Details
| Original language | English |
|---|---|
| Pages (from-to) | 443-455 |
| Number of pages | 13 |
| Journal | Computational mechanics |
| Volume | 45 |
| Issue number | 5 |
| Publication status | Published - 12 Jan 2010 |
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
ASJC Scopus subject areas
- Engineering(all)
- Computational Mechanics
- Engineering(all)
- Ocean Engineering
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computational Theory and Mathematics
- Mathematics(all)
- Computational Mathematics
- Mathematics(all)
- Applied Mathematics
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In: Computational mechanics, Vol. 45, No. 5, 12.01.2010, p. 443-455.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - The analyses of dynamic response and reliability of fuzzy-random truss under stationary stochastic excitation
AU - Ma, Juan
AU - Gao, Wei
AU - Wriggers, Peter
AU - Wu, Tao
AU - Sahraee, Shahab
PY - 2010/1/12
Y1 - 2010/1/12
N2 - 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.
AB - 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.
KW - Dynamic response
KW - Fuzzy numerical characteristics
KW - Fuzzy-random dynamic reliability
KW - Fuzzy-random truss systems
KW - Stationary stochastic excitation
KW - Two-factor method
UR - http://www.scopus.com/inward/record.url?scp=84897114676&partnerID=8YFLogxK
U2 - 10.1007/s00466-009-0463-7
DO - 10.1007/s00466-009-0463-7
M3 - Article
AN - SCOPUS:84897114676
VL - 45
SP - 443
EP - 455
JO - Computational mechanics
JF - Computational mechanics
SN - 0178-7675
IS - 5
ER -