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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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
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" |
| Subjects: | |
| 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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| Summary: | 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. |
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| ISSN: | 2588-0373 2587-764X |