Abstract
Nonlinear problems such as transient dynamic problems exhibit structural responses that can be discontinuous due to numerous bifurcations. This hinders gradient-based or response surface-based optimization. This paper proposes a novel approach to split the design space into regions where the response is continuous. This makes traditional optimization viable. A convex hull approach is adopted to isolate the points corresponding to unwanted bifurcations in the design space. The proposed approach is applied to a tube impacting a rigid wall representing a transient dynamic problem. Since nonlinear behavior is highly sensitive to small variations in design, reliability-based design optimization is performed. The proposed method provides the designer an optimal design with a prescribed dynamic behavior.
| Original language | English (US) |
|---|---|
| Title of host publication | Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference |
| Pages | 3546-3558 |
| Number of pages | 13 |
| Volume | 6 |
| State | Published - 2004 |
| Externally published | Yes |
| Event | Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference - Albany, NY, United States Duration: Aug 30 2004 → Sep 1 2004 |
Other
| Other | Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference |
|---|---|
| Country | United States |
| City | Albany, NY |
| Period | 8/30/04 → 9/1/04 |
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ASJC Scopus subject areas
- Engineering(all)
Cite this
A convex hull approach for the reliability-based design optimization of transient dynamic problems. / Ramu, Palaniappan; Missoum, Samy; Haftka, Raphael T.
Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference. Vol. 6 2004. p. 3546-3558.Research output: Chapter in Book/Report/Conference proceeding › Conference contribution
}
TY - GEN
T1 - A convex hull approach for the reliability-based design optimization of transient dynamic problems
AU - Ramu, Palaniappan
AU - Missoum, Samy
AU - Haftka, Raphael T.
PY - 2004
Y1 - 2004
N2 - Nonlinear problems such as transient dynamic problems exhibit structural responses that can be discontinuous due to numerous bifurcations. This hinders gradient-based or response surface-based optimization. This paper proposes a novel approach to split the design space into regions where the response is continuous. This makes traditional optimization viable. A convex hull approach is adopted to isolate the points corresponding to unwanted bifurcations in the design space. The proposed approach is applied to a tube impacting a rigid wall representing a transient dynamic problem. Since nonlinear behavior is highly sensitive to small variations in design, reliability-based design optimization is performed. The proposed method provides the designer an optimal design with a prescribed dynamic behavior.
AB - Nonlinear problems such as transient dynamic problems exhibit structural responses that can be discontinuous due to numerous bifurcations. This hinders gradient-based or response surface-based optimization. This paper proposes a novel approach to split the design space into regions where the response is continuous. This makes traditional optimization viable. A convex hull approach is adopted to isolate the points corresponding to unwanted bifurcations in the design space. The proposed approach is applied to a tube impacting a rigid wall representing a transient dynamic problem. Since nonlinear behavior is highly sensitive to small variations in design, reliability-based design optimization is performed. The proposed method provides the designer an optimal design with a prescribed dynamic behavior.
UR - http://www.scopus.com/inward/record.url?scp=20344366810&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=20344366810&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:20344366810
SN - 1563477165
SN - 9781563477164
VL - 6
SP - 3546
EP - 3558
BT - Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
ER -