The analyses of dynamic response and reliability of fuzzy-random truss under stationary stochastic excitation

authored by: Juan Ma, Wei Gao, Peter Wriggers, Tao Wu, Shahab Sahraee
Abstract: A new two-factor method based on theprobability and the fuzzy sets theory is used for the analyses of the dynamic response and reliability of fuzzy-random truss systems under the stationary stochastic excitation. Considering the fuzzy-randomness of the structural physical parameters and geometric dimensions simultaneously, the fuzzy-random correlation function matrix of structural displacement response in time domain and the fuzzy-random mean square values of structural dynamic response in frequency domain are developed by using the two-factor method, and the fuzzy numerical characteristics of dynamic responses are then derived. Based on numerical characteristics of structural fuzzy-random dynamic responses, the structural fuzzy-random dynamic reliability and its fuzzy numerical characteristic are obtained from the Poisson equation. The effects of the uncertainty of the structural parameters on structural dynamic response and reliability are illustrated via two engineering examples and some important conclusions are obtained.
Organisation(s): Institute of Continuum Mechanics
External Organisation(s): Xidian University
University of New South Wales (UNSW)
Type: Article
Journal: Computational mechanics
Volume: 45
Pages: 443-455
No. of pages: 13
ISSN: 0178-7675
Publication date: 12.01.2010
Publication status: Published
Peer reviewed: Yes
ASJC Scopus subject areas: Computational Mechanics, Ocean Engineering, Mechanical Engineering, Computational Theory and Mathematics, Computational Mathematics, Applied Mathematics
Electronic version(s): https://doi.org/10.1007/s00466-009-0463-7 (Access: Unknown)
: Details in the research portal "Research@Leibniz University"

BibTeX

@article{73af794552c0476fb83e7db605a60a93,
title = "The analyses of dynamic response and reliability of fuzzy-random truss under stationary stochastic excitation",
abstract = "A new two-factor method based on theprobability and the fuzzy sets theory is used for the analyses of the dynamic response and reliability of fuzzy-random truss systems under the stationary stochastic excitation. Considering the fuzzy-randomness of the structural physical parameters and geometric dimensions simultaneously, the fuzzy-random correlation function matrix of structural displacement response in time domain and the fuzzy-random mean square values of structural dynamic response in frequency domain are developed by using the two-factor method, and the fuzzy numerical characteristics of dynamic responses are then derived. Based on numerical characteristics of structural fuzzy-random dynamic responses, the structural fuzzy-random dynamic reliability and its fuzzy numerical characteristic are obtained from the Poisson equation. The effects of the uncertainty of the structural parameters on structural dynamic response and reliability are illustrated via two engineering examples and some important conclusions are obtained.",
keywords = "Dynamic response, Fuzzy numerical characteristics, Fuzzy-random dynamic reliability, Fuzzy-random truss systems, Stationary stochastic excitation, Two-factor method",
author = "Juan Ma and Wei Gao and Peter Wriggers and Tao Wu and Shahab Sahraee",
year = "2010",
month = jan,
day = "12",
doi = "10.1007/s00466-009-0463-7",
language = "English",
volume = "45",
pages = "443--455",
journal = "Computational mechanics",
issn = "0178-7675",
publisher = "Springer Verlag",
number = "5",
}