Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator

Authors

DOI:

https://doi.org/10.25206/2588-0373-2024-8-3-13-20

Keywords:

Duffing oscillator, degree of nonlinearity, harmonic linearization, relative attenuation coefficient, amplitude-frequency response, amplitude and frequency of bifurcation points, jump points

Abstract

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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Author Biographies

Kalashnikov Boris Aleksandrovich, Omsk State Technical University, Russia, Omsk, Mira Ave., 11, 644050

Doctor of Technical Sciences, Associate Professor, Professor of Aircraft and Rocket Building Department, Omsk State Technical University (OmSTU), Omsk

Bokhan Vladimir Victorovich, Omsk State Technical University, Russia, Omsk, Mira Ave., 11, 644050

Senior Lecturer of Fundamentals of Mechanics Theory and Automatic Control Department, OmSTU, Omsk; Senior Researcher, JSC «Federal Research and Production Center «Progress», Omsk.

Smolko Valeria Evgenyevna, Omsk State Technical University, Russia, Omsk, Mira Ave., 11, 644050

Undergraduate, gr. СМм-241 of Transport, Oil and Gas Faculty, OmSTU, Omsk.

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Abstract views: 10

Published

2024-10-30

How to Cite

Kalashnikov Б. А., Bokhan В. В., & Smolko В. Е. (2024). Experimental and theoretical study of the features of the amplitude-frequency response features of the anharmonic Duffing oscillator. Omsk Scientific Bulletin. Series «Aviation-Rocket and Power Engineering», 8(3), 13–20. https://doi.org/10.25206/2588-0373-2024-8-3-13-20

Issue

Vol. 8 No. 3 (2024)

Section

Power and chemical engineering

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Non-exclusive rights to the article are transferred to the journal in full accordance with the Creative Commons License BY-NC-SA 4.0 «Attribution-NonCommercial-ShareAlike 4.0 Worldwide License (CC BY-NC-SA 4.0»)

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