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 Scopus citations

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
StatePublished - Dec 1 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

Publication series

NameCollection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference
Volume6

Other

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

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 (pp. 3546-3558). (Collection of Technical Papers - 10th AIAA/ISSMO Multidisciplinary Analysis and Optimization Conference; Vol. 6).