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Utilization of 2:1 Internal Resonance in Microsystems
Navid Noori1, Atabak Sarrafan2, Farid Golnaraghi3
1School of Mechatronic Systems Engineering, Simon Fraser University, Surrey, BC V5A 1S6, Canada. nnoori@sfu.ca.
Micromachines
|November 15, 2018
Summary
This study explores nonlinear mode coupling in micro-beam resonators using a 2:1 internal resonance. Researchers found that the low-frequency mode can be autoparametrically excited, with damping affecting system performance.
Area of Science:
- Nonlinear Dynamics
- Micro-Electro-Mechanical Systems (MEMS)
- Resonant Systems
Background:
- Nonlinear mode coupling is crucial in micro-resonator design.
- Internal resonances can lead to complex system behaviors.
- Understanding these phenomena is key for advanced MEMS applications.
Purpose of the Study:
- To investigate nonlinear mode coupling at 2:1 internal resonance.
- To analyze the autoparametric excitation of low-frequency modes.
- To examine the influence of damping on micro-resonator performance.
Main Methods:
- Analytical and experimental investigation.
- Development of equations of motion using Lagrange's energy method.
- Application of a two-variable expansion perturbation method.
Main Results:
- A modified micro T-beam structure was proposed and analyzed.
- Autoparametric excitation of the low-frequency mode was observed above a specific excitation amplitude threshold.
- The impact of damping on the system's dynamic behavior was quantified.
Conclusions:
- The study demonstrates controllable nonlinear dynamics in micro-resonators via 2:1 internal resonance.
- Autoparametric excitation offers a mechanism for energy transfer and amplification.
- Damping plays a significant role in modulating the observed nonlinear phenomena.
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