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Bifurcation topology tuning of a mixed behavior in nonlinear micromechanical resonators
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10.1063/1.3258654
/content/aip/journal/apl/95/18/10.1063/1.3258654
http://aip.metastore.ingenta.com/content/aip/journal/apl/95/18/10.1063/1.3258654
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(a) Optical microscope image of the device. (b) Predicted forced frequency responses for different designs. is the displacement of the beam normalized by the gap at its middle point and {1, 2, 3, P} are the different bifurcation points. SEM image of the device is shown in the inset.

Image of FIG. 2.
FIG. 2.

Analytical and experimental frequency curves showing a mixed behavior and the followed paths respectively in a sweep up frequency and a sweep down frequency . are the four jumps cauterizing a typical mixed behavior of MEMS and NEMS resonators, {1, 2, 3, P} are the different bifurcation points and are the destination points after jumps. The two branches [3, P] and [1, 2] in dashed lines are unstable.

Image of FIG. 3.
FIG. 3.

Analytical frequency responses showing mixed behaviors, the location of the different bifurcation points and the effect of the dc voltage on the stability of the different branches and the P point location.

Image of FIG. 4.
FIG. 4.

Resonance frequency responses showing mixed behaviors experimentally measured, the location of the bifurcation points, the effect of the dc voltage on the stability of the different branches and the P point vertical position. HD and SD are, respectively, the hardening and the softening domains. The point 3 is the highest bifurcation point in the softening domain.

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/content/aip/journal/apl/95/18/10.1063/1.3258654
2009-11-04
2014-04-17
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Bifurcation topology tuning of a mixed behavior in nonlinear micromechanical resonators
http://aip.metastore.ingenta.com/content/aip/journal/apl/95/18/10.1063/1.3258654
10.1063/1.3258654
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