2008年
Semidefinite programming for uncertain linear equations in static analysis of structures
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING
- ,
- 巻
- 198
- 号
- 1
- 開始ページ
- 102
- 終了ページ
- 115
- 記述言語
- 英語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.1016/j.cma.2008.04.003
- 出版者・発行元
- ELSEVIER SCIENCE SA
This paper presents a method for computing a minimal bound that contains the solution set to the uncertain linear equations. Particularly, we aim at finding a bounding ellipsoid for static response of structures, where both external forces and elastic moduli of members are assumed to be imprecisely known and bounded. By using the y-lemma. we formulate a semidefinite programming (SDP) problem which provides an outer approximation of the minimal bounding ellipsoid. Bounding ellipsoids are computed for nodal displacements of uncertain braced frames as the solutions of the presented SDP problems by using the primal-dual interior-point method. (C) 2008 Elsevier B.V. All rights reserved.
- リンク情報
- ID情報
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- DOI : 10.1016/j.cma.2008.04.003
- ISSN : 0045-7825
- eISSN : 1879-2138
- J-Global ID : 200902238736742452
- Web of Science ID : WOS:000261249700009