A convex hull approach for the reliability-based design optimization of transient dynamic problems

Palaniappan Ramu, Samy Missoum, Raphael T. Haftka

Research output: Chapter in Book/Report/Conference proceedingConference contribution

4 Citations (Scopus)

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 languageEnglish (US)
Title of host publicationCollection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
Pages3546-3558
Number of pages13
Volume6
StatePublished - 2004
Externally publishedYes
EventCollection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference - Albany, NY, United States
Duration: Aug 30 2004Sep 1 2004

Other

OtherCollection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
CountryUnited States
CityAlbany, NY
Period8/30/049/1/04

Fingerprint

Design optimization
Optimal design

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Ramu, P., Missoum, S., & Haftka, R. T. (2004). A convex hull approach for the reliability-based design optimization of transient dynamic problems. In Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference (Vol. 6, pp. 3546-3558)

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 proceedingConference contribution

Ramu, P, Missoum, S & Haftka, RT 2004, A convex hull approach for the reliability-based design optimization of transient dynamic problems. in Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference. vol. 6, pp. 3546-3558, Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference, Albany, NY, United States, 8/30/04.
Ramu P, Missoum S, Haftka RT. A convex hull approach for the reliability-based design optimization of transient dynamic problems. In Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference. Vol. 6. 2004. p. 3546-3558
Ramu, Palaniappan ; Missoum, Samy ; Haftka, Raphael T. / A convex hull approach for the reliability-based design optimization of transient dynamic problems. Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference. Vol. 6 2004. pp. 3546-3558
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