Analysis of the chaotic regime of MEMS/NEMS fixed–fixed beam resonators using an improved 1DOF model

Amorim, Tiago de A.; Dantas, W. G.; Gusso, André

doi:10.1007/s11071-014-1715-4

Cited by 26 publications

(16 citation statements)

References 25 publications

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“…Hence, previous researchers have focused on exploring the phenomena affecting the behavior of micro/nano-resonators. A simple one degree of freedom model for investigating the chaotic regime of electromechanical nano-resonator was presented by Amorim et al (2015). They considered the impacts of the Casimir force in their simulation.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Oscillations of CNT Nano-resonator Based on Nonlocal Elasticity: The Energy Balance Method

Goharimanesh

Koochi

2021

Rep. Mech. Eng.

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This paper deals with investigating the nonlinear oscillation of carbon nanotube manufactured nano-resonator. The governing equation of the nano-resonator is extracted in the context of the nonlocal elasticity. The impact of the Casimir force is also incorporated in the developed model. A closed-form solution based on the energy balance method is presented for investigating the oscillations of the nano-resonator. The proposed closed-form solution is compared with the numerical solution. The impact of influential parameters including applied voltage, Casimir force, geometrical and nonlocal parameters on the nano resonator’s vibration and frequency are investigated. The obtained results demonstrated that the Casimir force reduces the nano-resonator frequency. However, the nonlocal parameter has a hardening effect and enhances the system’s frequency.

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Section: Introductionmentioning

confidence: 99%

Nonlinear Oscillations of CNT Nano-resonator Based on Nonlocal Elasticity: The Energy Balance Method

Goharimanesh

Koochi

2021

Rep. Mech. Eng.

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“…In a commercial screen machine, the sieve efficiency is an essential evaluation indicator of performance and therefore, many researchers try to improve it [5][6][7]. While parametric resonance (PR) is mainly cited as an undesirable phenomenon in shell structures [8], MEMS/NEMS devices [9], nanowire system [10], etc., Slepyan et al [11] invented a new type of vibrating screen that is parametrically excited. This design eliminates many of the drawbacks of existing screens used for naturally wet mineral materials, such as aggregates, in production and provides the quantity demanded by the customers.…”

Section: Introductionmentioning

confidence: 99%

Parametric resonance domain of a parametric excited screen machine

2020

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In this paper the stable operation domain of a parametric resonance (PR) based screen machine is thoroughly investigated. The dynamic model of a screen with two differential equations coupled by a geometric nonlinearity is applied to study the structural motion. In order to address the strong nonlinearities in the equations of motion the homotopy perturbation method (HPM) is used to compute the longitudinal and transverse oscillations. Since, under excessive excitation, the contact of the vibration screen and loaded materials displays undesirable vibro-impact response, the HPM is applied under impact and non-impact operation conditions. By considering appropriate technological parameters, including the maximum amplitude desired, spring stiffness, screen mass, initial velocity and acceleration, the best domain of excitation is calculated. The results provide the optimal parameter domain for a new design of vibrating screen, where the parametric oscillations are excited and the analytically obtained steady oscillation regime is stable. The outcomes of this research respond to changes in the production quality and quantity required by customers and deliver a design guideline for engineers.

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“…Electronic circuits based upon Chen's systems, LC based chaotic oscillators and jerk circuits have been implemented and tested successfully [19]. Another class of relevant physical systems that can display chaos are micro/nanoelectromechanical (MEMS/NEMS) resonators [20][21][22][23][24][25].…”

Section: Introductionmentioning

confidence: 99%

“…It was verified in Refs. [20,22,28] that chaos is fragile in suspended beam MEMS/NEMS resonators in the most usual configurations and operational conditions. However, for practical applications, robust chaos is generally required [27,29].…”

Section: Introductionmentioning

confidence: 99%

Using Nanoresonators with Robust Chaos as HRNGs

Rodrigues¹,

Dantas²,

Ujevic³

et al. 2019

Preprint

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In this paper, we investigate theoretically the potential of a nanoelectromechanical suspended beam resonator excited by two-external frequencies as a hardware random number generator (HRNG). This system exhibits robust chaos, which is usually required for practical applications of chaos. Taking advantage of the robust chaotic oscillations we consider the beam position as a possible random variable and perform tests to check its randomness. The beam position collected at fixed time intervals is used to create a set of values that is a candidate for a random sequence of numbers. To determine how close to a random sequence this set is we perform several known statistical tests of randomness. The performance of the random sequence in the simulation of two relevant physical problems, the random walk and the Ising model, is also investigated. An excellent overall performance of the system as a random number generator is obtained.

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Analysis of the chaotic regime of MEMS/NEMS fixed–fixed beam resonators using an improved 1DOF model

Cited by 26 publications

References 25 publications

Nonlinear Oscillations of CNT Nano-resonator Based on Nonlocal Elasticity: The Energy Balance Method

Nonlinear Oscillations of CNT Nano-resonator Based on Nonlocal Elasticity: The Energy Balance Method

Parametric resonance domain of a parametric excited screen machine

Using Nanoresonators with Robust Chaos as HRNGs

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