Features of using the main criterion of the FDD method in identifying the dynamic characteristics of structures

This publication continues the series of articles devoted to the Frequency Domain Decomposition (FDD) method that serves to identify the dynamic characteristics of structures (natural frequencies and forms of natural vibrations) from the vibration tests data without using vibroexcitation. The method...

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Main Authors: Andrianova Elena, Boldyrev Yury
Format: Article
Language:English
Published: Peter the Great St.Petersburg Polytechnic University 2025-03-01
Series:St. Petersburg Polytechnical University Journal: Physics and Mathematics
Subjects:
Online Access:https://physmath.spbstu.ru/article/2025.78.05/
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author Andrianova Elena
Boldyrev Yury
author_facet Andrianova Elena
Boldyrev Yury
author_sort Andrianova Elena
collection DOAJ
description This publication continues the series of articles devoted to the Frequency Domain Decomposition (FDD) method that serves to identify the dynamic characteristics of structures (natural frequencies and forms of natural vibrations) from the vibration tests data without using vibroexcitation. The method is based on the SV-decomposition of the cross-spectral density matrix (CSDM) of the measured signals. The proof of the possibility of using the FDD for an incomplete CSDM was given, such matrices being typical when working with large-sized structures. In this case, vibration tests include two types of measurements: continuous long-term ones taking at one or more selected reference points and consecutive short ones at other measuring points. The presented results may be useful in the operation of large concrete dams and other hydraulic structures to identify their dynamic characteristics.
format Article
id doaj-art-b07955715bac4d53bfda49b10bf3b806
institution Kabale University
issn 2405-7223
language English
publishDate 2025-03-01
publisher Peter the Great St.Petersburg Polytechnic University
record_format Article
series St. Petersburg Polytechnical University Journal: Physics and Mathematics
spelling doaj-art-b07955715bac4d53bfda49b10bf3b8062025-08-20T03:44:35ZengPeter the Great St.Petersburg Polytechnic UniversitySt. Petersburg Polytechnical University Journal: Physics and Mathematics2405-72232025-03-0118110.18721/JPM.1810520714726Features of using the main criterion of the FDD method in identifying the dynamic characteristics of structuresAndrianova Elena0https://orcid.org/0000-0001-9199-6875Boldyrev Yury1https://orcid.org/0000-0002-9249-2158“B.E. Vedeneev VNIIG”, JSCPeter the Great St. Petersburg Polytechnic UniversityThis publication continues the series of articles devoted to the Frequency Domain Decomposition (FDD) method that serves to identify the dynamic characteristics of structures (natural frequencies and forms of natural vibrations) from the vibration tests data without using vibroexcitation. The method is based on the SV-decomposition of the cross-spectral density matrix (CSDM) of the measured signals. The proof of the possibility of using the FDD for an incomplete CSDM was given, such matrices being typical when working with large-sized structures. In this case, vibration tests include two types of measurements: continuous long-term ones taking at one or more selected reference points and consecutive short ones at other measuring points. The presented results may be useful in the operation of large concrete dams and other hydraulic structures to identify their dynamic characteristics.https://physmath.spbstu.ru/article/2025.78.05/decomposition in frequency domaindynamic characteristicsmatrix of mutual spectral densities
spellingShingle Andrianova Elena
Boldyrev Yury
Features of using the main criterion of the FDD method in identifying the dynamic characteristics of structures
St. Petersburg Polytechnical University Journal: Physics and Mathematics
decomposition in frequency domain
dynamic characteristics
matrix of mutual spectral densities
title Features of using the main criterion of the FDD method in identifying the dynamic characteristics of structures
title_full Features of using the main criterion of the FDD method in identifying the dynamic characteristics of structures
title_fullStr Features of using the main criterion of the FDD method in identifying the dynamic characteristics of structures
title_full_unstemmed Features of using the main criterion of the FDD method in identifying the dynamic characteristics of structures
title_short Features of using the main criterion of the FDD method in identifying the dynamic characteristics of structures
title_sort features of using the main criterion of the fdd method in identifying the dynamic characteristics of structures
topic decomposition in frequency domain
dynamic characteristics
matrix of mutual spectral densities
url https://physmath.spbstu.ru/article/2025.78.05/
work_keys_str_mv AT andrianovaelena featuresofusingthemaincriterionofthefddmethodinidentifyingthedynamiccharacteristicsofstructures
AT boldyrevyury featuresofusingthemaincriterionofthefddmethodinidentifyingthedynamiccharacteristicsofstructures