Study of the non-linear dynamics of micro-resonators based on a Sn-whisker in vacuum and at mK temperatures

• Main Authors: Človečko, Marcel, Skyba, Peter, Vavrek, František
• Format: Journal Article
• Language: English
• Published: 20-07-2018
• Subjects: Physics - Applied Physics; Physics - Mesoscale and Nanoscale Physics
• DOI: 10.48550/arxiv.1807.07798

The dynamics of micro-resonators (or any mechanical resonators) can be
studied by two complementary methods allowing the measurements in two different
domains: (i) in the frequency domain - by the frequency sweeps using
cw-excitation, and (ii) in the time domain - by the pulse techniques, when the
free-decay oscillations are investigated. To broaden the knowledge about the
intrinsic mechanical properties of micro-resonators based on a Sn-whisker we
used both methods. We show that the dynamics of the Sn-whisker can be described
by a phenomenological theory of the Duffing oscillator. Furthermore, we present
the results of theoretical analysis based on the Duffing's model provided in
the time and frequency domains, and we show that these results are
qualitatively the same with those measured experimentally.