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Title of Journal: Acta Mech

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Abbravation: Acta Mechanica

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Springer Vienna

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DOI

10.1016/0197-4580(94)93010-4

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1619-6937

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Highorder subharmonic parametric resonance of mul

Authors: J Zhu C Q Ru A Mioduchowski
Publish Date: 2009/10/13
Volume: 212, Issue: 1-2, Pages: 69-81
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Abstract

Highorder subharmonic parametric resonance of coupled microbeams is studied based on a model of multiple nonlinearly coupled micromechanical nonlinear oscillators Of particular interest are the effects of nonlinear coupling between adjacent oscillators and elastic nonlinearity of individual oscillators First we analyze parametric resonance of a nonlinearly coupled nonlinear oscillator and conduct instability analysis of steadystate solutions Then we study parametric resonance of three nonlinearly coupled nonlinear oscillators It is found that the nonlinear coupling between adjacent oscillators leads to the appearance of highorder subharmonic parametric resonance which to the best of our knowledge has received little attention in previous related works In the present analysis the effects of elastic nonlinearity of individual oscillators damping and some loading parameters such as dc and ac voltages on highorder subharmonics are also examined in detail Our results suggest that the range of excitation frequency for parametric resonance of coupled oscillators can be much larger than what the previous studies predicted due to the appearance of highorder subharmonic parametric resonance These results are believed to offer new and interesting insights into the ongoing research on nonlinear dynamics of coupled microbeams or nanobeams in MEMS or NEMS

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