Theoretical justification of natural frequency identification in the FDD (Frequency Domain Decomposition) method
This paper is the first to provide a justification for the main criterion of the Frequency Domain Decomposition (FDD) algorithm based on the singular value decomposition of a spectral measured signals’ density. The algorithm is used for monitoring the structures such as buildings, bridges, dams, to...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Peter the Great St.Petersburg Polytechnic University
2023-03-01
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| Series: | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
| Subjects: | |
| Online Access: | https://physmath.spbstu.ru/article/2023.62.07/ |
| _version_ | 1797846574315864064 |
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| author | Andrianova Elena Novitskii Dmitrii Onischuk Valeriy |
| author_facet | Andrianova Elena Novitskii Dmitrii Onischuk Valeriy |
| author_sort | Andrianova Elena |
| collection | DOAJ |
| description | This paper is the first to provide a justification for the main criterion of the Frequency Domain Decomposition (FDD) algorithm based on the singular value decomposition of a spectral measured signals’ density. The algorithm is used for monitoring the structures such as buildings, bridges, dams, to determine experimentally their state (under operating conditions) without application of vibroexciters. The criterion is used to search for natural frequencies. The justification included the double-ended estimate for the first singular value of the spectral density matrix, the estimate making it possible to prove strictly the criterion's applicability under some fulfilled conditions. |
| first_indexed | 2024-04-09T17:57:12Z |
| format | Article |
| id | doaj.art-be7dd0ad7dc84999bcf206b773e11aa6 |
| institution | Directory Open Access Journal |
| issn | 2405-7223 |
| language | English |
| last_indexed | 2024-04-09T17:57:12Z |
| publishDate | 2023-03-01 |
| publisher | Peter the Great St.Petersburg Polytechnic University |
| record_format | Article |
| series | St. Petersburg Polytechnical University Journal: Physics and Mathematics |
| spelling | doaj.art-be7dd0ad7dc84999bcf206b773e11aa62023-04-14T16:17:48ZengPeter the Great St.Petersburg Polytechnic UniversitySt. Petersburg Polytechnical University Journal: Physics and Mathematics2405-72232023-03-0116110.18721/JPM.1610720714726Theoretical justification of natural frequency identification in the FDD (Frequency Domain Decomposition) methodAndrianova Elena0https://orcid.org/0000-0001-9199-6875Novitskii Dmitrii1Onischuk Valeriy2“B.E. Vedeneev VNIIG”, JSC“B.E. Vedeneev VNIIG”, JSC“B.E. Vedeneev VNIIG”, JSCThis paper is the first to provide a justification for the main criterion of the Frequency Domain Decomposition (FDD) algorithm based on the singular value decomposition of a spectral measured signals’ density. The algorithm is used for monitoring the structures such as buildings, bridges, dams, to determine experimentally their state (under operating conditions) without application of vibroexciters. The criterion is used to search for natural frequencies. The justification included the double-ended estimate for the first singular value of the spectral density matrix, the estimate making it possible to prove strictly the criterion's applicability under some fulfilled conditions.https://physmath.spbstu.ru/article/2023.62.07/frequency domain decompositiondamping coefficientspectral density matrixnatural mode shape and frequency |
| spellingShingle | Andrianova Elena Novitskii Dmitrii Onischuk Valeriy Theoretical justification of natural frequency identification in the FDD (Frequency Domain Decomposition) method St. Petersburg Polytechnical University Journal: Physics and Mathematics frequency domain decomposition damping coefficient spectral density matrix natural mode shape and frequency |
| title | Theoretical justification of natural frequency identification in the FDD (Frequency Domain Decomposition) method |
| title_full | Theoretical justification of natural frequency identification in the FDD (Frequency Domain Decomposition) method |
| title_fullStr | Theoretical justification of natural frequency identification in the FDD (Frequency Domain Decomposition) method |
| title_full_unstemmed | Theoretical justification of natural frequency identification in the FDD (Frequency Domain Decomposition) method |
| title_short | Theoretical justification of natural frequency identification in the FDD (Frequency Domain Decomposition) method |
| title_sort | theoretical justification of natural frequency identification in the fdd frequency domain decomposition method |
| topic | frequency domain decomposition damping coefficient spectral density matrix natural mode shape and frequency |
| url | https://physmath.spbstu.ru/article/2023.62.07/ |
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