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Sensitivity analysis and optimization of vibration modes in continuum systems
https://hiroshima.repo.nii.ac.jp/records/2007578
https://hiroshima.repo.nii.ac.jp/records/200757823ec873f-aced-46be-a8ba-ea5061ae76e2
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
JSoundVib_30_1553.pdf (1.6 MB)
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| 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 | Sensitivity analysis and optimization of vibration modes in continuum systems | |||||||||
| 言語 | en | |||||||||
| 作成者 |
Takezawa, Akihiro
× Takezawa, Akihiro
× Kitamura, Mitsuru
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| 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) 2012 Elsevier Ltd. All rights reserved. | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Sensitivity analysis | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Eigenmode | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Helmholtz equation | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Optimal design | |||||||||
| 主題 | ||||||||||
| 主題Scheme | Other | |||||||||
| 主題 | Finite element method | |||||||||
| 主題 | ||||||||||
| 主題Scheme | NDC | |||||||||
| 主題 | 530 | |||||||||
| 内容記述 | ||||||||||
| 内容記述 | The sensitivity analysis of objective functions including the eigenmodes of continuum systems governed by scalar Helmholtz equations is carried out in continuum form. In addition, based on the sensitivity, the mode shapes are specified through numerical optimization. Using the continuum sensitivity and adjoint equation, the physical nature of them can be analyzed, which helps to explain the nature of the target optimization problem. Moreover, the continuum sensitivity and adjoint equation contribute to the quick numerical implementation of sensitivity analysis using software that can solve an arbitrary partial differential equation directly. A scalar Helmholtz equation in 1D or 2D domain is considered. The sensitivity analysis is performed for the general objective function formulated as a function of the eigenmode in continuum form. A minimization problem using the least squared error (i.e., difference) between the eigenvector and target mode shape is set as a sample objective function for both the first and second eigenmodes. The sensitivity and the adjoint equation are derived for this objective function. 1D and 2D numerical sensitivity analysis and optimization examples are studied to illustrate the validity of the derived sensitivity. | |||||||||
| 言語 | en | |||||||||
| 出版者 | ||||||||||
| 出版者 | Elsevier | |||||||||
| 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.jsv.2012.11.015 | |||||||||
| 関連情報 | ||||||||||
| 識別子タイプ | DOI | |||||||||
| 関連識別子 | http://dx.doi.org/10.1016/j.jsv.2012.11.015 | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | ISSN | |||||||||
| 収録物識別子 | 0022-460X | |||||||||
| 収録物識別子 | ||||||||||
| 収録物識別子タイプ | NCID | |||||||||
| 収録物識別子 | AA00253704 | |||||||||
| 開始ページ | ||||||||||
| 開始ページ | 1553 | |||||||||
| 書誌情報 |
Journal of sound and vibration Journal of sound and vibration 巻 332, 号 6, p. 1553-1566, 発行日 2013 |
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| 旧ID | 33858 | |||||||||
