Structural design under bounded uncertainty-Optimization with anti-optimization
College
Engineering and Computer Science
Department
Ocean and Mechanical Engineering
Document Type
Article
Publication/Event/Conference Title
Computers and Structures
Publication Status
Version of Record
Abstract
In many cases precise probabilistic data are not available on uncertainty in loads, but the magnitude of the uncertainty can be bound. This paper proposes a design approach for structural optimization with uncertain but bounded loads. The problem of identifying critical loads is formulated mathematically as an optimization problem in itself (called anti-optimization), so that the design problem is formulated as a two-level optimization. For linear structural analysis it is shown that the antioptimization part is limited to consideration of the vertices of the load-uncertainty domain. An example of a ten-bar truss is used to demonstrate that we cannot replace the anti-optimization process by considering the largest possible loads. © 1994.
First Page
1401
Last Page
1405
DOI
10.1016/0045-7949(94)90405-7
Publication Date
12-17-1994
Recommended Citation
Elishakoff, I.; Haftka, R. T.; and Fang, J., "Structural design under bounded uncertainty-Optimization with anti-optimization" (1994). Faculty Scholarship. 557.
https://digitalcommons.fau.edu/faculty_papers/557