Investigation of the Amplitude-Frequency Response of a Dam-Type Viscoelastic Body With Steady-State Forced Harmonic Vibrations
The article discusses the amplitude-frequency response of a viscoelastic body of the dam type, under steady-state forced harmonic vibrations. An important factor is the determination of the number of frequencies and resonance peaks that arise in the process of harmonic effect of the water body on th...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Irkutsk State University
2022-03-01
|
| Series: | Известия Иркутского государственного университета: Серия "Математика" |
| Subjects: | |
| Online Access: | https://mathizv.isu.ru/en/article/file?id=1402 |
| _version_ | 1818446103043899392 |
|---|---|
| author | Sultan Gaynazarov Askhad Polatov Akhmat Ikramov Sukhbatulla Pulatov |
| author_facet | Sultan Gaynazarov Askhad Polatov Akhmat Ikramov Sukhbatulla Pulatov |
| author_sort | Sultan Gaynazarov |
| collection | DOAJ |
| description | The article discusses the amplitude-frequency response of a viscoelastic body of the dam type, under steady-state forced harmonic vibrations. An important factor is the determination of the number of frequencies and resonance peaks that arise in the process of harmonic effect of the water body on the dam. The use of the finite element method (FEM) for the numerical solution of dynamic problems allows, by expanding the solution in terms of eigenmodes and frequencies, to reduce the original problem to a system of separated linear integro-differential equations with respect to the sought parameters of generalized functions. The process of the influence of viscoelastic properties of the dam material on the resonance curves that arise under harmonic loads of different frequencies at different dimensions of the foot of the dam is investigated. The analysis of the curves of the amplitude-frequency responses of a dam-type viscoelastic body, under steady-state forced harmonic oscillations, showed that the occurrence of resonance peaks depends on the viscoelastic properties of the dam body and the dimensions of the foot of the dam. The main resonance peaks occur at frequencies less than the sixth eigenfrequency, as a result of which a further increase in the number of eigenmodes in the expansion does not introduce any significant changes in the amplitude of the distribution of resonance curves of the amplitude-frequency response of the dam. |
| first_indexed | 2024-12-14T19:42:24Z |
| format | Article |
| id | doaj.art-4285f20d1a264020ab1a9915850f7975 |
| institution | Directory Open Access Journal |
| issn | 1997-7670 2541-8785 |
| language | English |
| last_indexed | 2024-12-14T19:42:24Z |
| publishDate | 2022-03-01 |
| publisher | Irkutsk State University |
| record_format | Article |
| series | Известия Иркутского государственного университета: Серия "Математика" |
| spelling | doaj.art-4285f20d1a264020ab1a9915850f79752022-12-21T22:49:40ZengIrkutsk State UniversityИзвестия Иркутского государственного университета: Серия "Математика"1997-76702541-87852022-03-013915161https://doi.org/10.26516/1997-7670.2022.39.51Investigation of the Amplitude-Frequency Response of a Dam-Type Viscoelastic Body With Steady-State Forced Harmonic VibrationsSultan GaynazarovAskhad PolatovAkhmat IkramovSukhbatulla PulatovThe article discusses the amplitude-frequency response of a viscoelastic body of the dam type, under steady-state forced harmonic vibrations. An important factor is the determination of the number of frequencies and resonance peaks that arise in the process of harmonic effect of the water body on the dam. The use of the finite element method (FEM) for the numerical solution of dynamic problems allows, by expanding the solution in terms of eigenmodes and frequencies, to reduce the original problem to a system of separated linear integro-differential equations with respect to the sought parameters of generalized functions. The process of the influence of viscoelastic properties of the dam material on the resonance curves that arise under harmonic loads of different frequencies at different dimensions of the foot of the dam is investigated. The analysis of the curves of the amplitude-frequency responses of a dam-type viscoelastic body, under steady-state forced harmonic oscillations, showed that the occurrence of resonance peaks depends on the viscoelastic properties of the dam body and the dimensions of the foot of the dam. The main resonance peaks occur at frequencies less than the sixth eigenfrequency, as a result of which a further increase in the number of eigenmodes in the expansion does not introduce any significant changes in the amplitude of the distribution of resonance curves of the amplitude-frequency response of the dam.https://mathizv.isu.ru/en/article/file?id=1402damviscoelasticityharmonic vibrationsamplituderesonance peaksfem |
| spellingShingle | Sultan Gaynazarov Askhad Polatov Akhmat Ikramov Sukhbatulla Pulatov Investigation of the Amplitude-Frequency Response of a Dam-Type Viscoelastic Body With Steady-State Forced Harmonic Vibrations Известия Иркутского государственного университета: Серия "Математика" dam viscoelasticity harmonic vibrations amplitude resonance peaks fem |
| title | Investigation of the Amplitude-Frequency Response of a Dam-Type Viscoelastic Body With Steady-State Forced Harmonic Vibrations |
| title_full | Investigation of the Amplitude-Frequency Response of a Dam-Type Viscoelastic Body With Steady-State Forced Harmonic Vibrations |
| title_fullStr | Investigation of the Amplitude-Frequency Response of a Dam-Type Viscoelastic Body With Steady-State Forced Harmonic Vibrations |
| title_full_unstemmed | Investigation of the Amplitude-Frequency Response of a Dam-Type Viscoelastic Body With Steady-State Forced Harmonic Vibrations |
| title_short | Investigation of the Amplitude-Frequency Response of a Dam-Type Viscoelastic Body With Steady-State Forced Harmonic Vibrations |
| title_sort | investigation of the amplitude frequency response of a dam type viscoelastic body with steady state forced harmonic vibrations |
| topic | dam viscoelasticity harmonic vibrations amplitude resonance peaks fem |
| url | https://mathizv.isu.ru/en/article/file?id=1402 |
| work_keys_str_mv | AT sultangaynazarov investigationoftheamplitudefrequencyresponseofadamtypeviscoelasticbodywithsteadystateforcedharmonicvibrations AT askhadpolatov investigationoftheamplitudefrequencyresponseofadamtypeviscoelasticbodywithsteadystateforcedharmonicvibrations AT akhmatikramov investigationoftheamplitudefrequencyresponseofadamtypeviscoelasticbodywithsteadystateforcedharmonicvibrations AT sukhbatullapulatov investigationoftheamplitudefrequencyresponseofadamtypeviscoelasticbodywithsteadystateforcedharmonicvibrations |