This content will become publicly available on June 25, 2020
Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance
Abstract
Here, 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. In this work, we utilize 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.
- Authors:
-
[1];
[3];
[1]
- Argonne National Lab. (ANL), Lemont, IL (United States)
- Michigan State Univ., East Lansing, MI (United States)
- Ben-Gurion Univ. of the Negev, Beer-Sheva (Israel)
- Florida Inst. of Technology, Melbourne, FL (United States)
- Publication Date:
- Research Org.:
- Argonne National Lab. (ANL), Argonne, IL (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- OSTI Identifier:
- 1570436
- Alternate Identifier(s):
- OSTI ID: 1529407
- Grant/Contract Number:
- AC02-06CH11357
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Applied Physics Letters
- Additional Journal Information:
- Journal Volume: 114; Journal Issue: 25; Journal ID: ISSN 0003-6951
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 42 ENGINEERING
Citation Formats
Czaplewski, David A., Strachan, Scott, Shoshani, Oriel, Shaw, Steven W., and López, Daniel. Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance. United States: N. p., 2019.
Web. doi:10.1063/1.5099459.
Czaplewski, David A., Strachan, Scott, Shoshani, Oriel, Shaw, Steven W., & López, Daniel. Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance. United States. doi:10.1063/1.5099459.
Czaplewski, David A., Strachan, Scott, Shoshani, Oriel, Shaw, Steven W., and López, Daniel. Tue .
"Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance". United States. doi:10.1063/1.5099459.
@article{osti_1570436,
title = {Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance},
author = {Czaplewski, David A. and Strachan, Scott and Shoshani, Oriel and Shaw, Steven W. and López, Daniel},
abstractNote = {Here, 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. In this work, we utilize 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.},
doi = {10.1063/1.5099459},
journal = {Applied Physics Letters},
number = 25,
volume = 114,
place = {United States},
year = {2019},
month = {6}
}
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This content will become publicly available on June 25, 2020
Publisher's Version of Record
DOI: 10.1063/1.5099459
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Works referenced in this record:
A hybrid on-chip optomechanical transducer for ultrasensitive force measurements
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- Nature Nanotechnology, Vol. 7, Issue 8, p. 509-514