2021年7月
Robust geometry and topology optimization of plane frames using order statistics and force density method with global stability constraint
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING
- ,
- ,
- 巻
- 122
- 号
- 14
- 開始ページ
- 3653
- 終了ページ
- 3677
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1002/nme.6676
- 出版者・発行元
- WILEY
This paper presents a worst case approach for robust geometry and topology optimization of plane frames with global stability constraint. Uncertainty is assumed to exist in the nodal locations and cross-sectional areas, and the worst values of the objective and stability constraint functions are relaxed to the quantile structural responses represented by the order statistics with given robustness and confidence levels. In order to alleviate the difficulty caused by melting nodes to some extent, the force density method is applied to an auxiliary truss model for geometry optimization of the frame, and the closely spaced nodes are merged. A method is presented for generating correlated imperfections for the nodal locations along each member, and a penalization approach is proposed for geometrical stiffness matrix to exclude superficial local buckling. It is demonstrated in the numerical examples that the result of robust optimization obtained by the proposed method is less sensitive to the uncertainty, and the stability constraint is also satisfied under uncertainty with the specified robustness and confidence levels.
- リンク情報
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- DOI
- https://doi.org/10.1002/nme.6676
- Web of Science
- https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcAuth=JSTA_CEL&SrcApp=J_Gate_JST&DestLinkType=FullRecord&KeyUT=WOS:000641332800001&DestApp=WOS_CPL
- Scopus
- https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85104506174&origin=inward
- Scopus Citedby
- https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85104506174&origin=inward
- ID情報
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- DOI : 10.1002/nme.6676
- ISSN : 0029-5981
- eISSN : 1097-0207
- SCOPUS ID : 85104506174
- Web of Science ID : WOS:000641332800001