A comparative study of the sensitivity analysis for systems with viscoelastic elements
This paper discusses the different methods used for calculating first- and second-order sensitivity: the direct differentiation method, the adjoint variables method, and the hybrid method. The solutions obtained allow determining the sensitivity of dynamic characteristics such as eigenvalues and eig...
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| Format: | Article |
| Language: | English |
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Polish Academy of Sciences
2023-01-01
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| Series: | Archive of Mechanical Engineering |
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| Online Access: | https://journals.pan.pl/Content/125904/PDF/AME_2023_144077.pdf |
| _version_ | 1797860818755256320 |
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| author | Magdalena Łasecka-Plura |
| author_facet | Magdalena Łasecka-Plura |
| author_sort | Magdalena Łasecka-Plura |
| collection | DOAJ |
| description | This paper discusses the different methods used for calculating first- and second-order sensitivity: the direct differentiation method, the adjoint variables method, and the hybrid method. The solutions obtained allow determining the sensitivity of dynamic characteristics such as eigenvalues and eigenvectors, natural frequencies, and nondimensional damping ratios. The methods were applied for analyzing systems with viscoelastic damping elements, whose behavior can be described by classical and fractional rheological models. However, the derived formulas are general and can also be applied to systems with damping elements described by other models. Their advantage is a compact and easy to code form. The paper also presents a comparison of the computational costs of the discussed methods. The correctness of all the proposed methods has been illustrated with numerical examples. |
| first_indexed | 2024-04-09T21:52:02Z |
| format | Article |
| id | doaj.art-653ad00e77eb4041b9aaaaf9e477fbc0 |
| institution | Directory Open Access Journal |
| issn | 2300-1895 |
| language | English |
| last_indexed | 2024-04-09T21:52:02Z |
| publishDate | 2023-01-01 |
| publisher | Polish Academy of Sciences |
| record_format | Article |
| series | Archive of Mechanical Engineering |
| spelling | doaj.art-653ad00e77eb4041b9aaaaf9e477fbc02023-03-24T14:15:09ZengPolish Academy of SciencesArchive of Mechanical Engineering2300-18952023-01-01vol. 70No 1525https://doi.org/10.24425/ame.2022.144077A comparative study of the sensitivity analysis for systems with viscoelastic elementsMagdalena Łasecka-Plura0https://orcid.org/0000-0002-5229-9361Poznan University of Technology, Institute of Structural Analysis, Poznan, PolandThis paper discusses the different methods used for calculating first- and second-order sensitivity: the direct differentiation method, the adjoint variables method, and the hybrid method. The solutions obtained allow determining the sensitivity of dynamic characteristics such as eigenvalues and eigenvectors, natural frequencies, and nondimensional damping ratios. The methods were applied for analyzing systems with viscoelastic damping elements, whose behavior can be described by classical and fractional rheological models. However, the derived formulas are general and can also be applied to systems with damping elements described by other models. Their advantage is a compact and easy to code form. The paper also presents a comparison of the computational costs of the discussed methods. The correctness of all the proposed methods has been illustrated with numerical examples.https://journals.pan.pl/Content/125904/PDF/AME_2023_144077.pdfsensitivity analysisviscoelastic damping elementsdynamic characteristicsfractional derivatives |
| spellingShingle | Magdalena Łasecka-Plura A comparative study of the sensitivity analysis for systems with viscoelastic elements Archive of Mechanical Engineering sensitivity analysis viscoelastic damping elements dynamic characteristics fractional derivatives |
| title | A comparative study of the sensitivity analysis for systems with viscoelastic elements |
| title_full | A comparative study of the sensitivity analysis for systems with viscoelastic elements |
| title_fullStr | A comparative study of the sensitivity analysis for systems with viscoelastic elements |
| title_full_unstemmed | A comparative study of the sensitivity analysis for systems with viscoelastic elements |
| title_short | A comparative study of the sensitivity analysis for systems with viscoelastic elements |
| title_sort | comparative study of the sensitivity analysis for systems with viscoelastic elements |
| topic | sensitivity analysis viscoelastic damping elements dynamic characteristics fractional derivatives |
| url | https://journals.pan.pl/Content/125904/PDF/AME_2023_144077.pdf |
| work_keys_str_mv | AT magdalenałaseckaplura acomparativestudyofthesensitivityanalysisforsystemswithviscoelasticelements AT magdalenałaseckaplura comparativestudyofthesensitivityanalysisforsystemswithviscoelasticelements |