Modified continuum model for stability analysis of asymmetric FGM double-sided NEMS: Corrections due to finite conductivity, surface energy and nonlocal effect

Sedighi, Hamid M.; Keivani, Maryam; Abadyan, Mohamadreza

doi:10.1016/j.compositesb.2015.08.029

Cited by 77 publications

(17 citation statements)

References 55 publications

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“…In order to establish balance conditions on the upper and lower surfaces of nanoplate on the basis of the Gurtin-Murdoch approach [28,37,46,50], the nonlocal strain-stress relation (6) for the bulk of FGM nanoplate can be modified as …”

Section: Surface Elasticity Modelmentioning

confidence: 99%

“…Up to now, some researchers have been attracted to investigate the sizedependent analysis of FGM plates via non-classical continuum models such as modified strain gradient theory [41], modified couple stress theory [42,43] and nonlocal elasticity theory [44,45]. In another work, Sedighi et al [46] studied the effects of finite conductivity of FGMs on the dynamic instability of double-sided NEMS bridge considering the surface energy and nonlocal effects.…”

Section: Introductionmentioning

confidence: 98%

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Surface effect on the biaxial buckling and free vibration of FGM nanoplate embedded in visco-Pasternak standard linear solid-type of foundation

2016

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In this study, nonlocal elasticity theory in conjunction with Gurtin-Murdoch elasticity theory is employed to investigate biaxial buckling and free vibration behavior of nanoplate made of functionally graded material (FGM) and resting on a viscoPasternak standard linear solid-type of the foundation. The material characteristics of simply supported FGM nanoplates are assumed to be varied continuously as a power law function of the plate thickness. Hamilton's principle is implemented to derive the non-classical governing equations of motion and related boundary conditions, which analytically solved to obtain the explicit closed-form expression for complex natural frequencies and buckling loads. Finally, attention is focused on considering the influences of various parameters on variation of damped natural frequency and buckling load ratio such as nonlocal parameter, surface effects, geometric parameters, power law index and properties of visco-Pasternak foundation and it is clearly demonstrated that these factors highly affect on vibration and buckling behavior.

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Section: Surface Elasticity Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 98%

Surface effect on the biaxial buckling and free vibration of FGM nanoplate embedded in visco-Pasternak standard linear solid-type of foundation

2016

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“…FG shallow arches can follow equilibrium track and become unstable depending on the critical load limit of internal forces (Batani and Eslami [64]). Sedighi et al [65] investigated dynamic stability analysis of asymmetric FGM-NEMS (nano electromechanical structure). Results reveal that pull-in voltage of nanobridges varies proportionally with surface stress and varies inversely with nonlocal parameters.…”

Section: Fgm Panels Duc and Tungmentioning

confidence: 99%

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Zhang

Khan

Guo

et al. 2019

Advances in Materials Science and Engineering

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Functionally graded materials (FGMs) are novel materials whose properties change gradually with respect to their dimensions. It is the advanced development of formerly used composite materials and consists of two or more materials in order to achieve the desired properties according to the application where an FGM is used. FGMs have obtained a great attention of researchers in the past decade due to their graded properties at every single point in various dimensions. The properties of an FGM are not identical to the materials that constitute it. This paper aims to present an overview of the existing literature on stability, buckling, and free vibration analysis of FGM carried out by numerous authors in the past decade. Moreover, the analyses of mathematical models adopted for the aforementioned analyses are not the core purpose of this paper. At the end, future work is also suggested in this review paper.

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“…biosensors, micro-resonators, atomic force microscopes (AFMs) and actuators [1][2][3][4]. MEMS/NEMS may be actuated using several sources of energy such as electrostatic [5], electromagnetic [6], piezoelectric [7] and may be made of metals or polymer, silicon-based structures or functionally graded materials (FGM) [8][9][10][11][12][13]. Electrostatic actuation has demonstrated good energy density and efficiency.…”

Section: Introductionmentioning

confidence: 99%

Static and Dynamic Pull-In Instability of Nano-Beams Resting on Elastic Foundation Based on the Nonlocal Elasticity Theory

Sedighi

Sheikhanzadeh

2017

Chin. J. Mech. Eng.

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This paper provides the static and dynamic pullin behavior of nano-beams resting on the elastic foundation based on the nonlocal theory which is able to capture the size effects for structures in micron and sub-micron scales. For this purpose, the governing equation of motion and the boundary conditions are driven using a variational approach. This formulation includes the influences of fringing field and intermolecular forces such as Casimir and van der Waals forces. The differential quadrature (DQ) method is employed as a high-order approximation to discretize the governing nonlinear differential equation, yielding more accurate results with a considerably smaller number of grid points. In addition, a powerful analytical method called parameter expansion method (PEM) is utilized to compute the dynamic solution and frequency-amplitude relationship. It is illustrated that the first two terms in series expansions are sufficient to produce an acceptable solution of the mentioned structure. Finally, the effects of basic parameters on static and dynamic pull-in instability and natural frequency are studied.

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Modified continuum model for stability analysis of asymmetric FGM double-sided NEMS: Corrections due to finite conductivity, surface energy and nonlocal effect

Cited by 77 publications

References 55 publications

Surface effect on the biaxial buckling and free vibration of FGM nanoplate embedded in visco-Pasternak standard linear solid-type of foundation

Surface effect on the biaxial buckling and free vibration of FGM nanoplate embedded in visco-Pasternak standard linear solid-type of foundation

Functionally Graded Materials: An Overview of Stability, Buckling, and Free Vibration Analysis

Static and Dynamic Pull-In Instability of Nano-Beams Resting on Elastic Foundation Based on the Nonlocal Elasticity Theory

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