Tuning of geometric nonlinearity in ultrathin nanoelectromechanical systems

Samanta, Chandan; Arora, Nishta; Naik, Akshay

doi:10.1063/1.5026775

Cited by 39 publications

(42 citation statements)

References 46 publications

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“…This quadratic term is a consequence of the direction of the static force F which breaks the symmetry 148 of the system, and can significantly alter the dynamics. The presence of quadratic nonlinearities can lead to a combined softening-hardening response 149 , like the ones shown in Fig. 9(c-d).…”

Section: Dynamics In the Presence Of Nonlinear Stiffness And Dampingmentioning

confidence: 83%

Dynamics of 2D Material Membranes

Steeneken,

Dolleman,

Davidovikj

et al. 2021

Preprint

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Section: Dynamics In the Presence Of Nonlinear Stiffness And Dampingmentioning

confidence: 83%

Dynamics of 2D Material Membranes

Steeneken,

Dolleman,

Davidovikj

et al. 2021

Preprint

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“…Several exciting prospects for further investigation of librators are possible. For one, the use of nonlinear resonators with higher order nonlinearity, say quintic nonlinearity [63][64][65], implies the possibility of even more distinct limit cycles and homoclinic bifurcations within the same phase space, which is an outlook of practical and fundamental interest [66][67][68]. Indeed, even in the system presented in this work a rigorous account of the existence and number of limit cycles (both stable and unstable ones) was not fully given, and these questions remain to be addressed on a theoretical and numerical level.…”

Section: Discussionmentioning

confidence: 99%

The Librator: A new dynamical regime for nonlinear microelectromechanical devices

Houri,

Asano,

Okamoto

et al. 2021

Preprint

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We present a novel mode of operation for Duffing-type nonlinear microelectromechanical (MEMS) devices whereby a self-sustained multi-frequency output is generated. This new librator regime creates a limit cycle around a dynamical fixed point, i.e. around fixed points within the rotating frame, whereas a traditional oscillator generates a limit cycle around a static fixed point. The librator limit cycles thus created do not change the global topology of the rotating frame phase space, but are constrained by it. Due to the Duffing nonlinearity different types of limit cycles could be generated within the same phase space, with each type possessing distinct dynamical features. Transitioning between these limit cycles requires crossing homoclinic bifurcations, which is done without generating chaos as the phase space dynamics are two dimensional. This work opens the possibility to the creation of a librator network in analogy with oscillator network, however this can be done in a single MEMS device.

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“…The hysteretic frequency band is controlled by the electrothermal actuation voltage and binary values are assigned to the two allowed dynamical states on the hysteretic response curve. Samanta et al [10] utilize an electrostatic mechanism to tune the geometric nonlinearity of an atomically thin NEMS. Hardening, softening, and mixed nonlinear responses are demonstrated and the cross coupling between quadratic and quartic nonlinearities is examined.…”

Section: Introductionmentioning

confidence: 99%

Internal resonance in the higher-order modes of a MEMS beam: experiments and global analysis

et al. 2021

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This work investigates the dynamics of a microbeam-based MEMS device in the neighborhood of a 2:1 internal resonance between the third and fifth vibration modes. The saturation of the third mode and the concurrent activation of the fifth are observed. The main features are analyzed extensively, both experimentally and theoretically. We experimentally observe that the complexity induced by the 2:1 internal resonance covers a wide driving frequency range. Constantly comparing with the experimental data, the response is examined from a global perspective, by analyzing the attractor-basins scenario. This analysis is conducted both in the thirdmode and fifth-mode planes. We show several metamorphoses occurring as proceeding from the principal resonance to the 2:1 internal resonance, up to the final disappearance of the resonant and non-resonant attractors. The shape and wideness of all the basins are examined. Despite they are progressively eroded, an appreciable region is detected where the compact cores of the attractors involved in the 2:1 internal resonance remain substantial, which allows effectively operating them under realistic conditions. The dynamical integrity of each resonant branch is discussed, especially as approaching the bifurcation points where the system becomes more vulnerable to the dynamic pull-in instability.

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Tuning of geometric nonlinearity in ultrathin nanoelectromechanical systems

Cited by 39 publications

References 46 publications

Dynamics of 2D Material Membranes

Dynamics of 2D Material Membranes

The Librator: A new dynamical regime for nonlinear microelectromechanical devices

Internal resonance in the higher-order modes of a MEMS beam: experiments and global analysis

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