Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance

被引：51

作者：

Czaplewski, David A. ^{[1
]}

Strachan, Scott ^{[2
]}

Shoshani, Oriel ^{[3
]}

Shaw, Steven W. ^{[4
]}

Lopez, Daniel ^{[1
]}

机构：

[1] Argonne Natl Lab, Ctr Nanoscale Mat, Argonne, IL 60439 USA

[2] Michigan State Univ, Dept Mech Engn & Elect Engn, E Lansing, MI 48824 USA

[3] Ben Gurion Univ Negev, Dept Mech Engn, IL-84105 Beer Sheva, Israel

[4] Florida Inst Technol, Dept Mech & Civil Engn, Melbourne, FL 32901 USA

来源：

APPLIED PHYSICS LETTERS | 2019年 / 114卷 / 25期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1063/1.5099459

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

The dynamic response of a nonlinear resonator in the presence of resonant mode coupling is studied experimentally and theoretically. For the case of a clamped-clamped beam resonator in the presence of a 1:3 internal resonance, we show that at the onset of internal resonance, steady state oscillations cannot be sustained. At higher drive levels, stable oscillations can be maintained but the resonator amplitude undergoes amplitude modulated responses. We use these dynamic responses to build a bifurcation diagram that can be described remarkably well with a simple model consisting of a Duffing resonator coupled to a linear one.

引用

页数：4

共 27 条

[1] Frequency stabilization in nonlinear micromechanical oscillators [J].

Antonio, Dario ;

Zanette, Damian H. ;

Lopez, Daniel .

NATURE COMMUNICATIONS, 2012, 3

[2]

Chaste J, 2012, NAT NANOTECHNOL, V7, P300, DOI [10.1038/NNANO.2012.42, 10.1038/nnano.2012.42]

[3] Direct observation of coherent energy transfer in nonlinear micromechanical oscillators [J].

Chen, Changyao ;

Zanette, Damian H. ;

Czaplewski, David A. ;

Shaw, Steven ;

Lopez, Daniel .

NATURE COMMUNICATIONS, 2017, 8

[4] Bifurcation Generated Mechanical Frequency Comb [J].

Czaplewski, David A. ;

Chen, Changyao ;

Lopez, Daniel ;

Shoshani, Oriel ;

Eriksson, Axel M. ;

Strachan, Scott ;

Shaw, Steven W. .

PHYSICAL REVIEW LETTERS, 2018, 121 (24)

[5] Measurement of the Casimir force between dissimilar metals -: art. no. 050402 [J].

Decca, RS ;

López, D ;

Fischbach, E ;

Krause, DE .

PHYSICAL REVIEW LETTERS, 2003, 91 (05)

[6]

Gavartin E, 2012, NAT NANOTECHNOL, V7, P509, DOI [10.1038/nnano.2012.97, 10.1038/NNANO.2012.97]

[7]

Gil-Santos E, 2010, NAT NANOTECHNOL, V5, P641, DOI [10.1038/NNANO.2010.151, 10.1038/nnano.2010.151]

[8]

Güttinger J, 2017, NAT NANOTECHNOL, V12, P631, DOI [10.1038/NNANO.2017.86, 10.1038/nnano.2017.86]

[9]

Hanay MS, 2015, NAT NANOTECHNOL, V10, P339, DOI [10.1038/nnano.2015.32, 10.1038/NNANO.2015.32]

[10] Limit cycles and bifurcations in a nonlinear MEMS resonator with a 1:3 internal resonance [J].

Houri, S. ;

Hatanaka, D. ;

Asano, M. ;

Ohta, R. ;

Yamaguchi, H. .

APPLIED PHYSICS LETTERS, 2019, 114 (10)

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