Surface effect on the resonant frequency of Timoshenko nanobeams

Jia, Ning; Yao, Yin; Yang, Yusen; Chen, Shaohua

doi:10.1016/j.ijmecsci.2017.07.052

Cited by 18 publications

(7 citation statements)

References 49 publications

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“…Jia et al. 41 studied SE on the resonant frequency of Timoshenko nanobeams. They concluded that with considering the effect of SE, the resonant frequency of a fixed–fixed Timoshenko nanobeam would be improved, while that of a cantilevered one would be weakened by the SE in contrast to the corresponding classical solutions.…”

Section: Numerical Results and Discussionmentioning

confidence: 99%

Effects of surface energy on vibration characteristics of double-walled piezo-viscoelastic cylindrical nanoshell

Kachapi

Dardel

Daniali

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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In this paper, vibration analysis of double-walled piezo-viscoelastic cylindrical nanoshell integrated with piezoelectric layers is investigated using Gurtin–Murdoch surface/interface theory and Donnell's theory. Three parameters namely, shear modulus, damp coefficient, and Winkler modulus are used for simulation of visco-Pasternak model. Hamilton's principle is used for deriving the governing equations and boundary conditions and also the assumed mode method is used for changing the partial differential equations into ordinary differential equation. The effects of the surface energy, length and thickness of nanoshell and piezoelectric layer, boundary condition, van der Waals force, and visco-Pasternak effects on the undamped and damped natural frequencies of piezo-viscoelastic cylindrical nanoshell is studied. Also, the results show that on considering surface effects in the nanoscale system without considering the surface density, the maximum frequency will be obtained and this case will be considered as the critical state of the system. As a result, controlling the frequency of the system in this case is essential and it is quite clear that considering the effects of the surface energy will have a remarkable effect on the natural frequency of the piezo-viscoelastic nanoshell.

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Section: Numerical Results and Discussionmentioning

confidence: 99%

Effects of surface energy on vibration characteristics of double-walled piezo-viscoelastic cylindrical nanoshell

Kachapi

Dardel

Daniali

et al. 2019

Proceedings of the Institution of Mechanical Engineers, Part C:

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show abstract

“…In addition, the role of surface effect on the resonant behavior of Timoshenko nanobeams with the different boundary conditions was studied. [133,135] For instance, surface effect in a doubly clamped nanobeam would improve the resonant frequency, while for a nanocantilever, the resonant frequency would be weakened by the surface effect. [135] Recently, an in-depth review on size-dependent mechanical properties of nanowires was published.…”

Section: Continuum Mechanical Systemsmentioning

confidence: 99%

“…[133,135] For instance, surface effect in a doubly clamped nanobeam would improve the resonant frequency, while for a nanocantilever, the resonant frequency would be weakened by the surface effect. [135] Recently, an in-depth review on size-dependent mechanical properties of nanowires was published. [139]…”

Section: Continuum Mechanical Systemsmentioning

confidence: 99%

“…[127][128][129][130] Timoshenko beam theory was used to investigate the simultaneous influence of the surface effects, shear deformation, and rotary inertia on the natural frequency of flexural vibrations of nano-and microbeams. [130][131][132][133][134][135][136][137][138] He and Lilley [133] found that when the aspect ratios are small (i.e., <5), the shear effect is more significant to fundamental resonant frequencies than to the surface effects, implying the important role of the aspect ratio regardless of size for the diameters modeled. In addition, the role of surface effect on the resonant behavior of Timoshenko nanobeams with the different boundary conditions was studied.…”

Section: Continuum Mechanical Systemsmentioning

confidence: 99%

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A Comprehensive Categorization of Micro/Nanomechanical Resonators and Their Practical Applications from an Engineering Perspective: A Review

Ghaemi

Nikoobin

Ashory

2022

Adv Elect Materials

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Micro/nanoelectromechanical systems (M/NEMS), especially micro/nanomechanical resonators, provide an unprecedented platform for investigating a wide range of applications in both fundamental physical phenomena (such as quantum‐level problems) and engineering and applied sciences (like sensing physical quantities and signal processing). In sensing context, these tiny resonators are invaluable tools for detecting weak forces and single molecules. Measuring such small variations in sub‐nanometer amplitudes at high frequencies has created many practical challenges. Therefore, maximizing the responsivity to a specified input parameter and minimizing the responsivity to other inputs such as noise are considered as the optimal design for the excellent performance in nanoresonators. The present review aims to summarize some of the recent progress in this rapidly advancing field. Specifically, more attention is paid to the topics related to the dynamical behaviors of micro/nanoresonator and their practical applications. First, the theory behind micro/nanoresonators is described. Then a summary is presented of the basic concepts in resonant devices. In addition, several commonly dynamical techniques to enhance sensitivity are introduced. Finally, the devices are classified based on linear and nonlinear, single and array, symmetric and asymmetric, and frequency shift‐based and amplitude shift‐based resonators, along with the relative advantages and disadvantages of each one in engineering applications.

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“…Both parameters are easily found from material handbooks or simple molecular dynamics simulations. Some statics and dynamics of beams have been well analyzed by surface energy density theory [31][32][33][34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Contact behaviors involving a nanobeam with surface effect by a rigid indenter

Wang,

Wu,

2023

Mathematics and Mechanics of Solids

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In this study, we present a novel surface model that utilizes surface energy density to predict the surface effect in nanobeam contact problems. To address the issue of a finite-length elastic nanobeam being indented by a rigid cylindrical indenter, we propose an equivalent substitution method. This method allows us to formulate analytical relations between the load and contact half-width for two different boundary cases. The explicit expressions of the contact-zone width, the pressure distribution in the contact zone, the deflection outside the contact zone, and the load–displacement relation are obtained for the nanobeam with surface effect and are compared with classical results in detail. The results show that the influence of the surface effect is very significant for nanobeam contact behavior, especially when the half-width of the contact zone increases and the contact zone becomes two independent symmetric strips. It is also found that the length-height ratio of nanobeam and the end support conditions have a fairly obvious effect on the normalized pressure distribution, which deviates significantly from the one predicted by the classical results due to the surface effect. However, for a given beam length and indenter radius, the ratio of the width of the contact zone to the beam thickness is almost constant, independent of the indenter load and beam boundary conditions. Meanwhile, the model predicts that the contact pressure distribution after the normalization of the average indentation pressure is almost independent of the indentation load and beam boundary conditions, but obviously depends on the surface effect parameters. The present method and result should be helpful not only to the measurement of mechanical properties of the indentation nanobeam but also to the design of the nanobeam-based devices.

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Surface effect on the resonant frequency of Timoshenko nanobeams

Cited by 18 publications

References 49 publications

Effects of surface energy on vibration characteristics of double-walled piezo-viscoelastic cylindrical nanoshell

Effects of surface energy on vibration characteristics of double-walled piezo-viscoelastic cylindrical nanoshell

A Comprehensive Categorization of Micro/Nanomechanical Resonators and Their Practical Applications from an Engineering Perspective: A Review

Contact behaviors involving a nanobeam with surface effect by a rigid indenter

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