Abstract
In past sequential studies on qualitative optimization, it has been shown that we can carry out optimization using qualitative grasps of the behaviors of the objective functions and constraints. A key issue in carrying out qualitative optimization is the determination of qualitative sensitivities. In this paper, we propose a new method of deriving qualitative sensitivities using existing optimum design results of simple structures. In general, the results of optimum design greatly depend on the formulation of the problem, so it is very difficult for the designer to formulate large-scale or complex problems, and to formulate their sensitivities. However, even in these cases, it will be possible to use analogies with parts of the optimization results for simple structures. In this study, we estimate qualitative sensitivities by making use of local information regarding these existing optimum results. We examine the proposed method and demonstrate the effectiveness of the method through simple numerical examples.
| Original language | English |
|---|---|
| Pages (from-to) | 366-373 |
| Number of pages | 8 |
| Journal | JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Manufacturing |
| Volume | 40 |
| Issue number | 2 |
| Publication status | Published - 1997 Jun |
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Keywords
- Design Engineering
- Fuzzy Set Theory
- Optimization
- Qualitative Sensitivity
ASJC Scopus subject areas
- Engineering(all)
Cite this
Derivation of qualitative sensitivities using existing optimum design results of simple structures. / Arakawa, Masao; Yamakawa, Hiroshi.
In: JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Manufacturing, Vol. 40, No. 2, 06.1997, p. 366-373.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Derivation of qualitative sensitivities using existing optimum design results of simple structures
AU - Arakawa, Masao
AU - Yamakawa, Hiroshi
PY - 1997/6
Y1 - 1997/6
N2 - In past sequential studies on qualitative optimization, it has been shown that we can carry out optimization using qualitative grasps of the behaviors of the objective functions and constraints. A key issue in carrying out qualitative optimization is the determination of qualitative sensitivities. In this paper, we propose a new method of deriving qualitative sensitivities using existing optimum design results of simple structures. In general, the results of optimum design greatly depend on the formulation of the problem, so it is very difficult for the designer to formulate large-scale or complex problems, and to formulate their sensitivities. However, even in these cases, it will be possible to use analogies with parts of the optimization results for simple structures. In this study, we estimate qualitative sensitivities by making use of local information regarding these existing optimum results. We examine the proposed method and demonstrate the effectiveness of the method through simple numerical examples.
AB - In past sequential studies on qualitative optimization, it has been shown that we can carry out optimization using qualitative grasps of the behaviors of the objective functions and constraints. A key issue in carrying out qualitative optimization is the determination of qualitative sensitivities. In this paper, we propose a new method of deriving qualitative sensitivities using existing optimum design results of simple structures. In general, the results of optimum design greatly depend on the formulation of the problem, so it is very difficult for the designer to formulate large-scale or complex problems, and to formulate their sensitivities. However, even in these cases, it will be possible to use analogies with parts of the optimization results for simple structures. In this study, we estimate qualitative sensitivities by making use of local information regarding these existing optimum results. We examine the proposed method and demonstrate the effectiveness of the method through simple numerical examples.
KW - Design Engineering
KW - Fuzzy Set Theory
KW - Optimization
KW - Qualitative Sensitivity
UR - http://www.scopus.com/inward/record.url?scp=0031153797&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0031153797&partnerID=8YFLogxK
M3 - Article
AN - SCOPUS:0031153797
VL - 40
SP - 366
EP - 373
JO - JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Menufacturing
JF - JSME International Journal, Series C: Dynamics, Control, Robotics, Design and Menufacturing
SN - 1340-8062
IS - 2
ER -