Transverse vibration of circular graphene sheet-based mass sensor via nonlocal Kirchhoff plate theory

Zhou, Shiming; Sheng, Liping; Shen, Zhi-Bin

doi:10.1016/j.commatsci.2014.01.031

Cited by 62 publications

(23 citation statements)

References 40 publications

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“…Nanoresonators based on two-dimensional materials such as graphene and SLMoS 2 are promising candidates for ultra-sensitive mass sensing and detection because of their large surface areas and small masses [86][87][88][89][90][91][92][93][94]. For sensing applications, it is important that the nanoresonator exhibits a high Q-factor because the sensitivity of a nanoresonator is inversely proportional to its Q-factor [95].…”

Section: Nanomechanical Resonatorsmentioning

confidence: 99%

Graphene versus MoS2: A short review

Jiang

2015

Front. Phys.

182

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Graphene and MoS 2 are two well-known quasi two-dimensional materials. This review presents a comparative survey of the complementary lattice dynamical and mechanical properties of graphene and MoS 2 , which facilitates the study of graphene/MoS 2 heterostructures. These hybrid heterostructures are expected to mitigate the negative properties of each individual constituent and have attracted intense academic and industrial research interest.

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Section: Nanomechanical Resonatorsmentioning

confidence: 99%

Graphene versus MoS2: A short review

Jiang

2015

Front. Phys.

182

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“…The deformation of the nanoplate has been derived and presented in Zhou et al (2014) and Farajpour et al (2011). Since the gap of plate separation in NEMS is usually below 20 nm.…”

Section: Differential Transformationmentioning

confidence: 99%

“…The concept of differential transform was first applied to solve linear and nonlinear value problems for electric circuit problems by Zhou (1986). The differential transformation theory is based on Taylor's series expansion and transform, and the linear and nonlinear systems of differential equations are converted into algebraic equations.…”

Section: Introductionmentioning

confidence: 99%

Analysis of nonlocal nonlinear behavior of graphene sheet circular nanoplate actuators subject to uniform hydrostatic pressure

2017

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This study investigates the scale effect on nonlinear behavior of a clamped-clamped circular graphene sheet nanoplate actuator, which is electrostatically actuated by various vdW forces, tensile loads, and hydrostatic pressures. The circular nanoplate model is developed by using Eringen's nonlocal elasticity theory. The nonlinear behavior of the circular nanoplate actuator subject to nonlocal effect, electrostatic vdW forces, tensile loads, and hydrostatic pressures, is then carefully derived, analyzed and presented. A proposed hybrid differential transformation/finite difference method is first introduced to characterize the influence of scale effect on nonlinear behavior of the circular nanoplate subject to DC loads. The modeling result shows that the pull-in voltage deviates less than 2.71% as compared to that appeared in the literature obtained by using a different approach. The validity of the proposed hybrid method is thus verified and can thus be employed to further characterize the effect of small scale for different electrostatic actuation of tensile loads and hydrostatic pressures in greater details. The structural modeling results indicate that the pull-in voltage increases obviously with increasing scale effects. Overall, the results also reveal that the hybrid method presented in this paper is effective and can be used to accurately quantify the pull-in voltage in circular nanoplate systems under different associated actuation.

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“…In order to find the exact point of attached masses, sensors play a significant role. The main idea for determining the location of added masses such as bacterium/ virus, biomolecules, and buckyballs is to measure the resonant frequency shift of the nanosensor caused by variations in total mass of the system (Zhou et al 2014;Asemi et al 2015;Karličić et al 2015;Shi et al 2015;Jalali et al 2015;Sadeghzadeh 2016). It is that piezoelectric (ZnOBaTiO 3 ) (Guo et al 2012;Alluri et al 2015), magnetic/ piezoelectric (Yeh et al 2016), and magnetic (CoFe 2 O 4 ) Fig.…”

Section: Introductionmentioning

confidence: 99%

Nanoscale mass nanosensor based on the vibration analysis of embedded magneto-electro-elastic nanoplate made of FGMs via nonlocal Mindlin plate theory

et al. 2017

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In the current paper, the sensitivity performance of functionally graded magneto-electro-elastic (FG-MEE) nanoplate with attached nanoparticles as a nanosensor is analyzed based on nonlocal Mindlin plate assumption. Power law distribution model is employed to display how the material properties of FG-MEE nanoplate vary across the thickness direction. It is supposed that FG-MEE nanoplate is under initial external electric and magnetic potentials. Boundary condition of each edge of FG-MEE nanoplate is assumed to be simply supported. Furthermore, a Pasternak substrate is applied for modelling the total reaction pressure between nanoplate and foundation. Partial differential equations and corresponding boundary conditions are first achieved using Hamilton's variational principle and then analytically solved to determine the frequency shift utilizing Navier's approach. Numerical examples are performed to elucidate the dependency of the sensitivity performance of FG-MEE nanosensor on the volume fraction exponent, nonlocal parameter, total attached mass and location of the nanoparticle, aspect ratio, mode number, initial external electric voltage, initial external magnetic potential, and Pasternak medium coefficients. It is clearly indicated that these factors have highly significant impacts on the variations of frequency shift.

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Transverse vibration of circular graphene sheet-based mass sensor via nonlocal Kirchhoff plate theory

Cited by 62 publications

References 40 publications

Graphene versus MoS2: A short review

Graphene versus MoS2: A short review

Analysis of nonlocal nonlinear behavior of graphene sheet circular nanoplate actuators subject to uniform hydrostatic pressure

Nanoscale mass nanosensor based on the vibration analysis of embedded magneto-electro-elastic nanoplate made of FGMs via nonlocal Mindlin plate theory

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