Summary
International Symposium on Nonlinear Theory and Its Applications
2015
Session Number:B4L-F
Session:
Number:B4L-F-2
Linear Response Measurement of Both a Single and an Array of Cantilevers in a High Amplitude Nonlinear State
Masayuki Sato, Yurina Sada, Shoma Shige, Albert J. Sievers,
pp.740-743
Publication Date:2015/12/1
Online ISSN:2188-5079
Summary:
As the bifurcation frequency for the single cantilever is approached the linear response measurement of the frequency shift and peak height of the natural frequency (NF) resonance, which corresponds to a homogeneous solution of a driven nonlinear equation of motion, is in good agreement with analytical calculations for a single Duffing resonator. Linear response measurements also provide information about the bifurcation mechanism for an intrinsic localized mode in a micro-cantilever array. We find that the most prominent structure in the linear response spectrum for the ILM is, again, the NF. When the measured NFs of the two geometrically different nonlinear systems are compared the results are very similar at large amplitudes, including the appearance of nonlinear damping, which grows with increased cantilever amplitude.