Nonlinear viscoelastic oscillations of single-mass system at power excitation
Nonlinear oscillations of single-mass system at force excitation of vibration connected with fixed base by weightless viscoelastic spring are considered. To take into account the rheological properties of the spring material, the Boltzmann-Volterr principle was used. Mathematical models of the probl...
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Format: | Article |
Language: | English |
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EDP Sciences
2021-01-01
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Series: | E3S Web of Conferences |
Online Access: | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/60/e3sconf_tpacee2021_02010.pdf |
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author | Noraliev Nurilla Kudaeva Fatimat Khayitboev Karamatilla Kusharov Zokhid Turgunov Abrorjon Yusupova Feruza |
author_facet | Noraliev Nurilla Kudaeva Fatimat Khayitboev Karamatilla Kusharov Zokhid Turgunov Abrorjon Yusupova Feruza |
author_sort | Noraliev Nurilla |
collection | DOAJ |
description | Nonlinear oscillations of single-mass system at force excitation of vibration connected with fixed base by weightless viscoelastic spring are considered. To take into account the rheological properties of the spring material, the Boltzmann-Volterr principle was used. Mathematical models of the problem in question are obtained, which are described by nonlinear integro-differential equations. A solution method based on the use of quadrature formulas has been developed and a computer program has been compiled on its basis, the results of which are reflected in the form of graphs. Influence of nonlinear and rheological properties of spring on amplitude and phase of mass oscillations is investigated. |
first_indexed | 2024-12-21T17:20:39Z |
format | Article |
id | doaj.art-c934a08218a743a485f6f0070da08fe0 |
institution | Directory Open Access Journal |
issn | 2267-1242 |
language | English |
last_indexed | 2024-12-21T17:20:39Z |
publishDate | 2021-01-01 |
publisher | EDP Sciences |
record_format | Article |
series | E3S Web of Conferences |
spelling | doaj.art-c934a08218a743a485f6f0070da08fe02022-12-21T18:56:10ZengEDP SciencesE3S Web of Conferences2267-12422021-01-012840201010.1051/e3sconf/202128402010e3sconf_tpacee2021_02010Nonlinear viscoelastic oscillations of single-mass system at power excitationNoraliev Nurilla0Kudaeva Fatimat1Khayitboev Karamatilla2Kusharov Zokhid3Turgunov Abrorjon4Yusupova Feruza5Tashkent State Agrarian UniversityKabardino-Balkarian State University named after H.M. BerbekovTashkent State Agrarian UniversityTashkent State Agrarian UniversityTashkent State Agrarian UniversityTashkent State Agrarian UniversityNonlinear oscillations of single-mass system at force excitation of vibration connected with fixed base by weightless viscoelastic spring are considered. To take into account the rheological properties of the spring material, the Boltzmann-Volterr principle was used. Mathematical models of the problem in question are obtained, which are described by nonlinear integro-differential equations. A solution method based on the use of quadrature formulas has been developed and a computer program has been compiled on its basis, the results of which are reflected in the form of graphs. Influence of nonlinear and rheological properties of spring on amplitude and phase of mass oscillations is investigated.https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/60/e3sconf_tpacee2021_02010.pdf |
spellingShingle | Noraliev Nurilla Kudaeva Fatimat Khayitboev Karamatilla Kusharov Zokhid Turgunov Abrorjon Yusupova Feruza Nonlinear viscoelastic oscillations of single-mass system at power excitation E3S Web of Conferences |
title | Nonlinear viscoelastic oscillations of single-mass system at power excitation |
title_full | Nonlinear viscoelastic oscillations of single-mass system at power excitation |
title_fullStr | Nonlinear viscoelastic oscillations of single-mass system at power excitation |
title_full_unstemmed | Nonlinear viscoelastic oscillations of single-mass system at power excitation |
title_short | Nonlinear viscoelastic oscillations of single-mass system at power excitation |
title_sort | nonlinear viscoelastic oscillations of single mass system at power excitation |
url | https://www.e3s-conferences.org/articles/e3sconf/pdf/2021/60/e3sconf_tpacee2021_02010.pdf |
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