DEPARTAMENTO SISTEMAS COMPLEJOS Y ALTAS ENERGÍAS

URI permanente para esta comunidad

https://nuclea.cnea.gob.ar/handle/20.500.12553/5208

Examinar

Examinando DEPARTAMENTO SISTEMAS COMPLEJOS Y ALTAS ENERGÍAS por Autor "Arroyo, Sebastián Ismael"

Mostrando 1 - 2 de 2
  • Miniatura
    ÍtemAcceso Abierto
    Duffing revisited: Phase-shift control and internal resonance in self-sustained oscillators
    (Springer, 2016-01-20) Arroyo, Sebastián Ismael; Zanette, Damian Horacio
    We address two aspects of the dynamics of the forced Duffing oscillator which are relevant to the technology of micromechanical devices and, at the same time, have intrinsic significance to the field of nonlinear oscillating systems. First, we study the stability of periodic motion when the phase shift between the external force and the oscillation is controlled-contrary to the standard case, where the control parameter is the frequency of the force. Phase-shift control is the operational configuration under which self-sustained oscillators-and, in particular, micromechanical oscillators-provide a frequency reference useful for time keeping. We show that, contrary to the standard forced Duffing oscillator, under phaseshift control oscillations are stable over the whole resonance curve, and provide analytical approximate expressions for the time dependence of the oscillation amplitude and frequency during transients. Second, we analyze a model for the internal resonance between the main Duffing oscillation mode and a higherharmonic mode of a vibrating solid bar clamped at its two ends. We focus on the stabilization of the oscillation frequency when the resonance takes place, and present preliminary experimental results that illustrate the phenomenon. This synchronization process has been proposed to counteract the undesirable frequency-amplitude interdependence in nonlinear time-keeping micromechanical devices.
  • Miniatura
    ÍtemAcceso Abierto
    Synchronization properties of self-sustained mechanical oscillators
    (Amer Physical Soc, 2013-05) Arroyo, Sebastián Ismael; Zanette, Damian Horacio
    We study, both analytically and numerically, the dynamics of mechanical oscillators kept in motion by a feedback force, which is generated electronically from a signal produced by the oscillators themselves. This kind of self-sustained systems may become standard in the design of frequency-control devices at microscopic scales. Our analysis is thus focused on their synchronization properties under the action of external forces and on the joint dynamics of two to many coupled oscillators. Existence and stability of synchronized motion are assessed in terms of the mechanical properties of individual oscillators, namely, their natural frequencies and damping coefficients, and synchronization frequencies are determined. Similarities and differences with synchronization phenomena in other coupled oscillating systems are emphasized.