Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 740-753 |
| Seitenumfang | 14 |
| Fachzeitschrift | ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik |
| Jahrgang | 84 |
| Ausgabenummer | 10-11 |
| Publikationsstatus | Veröffentlicht - 2004 |
| Extern publiziert | Ja |
Abstract
In this paper a comprehensive application of fuzzy set theory in structural engineering is presented. Non-stochastic uncertainty is quantified using fuzzy values. The fuzzy structural parameters are processed on the basis of a generally applicable numerical method for arbitrary linear and nonlinear fuzzy structural analyses. This method is formulated in terms of α-level optimization combined with a modified evolution strategy. The fuzzy structural responses are compared with permissible values and assessed using an analog to the Shannon entropy and defuzzification algorithms. Referring to permissible fuzzy structural responses uncertain structural design parameters are derived by applying a fuzzy cluster analysis to the fuzzy structural parameters. The nonlinear fuzzy structural analysis including uncertain structural design is demonstrated by way of an example.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Numerische Mechanik
- Mathematik (insg.)
- Angewandte Mathematik
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in: ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, Jahrgang 84, Nr. 10-11, 2004, S. 740-753.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Uncertain structural design based on nonlinear fuzzy analysis
AU - Beer, Michael
PY - 2004
Y1 - 2004
N2 - In this paper a comprehensive application of fuzzy set theory in structural engineering is presented. Non-stochastic uncertainty is quantified using fuzzy values. The fuzzy structural parameters are processed on the basis of a generally applicable numerical method for arbitrary linear and nonlinear fuzzy structural analyses. This method is formulated in terms of α-level optimization combined with a modified evolution strategy. The fuzzy structural responses are compared with permissible values and assessed using an analog to the Shannon entropy and defuzzification algorithms. Referring to permissible fuzzy structural responses uncertain structural design parameters are derived by applying a fuzzy cluster analysis to the fuzzy structural parameters. The nonlinear fuzzy structural analysis including uncertain structural design is demonstrated by way of an example.
AB - In this paper a comprehensive application of fuzzy set theory in structural engineering is presented. Non-stochastic uncertainty is quantified using fuzzy values. The fuzzy structural parameters are processed on the basis of a generally applicable numerical method for arbitrary linear and nonlinear fuzzy structural analyses. This method is formulated in terms of α-level optimization combined with a modified evolution strategy. The fuzzy structural responses are compared with permissible values and assessed using an analog to the Shannon entropy and defuzzification algorithms. Referring to permissible fuzzy structural responses uncertain structural design parameters are derived by applying a fuzzy cluster analysis to the fuzzy structural parameters. The nonlinear fuzzy structural analysis including uncertain structural design is demonstrated by way of an example.
KW - α-level optimization
KW - Fuzzy clustering
KW - Fuzzy numbers
KW - Fuzzy structural analysis
KW - Uncertain structural design
UR - http://www.scopus.com/inward/record.url?scp=9544243681&partnerID=8YFLogxK
U2 - 10.1002/zamm.200410154
DO - 10.1002/zamm.200410154
M3 - Article
AN - SCOPUS:9544243681
VL - 84
SP - 740
EP - 753
JO - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
JF - ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
SN - 0044-2267
IS - 10-11
ER -