Bounded-but-unknown uncertainties in design optimization

Authors

• F. van Keulen, Delft University of Technology
• H. Damveld, Delft University of Technology
• I. Elishakoff, Florida Atlantic University
• V. V. Toropov, University of Bradford

Author Type

Outside Researcher

Co-Author Type 1

Outside Researcher

Co-Author Type 2

Faculty

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Conference Proceeding

Publication/Event/Conference Title

19th AIAA Applied Aerodynamics Conference

Publication Status

Version of Record

Abstract

In the present paper, an adopted way to deal with uncertainties in the design is to find the combination of uncertainties which yield the worst design. This can be done by utilizing a description of uncertainty via bounds on the uncertainty variables. The focus is placed on analytic, asymptotic first-order approximations if uncertainty is small, the basis for which are sensitivities with respect to uncertainty variables. It is shown that a natural norm for the sensitivity emerges. If uncertainty is large, the worst uncertainties should be found by doing a more elaborate search using an anti-optimization process. These alternative ways of dealing with uncertainty variables are embedded in a structural optimization setting using the Multipoint Approximation Method as optimization tool. Moreover, a method is proposed to construct a more efficient anti-optimization. The basis is the use of response surface techniques. © 2001 by F. van Keulen.

DOI

10.2514/6.2001-1242

Publication Date

1-1-2001

Recommended Citation

van Keulen, F.; Damveld, H.; Elishakoff, I.; and Toropov, V. V., "Bounded-but-unknown uncertainties in design optimization" (2001). Faculty Scholarship. 470.
https://digitalcommons.fau.edu/faculty_papers/470