Details
| Originalsprache | Englisch |
|---|---|
| Seiten (von - bis) | 1102-1122 |
| Seitenumfang | 21 |
| Fachzeitschrift | Computers and Structures |
| Jahrgang | 86 |
| Ausgabenummer | 10 |
| Frühes Online-Datum | 9 Juli 2007 |
| Publikationsstatus | Veröffentlicht - Mai 2008 |
| Extern publiziert | Ja |
Abstract
This paper presents a generally applicable numerical procedure for designing robust structures under uncertainty, which can be coupled with any arbitrary nonlinear computational model for statical or dynamic structural analysis. Based on the results from an uncertain structural analysis several permissible design domains are determined with the aid of cluster analysis methods instead of traditionally computing only one particular set of crisp design parameter values; these represent design alternatives. To identify a preference solution, a discrete three-criteria optimization problem is formulated, which is focused on maximum structural robustness and includes a safety component. A measure for the global robustness of the design alternatives is introduced based on an analog to Shannon's entropy. The goal of the resulting design is that the structural behavior is only marginally affected by uncertainty and by changes in the design parameters, which further provides comfortable decision margins to the construction engineer. The proposed procedure is demonstrated by means of a numerical example and of an example from engineering practice in vehicle crashworthiness design.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Tief- und Ingenieurbau
- Mathematik (insg.)
- Modellierung und Simulation
- Werkstoffwissenschaften (insg.)
- Allgemeine Materialwissenschaften
- Ingenieurwesen (insg.)
- Maschinenbau
- Informatik (insg.)
- Angewandte Informatik
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in: Computers and Structures, Jahrgang 86, Nr. 10, 05.2008, S. 1102-1122.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Designing robust structures - A nonlinear simulation based approach
AU - Beer, Michael
AU - Liebscher, Martin
N1 - Funding information: The authors gratefully acknowledge the support of the German Research Foundation (DFG).
PY - 2008/5
Y1 - 2008/5
N2 - This paper presents a generally applicable numerical procedure for designing robust structures under uncertainty, which can be coupled with any arbitrary nonlinear computational model for statical or dynamic structural analysis. Based on the results from an uncertain structural analysis several permissible design domains are determined with the aid of cluster analysis methods instead of traditionally computing only one particular set of crisp design parameter values; these represent design alternatives. To identify a preference solution, a discrete three-criteria optimization problem is formulated, which is focused on maximum structural robustness and includes a safety component. A measure for the global robustness of the design alternatives is introduced based on an analog to Shannon's entropy. The goal of the resulting design is that the structural behavior is only marginally affected by uncertainty and by changes in the design parameters, which further provides comfortable decision margins to the construction engineer. The proposed procedure is demonstrated by means of a numerical example and of an example from engineering practice in vehicle crashworthiness design.
AB - This paper presents a generally applicable numerical procedure for designing robust structures under uncertainty, which can be coupled with any arbitrary nonlinear computational model for statical or dynamic structural analysis. Based on the results from an uncertain structural analysis several permissible design domains are determined with the aid of cluster analysis methods instead of traditionally computing only one particular set of crisp design parameter values; these represent design alternatives. To identify a preference solution, a discrete three-criteria optimization problem is formulated, which is focused on maximum structural robustness and includes a safety component. A measure for the global robustness of the design alternatives is introduced based on an analog to Shannon's entropy. The goal of the resulting design is that the structural behavior is only marginally affected by uncertainty and by changes in the design parameters, which further provides comfortable decision margins to the construction engineer. The proposed procedure is demonstrated by means of a numerical example and of an example from engineering practice in vehicle crashworthiness design.
KW - Cluster methods
KW - Decision making
KW - Inverse problem
KW - Nonlinear structural analysis
KW - Robust structural design
KW - Uncertainty processing
UR - http://www.scopus.com/inward/record.url?scp=41549093646&partnerID=8YFLogxK
U2 - 10.1016/j.compstruc.2007.05.037
DO - 10.1016/j.compstruc.2007.05.037
M3 - Article
AN - SCOPUS:41549093646
VL - 86
SP - 1102
EP - 1122
JO - Computers and Structures
JF - Computers and Structures
SN - 0045-7949
IS - 10
ER -