Multiobjective Optimization of Structures With/without Control
Abstract
In this paper, a new optimization algorithm based on game theory is developed. The basic idea of this approach is to support the decision-maker by directly selecting the best compromise solution from the Pareto optimal solutions. First, a pay-off matrix is constructed by optimizing each objective function subject to the given constraints. Then a substitute function is formed. Under the original constraint conditions, maximizing the substitute function gives the best compromise solution. Comparing other algorithms of the game theory, the method is easy to handle and saves a lot of computational effort. Besides, the effect of different objective functions on the structural design is investigated. This research shows that multiobjective optimization should be carried out to obtain a rational structural design. Two structural optimal design examples - one frame structure and one frame structure with active control - illustrate the application of the approach. Numerical results show that the rational compromise solutions are achieved by multiobjective optimization procedure.
Recommended Citation
F. Y. Cheng and D. Li, "Multiobjective Optimization of Structures With/without Control," 5th Symposium on Multidisciplinary Analysis and Optimization, 1994, pp. 1449 - 1458, article no. AIAA-94-4421-CP, American Institute of Aeronautics and Astronautics, Jan 1994.
The definitive version is available at https://doi.org/10.2514/6.1994-4421
Department(s)
Civil, Architectural and Environmental Engineering
Document Type
Article - Conference proceedings
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2024 American Institute of Aeronautics and Astronautics, All rights reserved.
Publication Date
01 Jan 1994
