| Autor: |
Indeitsev, D. A., Igumnova, V. S., Lukin, A. V., Popov, I. A., Shtukin, L. V. |
| Zdroj: |
Vestnik St. Petersburg University: Mathematics; Jun2023, Vol. 56 Issue 2, p212-223, 12p |
| Abstrakt: |
In this work, we study the conditions and scenarios for synchronizing the oscillations of weakly coupled microbeam elements of a differential resonant microelectromechanical systems (MEMS) accelerometer that operates in the dual-loop self-oscillator mode. The model of a system of two Van der Pol self-oscillators with a nonlinear elastic coupling between moving elements, obtained by the Galerkin method, is studied using the multiscale method. The modes of beats and synchronization of oscillations of two resonators are found analytically and numerically, and the boundary between these modes in the space of the system parameters is determined. Along with local bifurcation analysis of the considered steady-state modes, global analysis of the evolution and branching of limit cycles in the space of slow variables is also carried out, which makes it possible to detect zones of coexistence of stable synchronization and beat modes with their basins of attraction. The effect of the factor of the designed or technologically determined nonidentity of the design of two resonators on the location of the parametric zones of synchronization and beats is studied. [ABSTRACT FROM AUTHOR] |
| Databáze: |
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