Research output: Contribution to journal › Article › peer-review
Self-Oscillating Mode of a Nanoresonator. / Indeitsev, D. A.; Loboda, O. S.; Morozov, N. F.; Skubov, D. Yu; Shtukin, L. V.
In: Physical Mesomechanics, Vol. 21, No. 3, 01.05.2018, p. 203-207.Research output: Contribution to journal › Article › peer-review
}
TY - JOUR
T1 - Self-Oscillating Mode of a Nanoresonator
AU - Indeitsev, D. A.
AU - Loboda, O. S.
AU - Morozov, N. F.
AU - Skubov, D. Yu
AU - Shtukin, L. V.
N1 - Publisher Copyright: © 2018, Pleiades Publishing, Ltd. Copyright: Copyright 2018 Elsevier B.V., All rights reserved.
PY - 2018/5/1
Y1 - 2018/5/1
N2 - The paper proposes a new graphene resonator circuit which operates on the principle of a self-oscillator and has no drawbacks typical of nanoresonators as mass detectors and associated with their law quality factor, eigenfrequency errors (measurements from resonance curves), and dependence of quench frequency on oscillation frequency (curves with quenching for nonlinear systems). The proposed circuit represents a self-oscillator comprising an amplifier, a graphene resonator, and a positive feedback loop with a graphene oscillation transducer, and its major advantage is in self-tuning to resonance frequency at slowly varying resonator parameters, compared to oscillation periods. The graphene layer with a conducting substrate beneath it forms a capacitor which is recharged by a dc voltage source as its capacitance varies due to graphene deformation, and the recharge current is an oscillation- dependent signal transmitted from the transducer to the amplifier input. The graphene layer is placed in a magnetic field and is deformed when a current from the amplifier output is passed through. By properly choosing the magnetic field direction and the amplifier gain, it is possible to provide swinging oscillation whose amplitude is limited by the amplifier nonlinearity. For the proposed system we present an electromechanical model, dimensionless equations of motion, and numerical data demonstrating the generation of steady-state oscillations with eigenfrequency. Also presented is an analysis showing that the system can have only one limit cycle and that this cycle is always stable. The proposed resonator circuit can be used as a mass detector which determines the added mass from a change in self-oscillation frequency.
AB - The paper proposes a new graphene resonator circuit which operates on the principle of a self-oscillator and has no drawbacks typical of nanoresonators as mass detectors and associated with their law quality factor, eigenfrequency errors (measurements from resonance curves), and dependence of quench frequency on oscillation frequency (curves with quenching for nonlinear systems). The proposed circuit represents a self-oscillator comprising an amplifier, a graphene resonator, and a positive feedback loop with a graphene oscillation transducer, and its major advantage is in self-tuning to resonance frequency at slowly varying resonator parameters, compared to oscillation periods. The graphene layer with a conducting substrate beneath it forms a capacitor which is recharged by a dc voltage source as its capacitance varies due to graphene deformation, and the recharge current is an oscillation- dependent signal transmitted from the transducer to the amplifier input. The graphene layer is placed in a magnetic field and is deformed when a current from the amplifier output is passed through. By properly choosing the magnetic field direction and the amplifier gain, it is possible to provide swinging oscillation whose amplitude is limited by the amplifier nonlinearity. For the proposed system we present an electromechanical model, dimensionless equations of motion, and numerical data demonstrating the generation of steady-state oscillations with eigenfrequency. Also presented is an analysis showing that the system can have only one limit cycle and that this cycle is always stable. The proposed resonator circuit can be used as a mass detector which determines the added mass from a change in self-oscillation frequency.
KW - capacitor recharge
KW - graphene oscillation transducer
KW - graphene resonator
KW - limit cycle
KW - magnetic field
KW - mass detectors
KW - nonlinear amplifier
KW - positive feedback
KW - self-oscillation
KW - stability
UR - http://www.scopus.com/inward/record.url?scp=85049126143&partnerID=8YFLogxK
U2 - 10.1134/S1029959918030037
DO - 10.1134/S1029959918030037
M3 - Article
AN - SCOPUS:85049126143
VL - 21
SP - 203
EP - 207
JO - Physical Mesomechanics
JF - Physical Mesomechanics
SN - 1029-9599
IS - 3
ER -
ID: 75069121