Thermal and surface effects on the pull-in characteristics of circular nanoplate NEMS actuator based on nonlocal elasticity theory

Yang, Weidong; Kang, Wenbin; Wang, X.

doi:10.1016/j.apm.2016.11.023

Cited by 34 publications

(21 citation statements)

References 35 publications

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“…Therefore, increase in * causes increase in the nonlocal concentrated load and, thereby, increase in w * and M * , see Eqs. (33,30) and Fig. 2a, b.…”

Section: Mechanical Interpretations Of Some Of the Solutionsmentioning

confidence: 92%

“…The expressions for M * r , M * and w * , Eqs. (28,30,33), can be checked to satisfy the nonlocal constitutive Eqs. (6,7).…”

Section: Analysis For the Simply Supported Circular Nanoplatementioning

confidence: 99%

“…The set of nonlocal expressions given in Eqs. (28,30,33,34) are satisfying all of the governing equations, Eqs. (5)(6)(7)(8), and the boundary conditions (9) of a SSP subjected to a uniformly distributed load q * and the concentrated force F * , defined in Eq.…”

Section: Analysis For the Simply Supported Circular Nanoplatementioning

confidence: 99%

“…(1), of the Eringen's nonlocal model to the bending of nanobeams, Eq. (1) was applied to a host of problems of nanomechanics including those pertaining to the bending, stability and vibration of the structural elements (rods, plates and shells) , among which the circular nanoplates were taken a special interest by researchers and engineers [32][33][34][35].…”

Section: Introductionmentioning

confidence: 99%

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Exact nonlocal solutions of circular nanoplates subjected to uniformly distributed loads and nonlocal concentrated forces

Yükseler

2019

J Braz. Soc. Mech. Sci. Eng.

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The nonlocal solutions of the bending problem of the circular elastic nanoplates subjected to uniformly distributed loads by using the Eringen's nonlocal theory are approximate. Seeking for an exact solution of the concerning problem by adding a concentrated force; a specific concentrated force which depends on the nonlocal parameter and, therefore, vanishes in the local case, is obtained. In this context; starting from the local bending solution of the simply supported circular nanoplates under uniformly distributed loads and evolving the solution step by step, exact nonlocal solutions of the bending problem of the simply supported and clamped circular nanoplates subjected to uniformly distributed loads and the concerning nonlocal concentrated forces acting at the centers of the circular nanoplates are obtained with the expectation that the exact nonlocal solution is not very different than the corresponding exact local solution. The closed-form solutions are checked to satisfy exactly the equations of equilibrium, constitutive equations and the boundary conditions of the relevant nonlocal problem. The application of the concerning specific concentrated force, in addition to the uniformly distributed load, is seen to make the radial bending moments for the simply supported circular nanoplate and the deflections for the clamped circular nanoplate free from the effects of the nonlocality.

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“…Therefore, increase in * causes increase in the nonlocal concentrated load and, thereby, increase in w * and M * , see Eqs. (33,30) and Fig. 2a, b.…”

Section: Mechanical Interpretations Of Some Of the Solutionsmentioning

confidence: 92%

“…The expressions for M * r , M * and w * , Eqs. (28,30,33), can be checked to satisfy the nonlocal constitutive Eqs. (6,7).…”

Section: Analysis For the Simply Supported Circular Nanoplatementioning

confidence: 99%

Section: Analysis For the Simply Supported Circular Nanoplatementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Exact nonlocal solutions of circular nanoplates subjected to uniformly distributed loads and nonlocal concentrated forces

Yükseler

2019

J Braz. Soc. Mech. Sci. Eng.

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“…Both experimental and theoretical investigations on small-scale structures have shown that their mechanical behaviour is size-dependent [1][2][3][4][5][6]. Size-dependent elasticity theories including surface [7][8][9][10], nonlocal [11][12][13][14][15][16][17], strain gradient [18][19][20][21] and couple stress [22][23][24][25][26][27] have been utilized in the literature for investigating the stability, oscillation and deformation of various types of nanostructures. In this nonlinear modelling, a combination of strain gradient and nonlocal theories is used [28][29][30].…”

Section: Introductionmentioning

confidence: 99%

Chaos in fluid-conveying NSGT nanotubes with geometric imperfections

Ghayesh

Farokhi

Farajpour

2019

Applied Mathematical Modelling

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This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain. Highlights  Chaos in fluid-conveying nanotubes with initial deflections is analysed.  A scale-dependent model of nanobeams with large deformations is developed.  To comprehensively simulate size effects, the NSGT is utilised.

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RETRACTED: Bending, buckling and vibration analyses of FG porous nanobeams resting on Pasternak foundation incorporating surface effects

et al. 2020

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In the current paper, size‐dependent mechanical analysis of functionally graded porous (FGP) nanobeams resting on Pasternak foundation in thermal environment is presented based on nonlocal strain gradient theory and Gurtin‐Murdoch surface elasticity theory. The nanobeam is modeled based on Euler‐Bernoulli beam theory, Timoshenko beam theory and Reddy's third‐order shear deformation theory and the set of the governing equations are solved for a clamped‐clamped FGP nanobeam using generalized differential quadrature method. Numerical results show that as porosity parameter increases, static deflection increases and critical buckling load decreases, but its effect on the fundamental frequency strongly depends on the porosity distribution pattern. It was revealed that among all studied porosity distribution patterns, the minimum value of the static deflection and maximum values of critical buckling load and fundamental frequency can be achieved using symmetric distribution pattern of pores. It is concluded that tensional residual stress reduces static deflection and increases both critical buckling load and fundamental frequency and temperature rise has reverse effects.

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Thermal and surface effects on the pull-in characteristics of circular nanoplate NEMS actuator based on nonlocal elasticity theory

Cited by 34 publications

References 35 publications

Exact nonlocal solutions of circular nanoplates subjected to uniformly distributed loads and nonlocal concentrated forces

Exact nonlocal solutions of circular nanoplates subjected to uniformly distributed loads and nonlocal concentrated forces

Chaos in fluid-conveying NSGT nanotubes with geometric imperfections

RETRACTED: Bending, buckling and vibration analyses of FG porous nanobeams resting on Pasternak foundation incorporating surface effects

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