Journal ArticleDOI
Characterization of MEMS Resonator Nonlinearities Using the Ringdown Response
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TLDR
In this paper, the coefficients of conservative and dissipative nonlinearities of a single-mode vibration of symmetric micromechanical resonators were derived from the ringdown response.Abstract:
We present a technique for estimation of the model parameters for a single-mode vibration of symmetric micromechanical resonators, including the coefficients of conservative and dissipative nonlinearities. The nonlinearities result in an amplitude-dependent frequency and a nonexponential decay, which are characterized from the ringdown response. An analysis of the amplitude of the ringdown response allows one to estimate the linear damping constant and the dissipative nonlinearity, and the zero-crossing points in the ringdown measurement can be used for characterization of the linear natural frequency and the Duffing and quintic nonlinearities of the vibrational mode, which arise from a combination of mechanical and electrostatic effects. [2015-0263]read more
Citations
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Journal ArticleDOI
Energy-dependent path of dissipation in nanomechanical resonators
Johannes Güttinger,Adrien Noury,P. Weber,Axel Martin Eriksson,Camille Lagoin,Joel Moser,Christopher Eichler,Andreas Wallraff,Andreas Isacsson,Adrian Bachtold +9 more
TL;DR: New possibilities to manipulate vibrational states, engineer hybrid states with mechanical modes at completely different frequencies, and to study the collective motion of this highly tunable system are opened up.
Journal ArticleDOI
Direct observation of coherent energy transfer in nonlinear micromechanical oscillators.
TL;DR: In this paper, the authors demonstrate a dissipation engineering strategy that can support stable oscillations without supplying external energy to compensate losses, by exploiting the nonlinear dynamic response of microelectromechanical oscillators to couple two vibrational modes through an internal resonance.
Journal ArticleDOI
Direct Detection of Akhiezer Damping in a Silicon MEMS Resonator.
Janna Rodriguez,Saurabh A. Chandorkar,Christopher A. Watson,Grant M. Glaze,Chae Hyuck Ahn,Eldwin J. Ng,Yushi Yang,Thomas W. Kenny +7 more
TL;DR: Measurements of the quality factor, Q, for a family of single crystal silicon Lamé-mode resonators as a function of temperature are presented, providing the first clear, direct detection of Akhiezer dissipation in a MEMS resonator, which is widely considered to be the ultimate limit to Q in silicon MEMS devices.
Journal ArticleDOI
Anomalous Decay of Nanomechanical Modes Going Through Nonlinear Resonance.
TL;DR: It is demonstrated the possibility of a strongly nonmonotonic dependence of the decay rate on the amplitude if one of the modes serves as a thermal reservoir for another mode, so that their amplitude-dependent frequencies become commensurate.
References
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Book
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TL;DR: This work discusseschronization of complex dynamics by external forces, which involves synchronization of self-sustained oscillators and their phase, and its applications in oscillatory media and complex systems.
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Single spin detection by magnetic resonance force microscopy
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Phase noise in oscillators: a unifying theory and numerical methods for characterization
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Single spin detection by magnetic resonance force microscopy
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