| Item type |
デフォルトアイテムタイプ_（フル）(1) |
| 公開日 |
2023-03-18 |
| タイトル |
|
|
タイトル |
Topology optimization for worst load conditions based on the eigenvalue analysis of an aggregated linear system |
|
言語 |
en |
| 作成者 |
Takezawa, Akihiro
Nii, Satoru
Kitamura, Mitsuru
Kogiso, Nozomu
|
| アクセス権 |
|
|
アクセス権 |
open access |
|
アクセス権URI |
http://purl.org/coar/access_right/c_abf2 |
| 権利情報 |
|
|
権利情報 |
Copyright (c) 2011 Elsevier B.V. |
| 主題 |
|
|
主題Scheme |
Other |
|
主題 |
Robust design |
| 主題 |
|
|
主題Scheme |
Other |
|
主題 |
Worst case design |
| 主題 |
|
|
主題Scheme |
Other |
|
主題 |
Topology optimization |
| 主題 |
|
|
主題Scheme |
Other |
|
主題 |
Finite element method |
| 主題 |
|
|
主題Scheme |
Other |
|
主題 |
Eigenvalue analysis |
| 主題 |
|
|
主題Scheme |
Other |
|
主題 |
Sensitivity analysis |
| 主題 |
|
|
主題Scheme |
NDC |
|
主題 |
530 |
| 内容記述 |
|
|
内容記述 |
This paper proposes a topology optimization for a linear elasticity design problem subjected to an uncertain load. The design problem is formulated to minimize a robust compliance that is defined as the maximum compliance induced by the worst load case of an uncertain load set. Since the robust compliance can be formulated as the scalar product of the uncertain input load and output displacement vectors, the idea of “aggregation" used in the field of control is introduced to assess the value of the robust compliance. The aggregation solution technique provides the direct relationship between the uncertain input load and output displacement, as a small linear system composed of these vectors and the reduced size of a symmetric matrix, in the context of a discretized linear elasticity problem, using the finite element method. Introducing the constraint that the Euclidean norm of the uncertain load set is fixed, the robust compliance minimization problem is formulated as the minimization of the maximum eigenvalue of the aggregated symmetric matrix according to the Rayleigh–Ritz theorem for symmetric matrices. Moreover, the worst load case is easily established as the eigenvector corresponding to the maximum eigenvalue of the matrix. The proposed structural optimization method is implemented using topology optimization and the method of moving asymptotes (MMA). The numerical examples provided illustrate mechanically reasonable structures and establish the worst load cases corresponding to these optimal structures. |
|
言語 |
en |
| 出版者 |
|
|
出版者 |
Elsevier B.V. |
| 言語 |
|
|
言語 |
eng |
| 資源タイプ |
|
|
資源タイプ識別子 |
http://purl.org/coar/resource_type/c_6501 |
|
資源タイプ |
journal article |
| 出版タイプ |
|
|
出版タイプ |
AO |
|
出版タイプResource |
http://purl.org/coar/version/c_b1a7d7d4d402bcce |
| 関連情報 |
|
|
|
識別子タイプ |
DOI |
|
|
関連識別子 |
10.1016/j.cma.2011.03.008 |
| 関連情報 |
|
|
|
識別子タイプ |
DOI |
|
|
関連識別子 |
http://dx.doi.org/10.1016/j.cma.2011.03.008 |
| 収録物識別子 |
|
|
収録物識別子タイプ |
ISSN |
|
収録物識別子 |
0045-7825 |
| 収録物識別子 |
|
|
収録物識別子タイプ |
NCID |
|
収録物識別子 |
AA00613297 |
| 開始ページ |
|
|
開始ページ |
2268 |
| 書誌情報 |
Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering
巻 200,
号 25-28,
p. 2268-2281,
発行日 2011-06-15
|
| 旧ID |
31383 |
ComputMethApplMechEng_25-28_2268.pdf (2.4 MB)
