On the generation of frequency combs based on mechanical vibrations of 2D material nanosheets

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Abstract

We study the nonlinear dynamics of a rectangular atomically thin nanostrip under conditions of internal combinational resonance between two transverse and one longitudinal modes of mechanical vibrations. Conditions have been analytically found for the initial pretension of the layer required to realize resonance between eigenforms with given indices of variability along the length. It is shown that under conditions of internal resonance, a nonlinear mode of free oscillations is excited in the system, the spectrum of which has the form of a frequency comb. Two qualitatively different types of oscillations of this kind are identified – those caused by the initial excitation in the working longitudinal form of oscillations and in two transverse forms. A significant dependence of the spectral composition of the generated frequency combs on the relationships between the amplitudes of the initial disturbance for the three interacting modes and on the value of the internal frequency detuning parameter of the system is shown.

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About the authors

А. V. Lukin

Peter the Great St. Petersburg Polytechnic University

Author for correspondence.
Email: lukin_av@spbstu.ru
Russian Federation, Saint-Petersburg

I. A. Popov

Peter the Great St. Petersburg Polytechnic University

Email: lukin_av@spbstu.ru
Russian Federation, Saint-Petersburg

O. V. Privalova

Peter the Great St. Petersburg Polytechnic University

Email: lukin_av@spbstu.ru
Russian Federation, Saint-Petersburg

L. V. Shtukin

Peter the Great St. Petersburg Polytechnic University

Email: lukin_av@spbstu.ru
Russian Federation, Saint-Petersburg

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Supplementary files

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2. Fig. 1. Model of a pre-stretched nanolayer.

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3. Fig. 2. Layer tension required to implement internal combination resonance.

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4. Fig. 3. Pulsation mode at initial excitation according to the longitudinal oscillation mode.

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5. Fig. 4. Spectrogram of oscillations with changes in layer tension.

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Note

Presented by Academician of the RAS N.F. Morozov


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