Details
| Original language | English |
|---|---|
| Article number | e201900004 |
| Journal | GAMM Mitteilungen |
| Volume | 42 |
| Issue number | 1 |
| Publication status | Published - 21 Mar 2019 |
Abstract
In structural analysis with multivariate random fields, the underlying distribution functions, the autocorrelations, and the crosscorrelations require an extensive quantification. While those parameters are difficult to measure in experiments, a lack of knowledge is included. Therefore, polymorphic uncertainty models are attained by involving uncertainty models with epistemic characteristic for the quantification of the stochastic models in this contribution. Three extensions for random fields with polymorphic uncertainty modeling are introduced. Interval probability based random fields, fuzzy probability based random fields, and structural dependent autocorrelations for random fields are shown. Applications for engineering problems are shown for each extension, where uncertainty analysis of structures with different materials is performed. In this contribution, a damage simulation of a concrete beam with interval valued parametrization of stochastic models, an application for porous media in a multiphysical structural analysis with fuzzy valued parametrization and an uncertainty analysis with structural dependent autocorrelations for timber structures are presented.
Keywords
- fuzzy probability based randomness, interval probability based randomness, multivariate random fields, polymorphic uncertainty, structural depending correlation
ASJC Scopus subject areas
- Materials Science(all)
- General Materials Science
- Physics and Astronomy(all)
- General Physics and Astronomy
- Mathematics(all)
- Applied Mathematics
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In: GAMM Mitteilungen, Vol. 42, No. 1, e201900004, 21.03.2019.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Development of fuzzy probability based random fields for the numerical structural design
AU - Schietzold, Friedemann N.
AU - Schmidt, Albrecht
AU - Dannert, Mona M.
AU - Fau, Amelie
AU - Fleury, Rodolfo M.N.
AU - Graf, Wolfgang
AU - Kaliske, Michael
AU - Könke, Carsten
AU - Lahmer, Tom
AU - Nackenhorst, Udo
N1 - Funding information: This research was supported by the Deutsche Forschungsgemeinschaft, KA 1163/36-1, GR 1504/10-1, LA 2869/6-1, KO 1267/22-1, NA 330/12-1. The demonstrated results and research activities arise from a cooperation of the three projects “Multi-objective optimization of wooden structures with polymorphic uncertain parameters” (GR 1504/10-1 and KA 1163/36-1), “Polymorphic uncertainty modeling of heterogeneous thermo-hydro-mechanical coupled systems under vague assumptions of parameter correlations” (LA 2869/6-1 and KO 1267/22-1), and “Sophisticated computational techniques for damage mechanics with mixed uncertain input fields” (NA 330/12-1). They are part of Priority Programme SPP 1886. The funding by the German Research Foundation (DFG) is gratefully acknowledged.
PY - 2019/3/21
Y1 - 2019/3/21
N2 - In structural analysis with multivariate random fields, the underlying distribution functions, the autocorrelations, and the crosscorrelations require an extensive quantification. While those parameters are difficult to measure in experiments, a lack of knowledge is included. Therefore, polymorphic uncertainty models are attained by involving uncertainty models with epistemic characteristic for the quantification of the stochastic models in this contribution. Three extensions for random fields with polymorphic uncertainty modeling are introduced. Interval probability based random fields, fuzzy probability based random fields, and structural dependent autocorrelations for random fields are shown. Applications for engineering problems are shown for each extension, where uncertainty analysis of structures with different materials is performed. In this contribution, a damage simulation of a concrete beam with interval valued parametrization of stochastic models, an application for porous media in a multiphysical structural analysis with fuzzy valued parametrization and an uncertainty analysis with structural dependent autocorrelations for timber structures are presented.
AB - In structural analysis with multivariate random fields, the underlying distribution functions, the autocorrelations, and the crosscorrelations require an extensive quantification. While those parameters are difficult to measure in experiments, a lack of knowledge is included. Therefore, polymorphic uncertainty models are attained by involving uncertainty models with epistemic characteristic for the quantification of the stochastic models in this contribution. Three extensions for random fields with polymorphic uncertainty modeling are introduced. Interval probability based random fields, fuzzy probability based random fields, and structural dependent autocorrelations for random fields are shown. Applications for engineering problems are shown for each extension, where uncertainty analysis of structures with different materials is performed. In this contribution, a damage simulation of a concrete beam with interval valued parametrization of stochastic models, an application for porous media in a multiphysical structural analysis with fuzzy valued parametrization and an uncertainty analysis with structural dependent autocorrelations for timber structures are presented.
KW - fuzzy probability based randomness
KW - interval probability based randomness
KW - multivariate random fields
KW - polymorphic uncertainty
KW - structural depending correlation
UR - http://www.scopus.com/inward/record.url?scp=85063326245&partnerID=8YFLogxK
U2 - 10.1002/gamm.201900004
DO - 10.1002/gamm.201900004
M3 - Article
AN - SCOPUS:85063326245
VL - 42
JO - GAMM Mitteilungen
JF - GAMM Mitteilungen
SN - 0936-7195
IS - 1
M1 - e201900004
ER -