About eigen sensitivity analysis of mechanical structures
Several methods for a calculation of derivatives of eigenvectors with respect to design parameters are described here. These are the finite-difference method, the modal method, a modified modal method, Nelson's method, an improved first-order approximation of eigenvalues and eigenvecto...
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| Format: | Article |
| Language: | English |
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Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade
2013-01-01
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| Series: | Theoretical and Applied Mechanics |
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| Online Access: | http://www.doiserbia.nb.rs/img/doi/1450-5584/2013/1450-55841302263T.pdf |
| _version_ | 1828159476478246912 |
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| author | Trišović Nataša R. |
| author_facet | Trišović Nataša R. |
| author_sort | Trišović Nataša R. |
| collection | DOAJ |
| description | Several methods for a calculation of derivatives of eigenvectors with respect
to design parameters are described here. These are the finite-difference
method, the modal method, a modified modal method, Nelson's method, an
improved first-order approximation of eigenvalues and eigenvectors and an
iterative method. By combining the other structural reanalysis techniques and
one of these sensitivity methods, it is possible to enhance the efficiency
and the accuracy of structural optimization techniques for determining the
optimum condition of mechanical structure specified by an analyst. The
sensitivity approach is based on the prior selection of updating parameters
(design variables) in the initial FE model. [Projekat Ministarstva nauke
Republike Srbije, br. ON74001 i br. TR35011] |
| first_indexed | 2024-04-12T00:01:33Z |
| format | Article |
| id | doaj.art-600f4e6a4f2d44e0a03e31349b54a3c3 |
| institution | Directory Open Access Journal |
| issn | 1450-5584 |
| language | English |
| last_indexed | 2024-04-12T00:01:33Z |
| publishDate | 2013-01-01 |
| publisher | Serbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, Belgrade |
| record_format | Article |
| series | Theoretical and Applied Mechanics |
| spelling | doaj.art-600f4e6a4f2d44e0a03e31349b54a3c32022-12-22T03:56:12ZengSerbian Society of Mechanics & Mathematical Institute of the Serbian Academy of Sciences and Arts, BelgradeTheoretical and Applied Mechanics1450-55842013-01-0140226327510.2298/TAM1302263T1450-55841302263TAbout eigen sensitivity analysis of mechanical structuresTrišović Nataša R.0Faculty of Mechanical Engineering, Department of Mechanics, BelgradeSeveral methods for a calculation of derivatives of eigenvectors with respect to design parameters are described here. These are the finite-difference method, the modal method, a modified modal method, Nelson's method, an improved first-order approximation of eigenvalues and eigenvectors and an iterative method. By combining the other structural reanalysis techniques and one of these sensitivity methods, it is possible to enhance the efficiency and the accuracy of structural optimization techniques for determining the optimum condition of mechanical structure specified by an analyst. The sensitivity approach is based on the prior selection of updating parameters (design variables) in the initial FE model. [Projekat Ministarstva nauke Republike Srbije, br. ON74001 i br. TR35011]http://www.doiserbia.nb.rs/img/doi/1450-5584/2013/1450-55841302263T.pdfeigenvalue and eigenvector sensitivity |
| spellingShingle | Trišović Nataša R. About eigen sensitivity analysis of mechanical structures Theoretical and Applied Mechanics eigenvalue and eigenvector sensitivity |
| title | About eigen sensitivity analysis of mechanical structures |
| title_full | About eigen sensitivity analysis of mechanical structures |
| title_fullStr | About eigen sensitivity analysis of mechanical structures |
| title_full_unstemmed | About eigen sensitivity analysis of mechanical structures |
| title_short | About eigen sensitivity analysis of mechanical structures |
| title_sort | about eigen sensitivity analysis of mechanical structures |
| topic | eigenvalue and eigenvector sensitivity |
| url | http://www.doiserbia.nb.rs/img/doi/1450-5584/2013/1450-55841302263T.pdf |
| work_keys_str_mv | AT trisovicnatasar abouteigensensitivityanalysisofmechanicalstructures |