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A Simple Bimodular Nonlinear Element
Lomonosov Moscow State University, RUS.
Blekinge Institute of Technology, Faculty of Engineering, Department of Mechanical Engineering.
2018 (English)In: Acoustical Physics, ISSN 1063-7710, E-ISSN 1562-6865, Vol. 64, no 3, p. 293-298Article in journal (Refereed) Published
Abstract [en]

We have studied the dynamics of an artificial nonlinear element representing a flexible membrane with oscillation limiters and a static pressing force. Such an element has the property of “bimodularity” and demonstrates “modular” nonlinearity. We have constructed a mathematical model that describes these oscillations. Their shapes have been calculated. We follow the analogy with a classical object—Galileo’s pendulum. We demonstrate that for a low-frequency excitation of the membrane, the level of the harmonics in the spectrum is higher than in the vicinity of the resonance frequency. We have established a strong dependence of the level of the harmonics on the magnitude of the pressing force for a weak perturbation. We propose a design scheme for a device in the quasi-static approximation possessing the property of bimodularity. We perform an experiment that confirms its operability. We show a qualitative coincidence of the experimental results and calculations when detecting an amplitude-modulated signal. © 2018, Pleiades Publishing, Ltd.

Place, publisher, year, edition, pages
Pleiades Publishing , 2018. Vol. 64, no 3, p. 293-298
Keywords [en]
artificial nonlinear element, detection of acoustic oscillations, generation of harmonics, modular nonlinearity, Acoustics, Physics, Acoustic oscillation, Amplitude modulated signals, Nonlinear elements, Quasistatic approximations, Resonance frequencies, Strong dependences, Harmonic analysis
National Category
Other Mechanical Engineering
Identifiers
URN: urn:nbn:se:bth-16633DOI: 10.1134/S1063771018020112ISI: 000434472200005Scopus ID: 2-s2.0-85048219221OAI: oai:DiVA.org:bth-16633DiVA, id: diva2:1227961
Available from: 2018-06-27 Created: 2018-06-27 Last updated: 2018-06-29Bibliographically approved

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Rudenko, Oleg

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  • apa
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