Details
| Original language | English |
|---|---|
| Pages (from-to) | 1567-1582 |
| Number of pages | 16 |
| Journal | Computers and Structures |
| Volume | 81 |
| Issue number | 15 |
| Early online date | 22 Apr 2003 |
| Publication status | Published - Jul 2003 |
| Externally published | Yes |
Abstract
Structural safety can be realistically assessed only if the uncertainty in the structural parameters is appropriately taken into consideration and realistic computational models are applied. Uncertainty must be accounted for in its natural form. Stochastic models are not always capable of fulfilling this task without restrictions, as uncertainty may also be characterized by fuzzy randomness or fuzziness. On the basis of the theory of the fuzzy random variables the fuzzy probabilistic safety concept is introduced and formulated as the fuzzy first order reliability method (FFORM). This concept permits fuzziness, randomness and fuzzy randomness to be accounted for simultaneously. FFORM is illustrated by way of an example; hereby, the influence of the computational model is also demonstrated.
Keywords
- Fuzzy probability, Fuzzy randomness, Fuzzy sets, Imprecise probability, Safety assessment, Structural reliability, Uncertainty
ASJC Scopus subject areas
- Engineering(all)
- Civil and Structural Engineering
- Mathematics(all)
- Modelling and Simulation
- Materials Science(all)
- Engineering(all)
- Mechanical Engineering
- Computer Science(all)
- Computer Science Applications
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In: Computers and Structures, Vol. 81, No. 15, 07.2003, p. 1567-1582.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Safety assessment of structures in view of fuzzy randomness
AU - Möller, Bernd
AU - Graf, Wolfgang
AU - Beer, Michael
N1 - Funding Information: Authors gratefully acknowledge the support of the German Research Foundation (DFG).
PY - 2003/7
Y1 - 2003/7
N2 - Structural safety can be realistically assessed only if the uncertainty in the structural parameters is appropriately taken into consideration and realistic computational models are applied. Uncertainty must be accounted for in its natural form. Stochastic models are not always capable of fulfilling this task without restrictions, as uncertainty may also be characterized by fuzzy randomness or fuzziness. On the basis of the theory of the fuzzy random variables the fuzzy probabilistic safety concept is introduced and formulated as the fuzzy first order reliability method (FFORM). This concept permits fuzziness, randomness and fuzzy randomness to be accounted for simultaneously. FFORM is illustrated by way of an example; hereby, the influence of the computational model is also demonstrated.
AB - Structural safety can be realistically assessed only if the uncertainty in the structural parameters is appropriately taken into consideration and realistic computational models are applied. Uncertainty must be accounted for in its natural form. Stochastic models are not always capable of fulfilling this task without restrictions, as uncertainty may also be characterized by fuzzy randomness or fuzziness. On the basis of the theory of the fuzzy random variables the fuzzy probabilistic safety concept is introduced and formulated as the fuzzy first order reliability method (FFORM). This concept permits fuzziness, randomness and fuzzy randomness to be accounted for simultaneously. FFORM is illustrated by way of an example; hereby, the influence of the computational model is also demonstrated.
KW - Fuzzy probability
KW - Fuzzy randomness
KW - Fuzzy sets
KW - Imprecise probability
KW - Safety assessment
KW - Structural reliability
KW - Uncertainty
UR - http://www.scopus.com/inward/record.url?scp=0038587715&partnerID=8YFLogxK
U2 - 10.1016/S0045-7949(03)00147-0
DO - 10.1016/S0045-7949(03)00147-0
M3 - Article
AN - SCOPUS:0038587715
VL - 81
SP - 1567
EP - 1582
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
IS - 15
ER -