Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator
In this paper, experimental waveforms of the bifurcation phenomena in a Duffing oscillator weakly damped by viscous friction. The bifurcation points are found by solving the numerical solution of a harmonically linearized system with respect to the square of the frequency and the square of the am...
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| Format: | Article |
| Language: | English |
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Omsk State Technical University, Federal State Autonomous Educational Institution of Higher Education
2024-10-01
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| Series: | Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение" |
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| Online Access: | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2024/%D0%A2.8,%20%E2%84%963%20(%D0%90%D0%A0%D0%B8%D0%AD%D0%9C)/13-20%20%D0%9A%D0%B0%D0%BB%D0%B0%D1%88%D0%BD%D0%B8%D0%BA%D0%BE%D0%B2%20%D0%91.%20%D0%90.,%20%D0%91%D0%BE%D1%85%D0%B0%D0%BD%20%D0%92.%20%D0%92.,%20%D0%A1%D0%BC%D0%BE%D0%BB%D0%BA%D0%BE%20%D0%92.%20%D0%95..pdf |
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| _version_ | 1850156924440412160 |
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| author | B. A. Kalashnikov V. V. Bokhan V. E. Smolko |
| author_facet | B. A. Kalashnikov V. V. Bokhan V. E. Smolko |
| author_sort | B. A. Kalashnikov |
| collection | DOAJ |
| description | In this paper, experimental waveforms of the bifurcation phenomena in a Duffing oscillator weakly
damped by viscous friction. The bifurcation points are found by solving the numerical solution of
a harmonically linearized system with respect to the square of the frequency and the square of the
amplitude. Approximate dimensionless expressions for amplitudes and their corresponding frequencies
at the bifurcation points are proposed. The comparison of experimental and theoretical amplitudefrequency characteristics and their values at these points is given. |
| format | Article |
| id | doaj-art-32be99ca72ed48508aa4b1b40fd9acb4 |
| institution | OA Journals |
| issn | 2588-0373 2587-764X |
| language | English |
| publishDate | 2024-10-01 |
| publisher | Omsk State Technical University, Federal State Autonomous Educational Institution of Higher Education |
| record_format | Article |
| series | Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение" |
| spelling | doaj-art-32be99ca72ed48508aa4b1b40fd9acb42025-08-20T02:24:19ZengOmsk State Technical University, Federal State Autonomous Educational Institution of Higher EducationОмский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение"2588-03732587-764X2024-10-0183132010.25206/2588-0373-2024-8-3-13-20Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillatorB. A. Kalashnikov0https://orcid.org/0000-0002-9946-3480V. V. Bokhan1https://orcid.org/0000-0003-0690-381XV. E. Smolko2Omsk State Technical UniversityOmsk State Technical University; JSC «Federal Research and Production Center «Progress»Omsk State Technical UniversityIn this paper, experimental waveforms of the bifurcation phenomena in a Duffing oscillator weakly damped by viscous friction. The bifurcation points are found by solving the numerical solution of a harmonically linearized system with respect to the square of the frequency and the square of the amplitude. Approximate dimensionless expressions for amplitudes and their corresponding frequencies at the bifurcation points are proposed. The comparison of experimental and theoretical amplitudefrequency characteristics and their values at these points is given.https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2024/%D0%A2.8,%20%E2%84%963%20(%D0%90%D0%A0%D0%B8%D0%AD%D0%9C)/13-20%20%D0%9A%D0%B0%D0%BB%D0%B0%D1%88%D0%BD%D0%B8%D0%BA%D0%BE%D0%B2%20%D0%91.%20%D0%90.,%20%D0%91%D0%BE%D1%85%D0%B0%D0%BD%20%D0%92.%20%D0%92.,%20%D0%A1%D0%BC%D0%BE%D0%BB%D0%BA%D0%BE%20%D0%92.%20%D0%95..pdfduffing oscillatordegree of nonlinearityharmonic linearizationrelative attenuation coefficientamplitude-frequency responseamplitude and frequency of bifurcation pointsjump points |
| spellingShingle | B. A. Kalashnikov V. V. Bokhan V. E. Smolko Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator Омский научный вестник: Серия "Авиационно-ракетное и энергетическое машиностроение" duffing oscillator degree of nonlinearity harmonic linearization relative attenuation coefficient amplitude-frequency response amplitude and frequency of bifurcation points jump points |
| title | Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator |
| title_full | Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator |
| title_fullStr | Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator |
| title_full_unstemmed | Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator |
| title_short | Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator |
| title_sort | experimental and theoretical study of the features of the amplitude frequency response features of the anharmonic duffing oscillator |
| topic | duffing oscillator degree of nonlinearity harmonic linearization relative attenuation coefficient amplitude-frequency response amplitude and frequency of bifurcation points jump points |
| url | https://www.omgtu.ru/general_information/media_omgtu/journal_of_omsk_research_journal/files/arhiv/2024/%D0%A2.8,%20%E2%84%963%20(%D0%90%D0%A0%D0%B8%D0%AD%D0%9C)/13-20%20%D0%9A%D0%B0%D0%BB%D0%B0%D1%88%D0%BD%D0%B8%D0%BA%D0%BE%D0%B2%20%D0%91.%20%D0%90.,%20%D0%91%D0%BE%D1%85%D0%B0%D0%BD%20%D0%92.%20%D0%92.,%20%D0%A1%D0%BC%D0%BE%D0%BB%D0%BA%D0%BE%20%D0%92.%20%D0%95..pdf |
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