Effect of residual surface stress on parametrically excited nonlinear dynamics and instability of viscoelastic piezoelectric nanoelectromechanical resonators

Shariati, Ali; Hosseini, S. Hamed S.; Bayrami, S. Sedighi; Ebrahimi, Farzad; Toghroli, Ali

doi:10.1007/s00366-019-00916-9

Cited by 12 publications

(2 citation statements)

References 70 publications

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“…Furthermore, unlike graphene, which has a bandgap of 0 [42], the unique high-bandgap physical properties of BN make it well-suited for a wide range of applications in semiconductor technology [43][44][45]. Moreover, the unique piezoelectric properties of nanomaterials make them possible to design highly innovative NEMS resonators [46][47][48]. Among them, piezoelectric effect can affect many properties of nanoresonators, such as energy dissipation [49], elastic damping [50] and so on.…”

Section: Introductionmentioning

confidence: 99%

The influence of piezoelectric on the nonlinear stochastic vibration of BN nanoresonator

Zhang,

Xu,

2024

Phys. Scr.

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The outstanding physical properties of hexagonal boron nitride (h-BN) make it highly valuable for use in nanoelectromechanical systems. We investigate the nonlinear stochastic vibration of h-BN nanowire affected by piezoelectric. The nonlinear beam model considering the impact of piezoelectric effect excited by random force is established. Molecular dynamic simulations were utilized to determine the potential energy of h-BN nanowires under varying amplitudes affected by an external electric field. The findings suggest that an increase in the intensity of the electric field can result in buckling behavior, leading to the appearance of two stable points. The cases of pre-buckling and post-buckling of nonlinear dynamic behavior of h-BN nanowire induced by piezoelectric effect is discussed in this paper. Furthermore, the impact of the intensity of random force on the nonlinear stochastic vibration characteristics of h-BN nanowire is also examined.

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Section: Introductionmentioning

confidence: 99%

The influence of piezoelectric on the nonlinear stochastic vibration of BN nanoresonator

Zhang,

Xu,

2024

Phys. Scr.

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“…Based on these microstructure-dependent models, it was concluded that the couple stress effect shows a stiffness enhancement effect (stiffness-hardening) for small-scale FG beams. Regarding the effect of surface energy, many studies have been performed to explore the mechanical response of FGM micro/ nanobeam in the context of the Gurtin-Murdoch surface elasticity theory (SET) [68][69][70][71][72][73][74][75][76][77][78][79][80][81][82][83]. However, the microstructure-based continuum theories only capture the higher-order strain gradients that express the microstructure deformation mechanism.…”

Section: Introductionmentioning

confidence: 99%

A Comprehensive Study of Bending and Stability Responses of 2D-FG Nanobeams Using a Microstructure-Surface Energy-Based Model under Various Boundary Conditions

Attia

Shanab

2022

JNanoR

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The size-dependent bending and static stability characteristics of nanobeams made of bi-directional functionally graded materials (2D-FGMs) under different boundary conditions are comprehensively investigated. Based on the modified couple stress theory and surface elasticity theory, the size-dependent model is formulated for 2D-FG Euler-Bernoulli beam. The material properties of the beam smoothly change along both the axial and thickness directions according to power-law distribution. The continuous spatial variations of the single material length scale parameter and the three surface constants are incorporated to describe the effects of microstructure and surface energy, respectively. This model accounts for the axial and transverse displacements, the exact position of the physical neutral plane, and Poisson’s effect. To obtain the static response of the present model, Ritz method is employed by approximating the axial and transverse displacements in terms of polynomial forms. Different boundary conditions, i.e., Simply-simply (S-S), Clamped-clamped (C-C), Clamped-simply (C-S), and Clamped-free (C-F), are considered and satisfied by adding auxiliary functions to the displacement functions. Numerical results with various cases of boundary conditions are performed with an insight to explore the effects of gradient indices in thickness and length directions, surface energy, material length scale parameter, slenderness ratio, and thickness on the static deflection and buckling responses of 2D-FG nanobeams. Results disclose that, the material properties, the surface energy, and microstructure effects have a significant effect on the bending, and buckling responses of 2D-FG nanobeams. Hence, this study can be helpful in the design and optimization of 2D-FG nanobeams in bending and buckling responses.

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Nonlinear dynamics of viscoelastic flexible structural systems by finite element method

Abdelrahman

Nabawy

Abdelhaleem

et al. 2020

Engineering with Computers

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Effect of residual surface stress on parametrically excited nonlinear dynamics and instability of viscoelastic piezoelectric nanoelectromechanical resonators

Cited by 12 publications

References 70 publications

The influence of piezoelectric on the nonlinear stochastic vibration of BN nanoresonator

The influence of piezoelectric on the nonlinear stochastic vibration of BN nanoresonator

A Comprehensive Study of Bending and Stability Responses of 2D-FG Nanobeams Using a Microstructure-Surface Energy-Based Model under Various Boundary Conditions

Nonlinear dynamics of viscoelastic flexible structural systems by finite element method

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