Bifurcation diagram and dynamic response of a MEMS resonator with a 1:3 internal resonance
- 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)
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.
- Research Organization:
- Argonne National Laboratory (ANL), Argonne, IL (United States)
- Sponsoring Organization:
- USDOE Office of Science (SC); National Science Foundation (NSF)
- Grant/Contract Number:
- AC02-06CH11357
- OSTI ID:
- 1570436
- Alternate ID(s):
- OSTI ID: 1529407
- Journal Information:
- Applied Physics Letters, Vol. 114, Issue 25; ISSN 0003-6951
- Publisher:
- American Institute of Physics (AIP)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Cited by: 34 works
Citation information provided by
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Web of Science
Demonstration of Multiple Internal Resonances in a Microelectromechanical Self-Sustained Oscillator
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