Numerical Solution for Min-Max Shape Optimization Problems. (Minimum Design of Maximum Stress and Displacement).
書誌事項
- タイトル別名
-
- Numerical Solution for Min-Max Shape Op
この論文をさがす
説明
This paper presents a numerical shape optimization method for continua that minimizes some maximum local measure such as stress or displacement. A method of solving such min-max problems subject to a volume constraint is proposed. This method uses the Kreisselmeier-Steinhauser function to transpose local functionals to global integral functionals so as to avoid non-differentiability. With this function, a multiple loading problem is recast as a single loading problem. The shape gradient functions used in the proposed traction method are derived theoretically using Lagrange multipliers and the material derivative method. Using the traction method, the optimum domain variation that reduces the objective functional is numerically and iteratively determined while maintaining boundary smoothness. Calculated results for two- and three-dimensional problems are presented to show the effectiveness and practical utility of the proposed method for min-max shape design problems.
収録刊行物
-
- JSME International Journal Series A Solid Mechanics and Material Engineering
-
JSME International Journal Series A Solid Mechanics and Material Engineering 41 (1), 1-9, 1998
一般社団法人 日本機械学会
- Tweet
キーワード
詳細情報 詳細情報について
-
- CRID
- 1390282681470247040
-
- NII論文ID
- 110002965260
- 130003902436
-
- NII書誌ID
- AA11179396
-
- BIBCODE
- 1998JSMEA..41....1S
-
- ISSN
- 13475363
- 13447912
-
- HANDLE
- 2237/12154
-
- NDL書誌ID
- 4384471
-
- 本文言語コード
- en
-
- データソース種別
-
- JaLC
- IRDB
- NDL
- Crossref
- CiNii Articles
-
- 抄録ライセンスフラグ
- 使用不可