Electromechanical buckling of functionally graded electrostatic nanobridges using strain gradient theory

Shojaeian, Milad; Beni, Yaghoub Tadi; Ataei, Hossein

doi:10.1016/j.actaastro.2015.09.015

Cited by 64 publications

(9 citation statements)

References 47 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This theory includes information about the forces between atoms, and the internal length scale is introduced into the constitutive equations as a material parameter. In recent years, numerous studies including the static, dynamic, and thermal analyses have been accomplished on micro and nanostructures (for instances, see these studies based on the nonlocal [27,28], strain gradient [29,30], modified couple stress [31,32], and non-Fourier heat conduction theories, [33,34]). Sedighi et al [35] investigated the size dependent electromechanical instability of cantilever nano-actuator by the use of the strain gradient elasticity theory.…”

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.

View full text Add to dashboard Cite

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.

show abstract

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.

View full text Add to dashboard Cite

show abstract

“…In general, typical electrically actuated devices are composed of a parallel-plate capacitor, where the movable plate deforms towards to the substrate as electrostatic voltage increases. As the size of devices reduces to nanometer scale, dispersion forces such as van der Waals force and Casimir force become significantly important in electromechanical coupling behaviors of devices [19][20][21][22][23][24][25]. Both of van der Waals force and Casimir force originate from fluctuation of electromagnetic field, but based on different separation regimes.…”

Section: Introductionmentioning

confidence: 99%

Dynamic instability and bifurcation of electrically actuated circular nanoplate considering surface behavior and small scale effect

Yang

Wang

2017

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

In this paper, the dynamic pull-in instability and bifurcation characteristics of circular nanoplate subjected to electrostatic and Casimir forces are studied. Surface effect originates from high surface/volume ratio of nanostructures, where atoms at a free surface experience distinct local environments with respect to those in the bulk material. Thus, the surface free energy being negligible in classical elastic theory, becomes significant in dynamic behaviors of nanostructures. Based on Eringen's nonlocal elasticity and Gurtin-Murdoch surface model, the nonlinear governing equation of electrically actuated circular nanoplate is derived in polar coordinate. The closed-form solution of dynamic frequency and electrostatic voltage is obtained by utilizing the homotopy perturbation method (HPM). Furthermore, the coupling effects of nonlocal parameter and surface characteristics on the dynamic pull-in instability of circular nanoplate are investigated, and the nonlinear dynamics behaviors, time histories and phase diagrams of electrically actuated circular nanoplate are discussed. Some new results obtained in this work could be helpful in design of 2-D circular nanoplate-type actuator considering size-dependency and quantum vacuum fluctuation effects.

show abstract

“…Papargyri-Beskou et al [45] used a simple theory of gradient elasticity with surface energy and derived a model of beam bending and buckling. Shojaeian et al [46] modelled clamped-guided nanobeams under axial loads including the effect of nonlinear electrostatic and van der Waals forces for analysis of electromechanical buckling in NEMS structures.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Gold Micro-Beams With Modified Strain Gradient Theory

Dal¹

2017

ANADOLU UNIVERSITY JOURNAL OF SCIENCE AND TECHNOLOGY a - Applied Sciences and Engineering

View full text Add to dashboard Cite

Micro-beams are building blocks for many micro-and nano-electro-mechanical systems (MEMS/NEMS) and cannot accurately be modeled by classical continuum theories due to significant size effects at the length scales associated with these structures. Size effects can be taken into account by the so-called higher-order continuum theories. In this study, Euler-Bernoulli microbeams are analyzed with the Modified Strain Gradient Theory (MSGT), which extends the classical local continuum theories of grade one with the introduction of three additional length scale parameters. In this contribution, finite element implementation is briefly demonstrated by using Galerkin discretization techniques for Euler-Bernoulli beams. The size effect for gold-micro beams is demonstrated and the length scale parameters of gold micro-beams for MSGT are identified from the existing experimental data from literature for the first time. As a novel aspect, significant size effect is demonstrated for the length-scales associated with the state of the art gold micro-beam structures developed for MEMS and NEMS applications, which reveals the necessity of the use of higher-order theories at these length scales.

show abstract

Electromechanical buckling of functionally graded electrostatic nanobridges using strain gradient theory

Cited by 64 publications

References 47 publications

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

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

Dynamic instability and bifurcation of electrically actuated circular nanoplate considering surface behavior and small scale effect

Analysis of Gold Micro-Beams With Modified Strain Gradient Theory

Contact Info

Product

Resources

About