We explore the use of a pedal shaped nonlinear microresonator designed with torsion and flexural modes in 1:2 internal resonance for mass sensing. The higher natural frequency in-plane flexural mode of the resonator is coupled nonlinearly through inertial coupling to the out-of-plane torsional mode with one-half natural frequency. When the flexural mode excited resonantly has response above a threshold, the torsional mode is excited. This response in torsional mode is highly sensitive to any mass perturbation that results in mistuning the two modes away from 1:2 resonance. The mistuning can drastically change the nonlinearly excited torsional response from non-zero amplitude to zero amplitude. The required increase in the actuation strength to reactivate the torsional motion can serve as a measure for the attached mass.
- Design Engineering Division and Computers and Information in Engineering Division
Nonlinear Resonator With Interacting Flexural-Torsional Modes for Mass Sensing
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Vyas, A, Bajaj, AK, & Peroulis, D. "Nonlinear Resonator With Interacting Flexural-Torsional Modes for Mass Sensing." Proceedings of the ASME 2007 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 1: 21st Biennial Conference on Mechanical Vibration and Noise, Parts A, B, and C. Las Vegas, Nevada, USA. September 4–7, 2007. pp. 967-973. ASME. https://doi.org/10.1115/DETC2007-35117
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