NDLI: High-order subharmonic parametric resonance of nonlinearly coupled micromechanical oscillators

Content Provider	Springer Nature Link
Author	Zhu, J. Ru, C. Q. Mioduchowski, A.
Copyright Year	2007
Abstract	This paper studies parametric resonance of coupled micromechanical oscillators under periodically varying nonlinear coupling forces. Different from most of previous related works in which the periodically varying coupling forces between adjacent oscillators are linearized, our work focuses on new physical phenomena caused by the periodically varying nonlinear coupling. Harmonic balance method (HBM) combined with Newton iteration method is employed to find steady-state periodic solutions. Similar to linearly coupled oscillators studied previously, the present model predicts superharmonic parametric resonance and the lower-order subharmonic parametric resonance. On the other hand, the present analysis shows that periodically varying nonlinear coupling considered in the present model does lead to the appearance of high-order subharmonic parametric resonance when the external excitation frequency is a multiple or nearly a multiple (≥3) of one of the natural frequencies of the oscillator system. This remarkable new phenomenon does not appear in the linearly coupled micromechanical oscillators studied previously, and makes the range of exciting resonance frequencies expanded to infinity. In addition, the effect of a linear damping on parametric resonance is studied in detail, and the conditions for the occurrence of the high-order subharmonics with a linear damping are discussed.
Starting Page	411
Ending Page	421
Page Count	11
File Format	PDF
ISSN	14346028
Journal	The European Physical Journal B
Volume Number	58
Issue Number	4
e-ISSN	14346036
Language	English
Publisher	EDP Sciences
Publisher Date	2007-09-22
Publisher Place	Les Ulis
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Condensed Matter Physics Complexity Fluids Solid State Physics and Spectroscopy Superconductivity, Superfluidity, Quantum Fluids
Content Type	Text
Resource Type	Article
Subject	Electronic, Optical and Magnetic Materials Condensed Matter Physics

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