Multiobjective robust shape and topology optimization of plane frames using order statistics
| Autor: | Makoto Yamakawa, Makoto Ohsaki, Wei Shen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
Mathematical optimization
Control and Optimization Computer science Plane frame structure Order statistic Topology optimization 0211 other engineering and technologies Truncated mean Robust optimization 02 engineering and technology Computer Graphics and Computer-Aided Design Multiobjective robust optimization Computer Science Applications Order statistics 020303 mechanical engineering & transports 0203 mechanical engineering Genetic algorithm Control and Systems Engineering Robustness (computer science) Convergence (routing) Relaxation (approximation) Software 021106 design practice & management Quantile |
| Zdroj: | Structural and Multidisciplinary Optimization. 63(1):75-94 |
| ISSN: | 1615-147X |
| Popis: | This paper presents a worst-case approach to robust optimization of plane frame structures under variation in uncertain parameters. The optimization procedure is first implemented without considering uncertainty, resulting in an optimal structure that may be unstable without bending stiffness. Based on such optimal solution, we then take variation in uncertain parameters into consideration and estimate the quantile response or trimmed mean of order statistics, where the quantile response is used as a relaxation of worst value of structural response. In order to obtain robust optimal solutions at various robustness levels, a multiobjective optimization problem is formulated and solved to simultaneously minimize the several order statistics or trimmed means with different orders. It is demonstrated in the numerical examples that the optimal distribution of cross-sectional areas of elements vary with the change of robustness level, and the convergence by using trimmed mean as estimation of quantile response is better than that of the simple order statistics. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|
Full text from SpringerLink