessombz, O., and Sinou, J. -J. |
| College/School: | College of Science and Engineering > School of Engineering > Infrastructure and Environment |
| Journal Name: | Mechanical Systems and Signal Processing |
| Publisher: | Elsevier |
| ISSN: | 0888-3270 |
| ISSN (Online): | 1096-1216 |
| Published Online: | 21 December 2015 |
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