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Published August 2019 | Published
Journal Article Open

What is the oscillation amplitude of a vibrating cantilever?

Abstract

Resonant amplification of vibrational amplitude underpins the application of nanomechanical sensors. For cantilever sensors, this amplification is widely reported to be equal to the sensor's quality factor, which strongly underestimates its true value. Here, we present a simple analytical formula for this amplification factor, valid for three-dimensional resonators of arbitrary shape, that will find utility in practice.

Copyright and License

© 2019 Author(s). Published under license by AIP Publishing.

Acknowledgement

The author gratefully acknowledges support from the Australian Research Council Centre of Excellence in Exciton Science (Grant No. CE170100026) and the Australian Research Council Grants Scheme.

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Created:
October 10, 2023
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October 10, 2023