Non-linear dynamic instability of a double-sided nano-bridge considering centrifugal force and rarefied gas flow

Sedighi, Hamid M.; Koochi, Ali; Daneshmand, Farhang; Abadyan, Mohamadreza

doi:10.1016/j.ijnonlinmec.2015.08.002

Cited by 37 publications

(10 citation statements)

References 67 publications

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“…In order to solve the problem, generalized differential quadrature (DQ) method is applied to discretize the governing differential equations corresponding to clamped‐simply and clamped‐free boundary conditions. Sedighi investigated the impact of vibrational amplitude on the dynamic pull‐in instability and fundamental frequency of actuated microbeams and double‐sided nano‐bridge 20,21 . Based on the Gurtin–Murdoch model and the modified theory of force pairs, Sedighi and Bozorgmehri 22 studied the governing equation of motion of nanosystems with circular cross‐section and cylinder‐plate geometry.…”

Section: Introductionmentioning

confidence: 99%

Dynamic analysis of rotating double‐tapered cantilever Timoshenko nano‐beam using the nonlocal strain gradient theory

2020

Math Methods in App Sciences

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Based on the nonlocal strain gradient theory, the coupling nonlinear dynamic equations of a rotating double‐tapered cantilever Timoshenko nano‐beam are derived using the Hamilton principle. The equation of motion is discretized via the differential quadrature method. The effects of the angular velocity, nonlocal parameter, slenderness ratio, cross‐section parameter, and taper ratios are examined and discussed. It is shown that taper ratios and cross‐section parameter play a significant role in the vibration response of a rotating cantilever nano‐beam. Further as rotational angular velocity increases, the taper ratios and cross‐section parameter effect on the frequency response are increased for first modes of vibration.

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Section: Introductionmentioning

confidence: 99%

Dynamic analysis of rotating double‐tapered cantilever Timoshenko nano‐beam using the nonlocal strain gradient theory

2020

Math Methods in App Sciences

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“…Carbon nitride‐ and boron‐based nanostructures have attracted special attention (from theory and experimental aspects) due to their remarkable electromechanical properties [7]. Many kinds of research studies have been conducted to clarify the mechanical properties of nano‐structures using different analytical methods such as strain gradient theory [8], fully gradient elasticity [9, 10], Eringen differential models [11, 12], energy equivalent model [13], non‐local or surface elasticity [14], and other theoretical and even experimental methods [15–17]. Furthermore, non‐local theories are also one of the common methods for modelling discontinuous nano‐structures, which make continuum theories suitable for the analysis of such nano‐structures.…”

Section: Introductionmentioning

confidence: 99%

Effect of nitrogen or boron impurities on the mechanical and vibrational properties of graphene nanosheets: a molecular dynamics approach

Mehrabani

Khatibi

Ashory

et al. 2020

Micro & Nano Letters

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“…Another method to investigate the effect of the squeeze film on a microsystem consists in approximating the pressure distribution as a nonlinear damping force [21,22]. Sedighi et al [23] used this method to study the nonlinear dynamic response of a double-sided electromechanical nano-bridge. The increase in the damping coefficient leads to an increase of the dynamic pull-in of the system.…”

Section: Introductionmentioning

confidence: 99%

Modeling and experimental characterization of squeeze film effects in nonlinear capacitive circular microplates

Jallouli

Kacem

Najar

et al. 2019

Mechanical Systems and Signal Processing

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In this article, an original approach to model the squeeze film effects in capacitive circular microplates is developed. The nonlinear von Kármán plate theory is used while taking into consideration the electrostatic and geometric nonlinearities of the clamped edge microplate. The fluid underneath the plate is modeled using the nonlinear Reynolds equation with a corrected effective dynamic viscosity due to size effect. The strongly coupled system of equations is solved using the Differential Quadrature Method (DQM) by discretizing the structural and the fluid domains into a set of grid points. The linear effects of the squeeze film on the microplate have been investigated based on the complex eigenfrequencies of the multiphysical problem. It is shown that the air film can alter the resonance frequencies by adding stiffness as well as damping to the system. The model has been validated numerically with respect to a Finite Element Model (FEM) implemented in ANSYS and experimentally on a fabricated circular microplates. The nonlinear effects of the squeeze film have been studied by determining the steady state solution of the system using the finite difference method (FDM) coupled with the arclength continuation technique. It is shown that the decrease of the static pressure shifts the resonance frequency and leads to an increase of the vibration amplitude due to the reduction of the damping coefficient, while the increase in the pressure enlarges the bistability domain. The developed model can be exploited as an effective tool to predict the nonlinear dynamic behavior of microplates under the effect of air film for the design of Capacitive Micromachined Ultrasonic Transducers (CMUTs).

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Non-linear dynamic instability of a double-sided nano-bridge considering centrifugal force and rarefied gas flow

Cited by 37 publications

References 67 publications

Dynamic analysis of rotating double‐tapered cantilever Timoshenko nano‐beam using the nonlocal strain gradient theory

Dynamic analysis of rotating double‐tapered cantilever Timoshenko nano‐beam using the nonlocal strain gradient theory

Effect of nitrogen or boron impurities on the mechanical and vibrational properties of graphene nanosheets: a molecular dynamics approach

Modeling and experimental characterization of squeeze film effects in nonlinear capacitive circular microplates

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