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Micromachines 2018, 9(9), 448; https://doi.org/10.3390/mi9090448

Utilization of 2:1 Internal Resonance in Microsystems

School of Mechatronic Systems Engineering, Simon Fraser University, Surrey, BC V5A 1S6, Canada
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Received: 3 August 2018 / Revised: 5 September 2018 / Accepted: 6 September 2018 / Published: 8 September 2018
(This article belongs to the Special Issue Micro-Resonators: The Quest for Superior Performance)
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Abstract

In this paper, the nonlinear mode coupling at 2:1 internal resonance has been studied both analytically and experimentally. A modified micro T-beam structure is proposed, and the equations of motion are developed using Lagrange’s energy method. A two-variable expansion perturbation method is used to describe the nonlinear behavior of the system. It is shown that in a microresonator with 2:1 internal resonance, the low-frequency mode is autoparametrically excited after the excitation amplitude reaches a certain threshold. The effect of damping on the performance of the system is also investigated. View Full-Text
Keywords: 2:1 internal resonance; energy transfer; micromachined resonators; nonlinear modal interactions; perturbation method 2:1 internal resonance; energy transfer; micromachined resonators; nonlinear modal interactions; perturbation method
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).
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Noori, N.; Sarrafan, A.; Golnaraghi, F.; Bahreyni, B. Utilization of 2:1 Internal Resonance in Microsystems. Micromachines 2018, 9, 448.

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