Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies
Derivatives of eigenvectors with respect to structural parameters play an important role in structural design, identification, and optimization. Particularly, calculation of eigenvector sensitivity is considered when the eigenvalues are repeated. A relaxation factor embedded in the combined approxim...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/810147 |
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| _version_ | 1841524696700420096 |
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| author | Shijia Zhao Tao Xu Guikai Guo Wei Zhang Dongkai Liu |
| author_facet | Shijia Zhao Tao Xu Guikai Guo Wei Zhang Dongkai Liu |
| author_sort | Shijia Zhao |
| collection | DOAJ |
| description | Derivatives of eigenvectors with respect to structural parameters play an important role in structural design, identification, and optimization. Particularly, calculation of eigenvector sensitivity is considered when the eigenvalues are repeated. A relaxation factor embedded in the combined approximations (CA) method makes it effective to the structural response at various modified designs. The proposed method is feasible after overcoming the defection of irreversibility of the characteristic matrix. Numerical examples show that it is easy to implement the computational procedure, and the method presented in this paper is efficient for the general linear vibration damped systems with repeated frequencies. |
| format | Article |
| id | doaj-art-cb4e644c48f14eecbd3701fe40976da7 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-cb4e644c48f14eecbd3701fe40976da72025-02-03T05:47:35ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/810147810147Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated FrequenciesShijia Zhao0Tao Xu1Guikai Guo2Wei Zhang3Dongkai Liu4College of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaCollege of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaCollege of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaCollege of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaCollege of Mechanical Science and Engineering, Jilin University, Changchun 130022, ChinaDerivatives of eigenvectors with respect to structural parameters play an important role in structural design, identification, and optimization. Particularly, calculation of eigenvector sensitivity is considered when the eigenvalues are repeated. A relaxation factor embedded in the combined approximations (CA) method makes it effective to the structural response at various modified designs. The proposed method is feasible after overcoming the defection of irreversibility of the characteristic matrix. Numerical examples show that it is easy to implement the computational procedure, and the method presented in this paper is efficient for the general linear vibration damped systems with repeated frequencies.http://dx.doi.org/10.1155/2013/810147 |
| spellingShingle | Shijia Zhao Tao Xu Guikai Guo Wei Zhang Dongkai Liu Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies Journal of Applied Mathematics |
| title | Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies |
| title_full | Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies |
| title_fullStr | Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies |
| title_full_unstemmed | Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies |
| title_short | Efficient Procedures of Sensitivity Analysis for Structural Vibration Systems with Repeated Frequencies |
| title_sort | efficient procedures of sensitivity analysis for structural vibration systems with repeated frequencies |
| url | http://dx.doi.org/10.1155/2013/810147 |
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