TY - JOUR
T1 - Internal resonance in coupled oscillators – Part I
T2 - A double amplification mass sensing scheme without Duffing nonlinearity
AU - Xia, Cao
AU - Wang, Dong F.
AU - Ono, Takahito
AU - Itoh, Toshihiro
AU - Esashi, Masayoshi
N1 - Funding Information:
This work is partially supported by the National Natural Science Foundation of China (Grant No. 51975250 , Grant No. 51675229 ). Part of this work is also financially supported by Scientific Research Foundation for Leading Professor Program of Jilin University (Grant No. 419080500171 and No. 419080500264) and Graduate Innovation Fund of Jilin University (Grant No. 101832020CX101).
Publisher Copyright:
© 2021 Elsevier Ltd
PY - 2021/10
Y1 - 2021/10
N2 - This paper, the first of two companion papers, mainly reports a double amplification scheme for mass sensitivity, via a differential phenomenon in various non-Duffing internal resonance systems with even power nonlinearities and coupling. Both frequency sum and amplitude difference of the two symmetrical peaks, in response amplitude of the basic mode, are capable of differentially amplifying the sensitivity as well as greatly suppressing the effect of noise caused by driving amplitude fluctuation. Combining frequency up-conversion to further amplify the sensitivity, double amplified mass sensitivity is thus achieved via frequency shift. Magnetically coupled orthogonal beams with a frequency ratio of two to one, is adopted as an example for both theoretical and experimental demonstration. Experimental results show effect of driving voltage fluctuating in the range of 200 mV to 600 mV is reduced by 360%, as well as the sensitivity for mass perturbation in the range of 0 g to 10 g is 332% amplified. Lower driving threshold and wider sensing range are further obtained through adjusting modal damping. Compared to those based on synchronization or internal resonance under the same frequency ratios, the proposed amplification scheme, not only enhances the mass sensitivity up to about 166%, but also suppresses the effect of driving amplitude fluctuation down to about 27.8%, indicating a potential possibility to break through the sensing limit.
AB - This paper, the first of two companion papers, mainly reports a double amplification scheme for mass sensitivity, via a differential phenomenon in various non-Duffing internal resonance systems with even power nonlinearities and coupling. Both frequency sum and amplitude difference of the two symmetrical peaks, in response amplitude of the basic mode, are capable of differentially amplifying the sensitivity as well as greatly suppressing the effect of noise caused by driving amplitude fluctuation. Combining frequency up-conversion to further amplify the sensitivity, double amplified mass sensitivity is thus achieved via frequency shift. Magnetically coupled orthogonal beams with a frequency ratio of two to one, is adopted as an example for both theoretical and experimental demonstration. Experimental results show effect of driving voltage fluctuating in the range of 200 mV to 600 mV is reduced by 360%, as well as the sensitivity for mass perturbation in the range of 0 g to 10 g is 332% amplified. Lower driving threshold and wider sensing range are further obtained through adjusting modal damping. Compared to those based on synchronization or internal resonance under the same frequency ratios, the proposed amplification scheme, not only enhances the mass sensitivity up to about 166%, but also suppresses the effect of driving amplitude fluctuation down to about 27.8%, indicating a potential possibility to break through the sensing limit.
KW - Differential internal resonance
KW - Double sensitivity amplification
KW - Frequency multiplication
KW - Magnetic coupled orthogonal beams
KW - Ultimate sensing
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U2 - 10.1016/j.ymssp.2021.107886
DO - 10.1016/j.ymssp.2021.107886
M3 - Article
AN - SCOPUS:85104080806
VL - 159
JO - Mechanical Systems and Signal Processing
JF - Mechanical Systems and Signal Processing
SN - 0888-3270
M1 - 107886
ER -