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Control of primary and subharmonic resonances of a Duffing oscillator via non-linear energy sink |
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| Affiliation: | 1. Institute for Problems in Mechanics, Russian Academy of Sciences, 101 Vernadsky Avenue, bldg 1, 119526 Moscow, Russia;2. Bauman Moscow State Technical University, 5 Second Baumanskaya Street, 105005 Moscow, Russia;3. National Research Nuclear University MEPhI, 31 Kashirskoe Shosse, 115409 Moscow, Russia;4. Cardiff University, Heath Park, Cardiff CF14 4XY, UK;1. National Institute of Aviation Technologies, Russian Federation;2. Faculty of Physics, M.V. Lomonosov Moscow State University, Russian Federation |
| Abstract: | The use of non-linear energy sink to passively control vibrations of a non-linear main structure under the effect of bi-frequency harmonic excitation is addressed here. The excitation is assumed to induce both 1:1 and 1:3 resonance, and the response of the system is studied after using the Multiple Scale/Harmonic Balance Method, applied to obtain amplitude modulation equations in the slow time scale. The efficiency of the non-linear energy sink to reduce or suppress vibrations of the main structure is finally discussed. |
| Keywords: | Non-linear energy sink Sub-harmonic resonance Multiple scale harmonic balance method Non-linear oscillator |
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