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Micromachines 2018, 9(9), 448;

Utilization of 2:1 Internal Resonance in Microsystems

School of Mechatronic Systems Engineering, Simon Fraser University, Surrey, BC V5A 1S6, Canada
Author to whom correspondence should be addressed.
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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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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Noori, N.; Sarrafan, A.; Golnaraghi, F.; Bahreyni, B. Utilization of 2:1 Internal Resonance in Microsystems. Micromachines 2018, 9, 448.

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