Size dependent analysis of functionally graded microbeams using strain gradient elasticity incorporated with surface energy

Salamat‐talab, Mazaher; Shahabi, Farhad; Assadi, Abbas

doi:10.1016/j.apm.2012.02.053

Cited by 12 publications

(4 citation statements)

References 35 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In order to study the effects of external electric voltage, Pasternak foundation, length of nanobeams, temperature and small scale parameter on the dimensionless frequency of the PNB, ϭϱ the differential quadrature method (DQM) [44] Fig. 2 shows the comparison between the obtained results for normalized linear frequency of present work and results obtained by Ref.…”

Section: Numerical Results and Discussionmentioning

confidence: 89%

Nonlinear vibration of a nanobeam elastically bonded with a piezoelectric nanobeam via strain gradient theory

Arani

Abdollahian

Kolahchi

2015

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

Section: Numerical Results and Discussionmentioning

confidence: 89%

Nonlinear vibration of a nanobeam elastically bonded with a piezoelectric nanobeam via strain gradient theory

Arani

Abdollahian

Kolahchi

2015

International Journal of Mechanical Sciences

View full text Add to dashboard Cite

“…Nateghi and Salamat-talab [39] presented the thermal effect on the free vibration and buckling of FG microbeams on the basis of MCST. Salamat-talab et al [40] studied the bending, buckling and free vibration of FG Euler-Bernoulli microbeams via the SGT. Ansari et al [41] investigated the pull-in instability of circular microplates subjected to uniform hydrostatic and nonuniform electrostatic actuations based on the MSGT.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear Vibration Analysis of Microscale Functionally Graded Timoshenko Beams using the Most General form of Strain Gradient Elasticity

et al. 2013

View full text Add to dashboard Cite

Based on the Timoshenko beam model, the nonlinear vibration of microbeams made of functionally graded (FG) materials is investigated under different boundary conditions. To consider small scale effects, the model is developed based on the most general form of strain gradient elasticity. The nonlinear governing equations and boundary conditions are derived via Hamilton's principle and then discretized using the generalized differential quadrature technique. A pseudo-Galerkin approach is used to reduce the set of discretized governing equations into a time-varying set of ordinary differential equations of Duffing-type. The harmonic balance method in conjunction with the Newton-Raphson method is also applied so as to solve the problem in time domain. The effects of boundary conditions, length scale parameters, material gradient index and geometrical parameters are studied. It is found that the importance of the small length scale is affected by the type of boundary conditions and vibration mode. Also, it is revealed that the classical theory tends to underestimate the vibration amplitude and linear frequency of FG microbeams.

show abstract

“…Nonetheless, the studies on the mechanical characteristics of ultrasmall pipes subject to the pulsations of a flowing fluid are limited. For macroscale structures, researchers utilise scale free formulations based on the classical continuum mechanics (CLCM), which is incapable of describing the size-dependent behaviours that an ultrasmall structure exhibits [20][21][22][23]. Therefore, to better understand the behaviour of ultrasmall structures, theoretical continuum-based models [24][25][26][27] are developed besides carrying out experimental techniques or molecular dynamics simulations.…”

Section: Introductionmentioning

confidence: 99%

Global nonlocal viscoelastic dynamics of pulsatile fluid-conveying imperfect nanotubes

et al. 2019

View full text Add to dashboard Cite

This article aims to analyse the global nonlocal dynamics of imperfect nanoscale fluidconveying nanotubes subject to pulsatile flow. The nanotubes are assumed to be viscoelastic. Utilising nonlocal strain gradient theory, Beskok-Karniadakis assumptions, Kelvin-Voigt scheme and Euler-Bernoulli theory, the coupled size-dependent equations are presented to account for the size effects for the nanoscale fluid and solid. Additionally, Coriolis and centrifugal accelerations, imperfection effects are considered in this article. Using different parameters, the response of the system is plotted and investigated. This investigation shows that the bifurcation response for transverse and longitudinal direction is highly dependent on the imperfection of nanotubes, the velocity and frequency of pulsatile flow. Moreover, varying different velocity components results in different responses. The preliminary results show that imperfections in fluid-conveying nanotubes reduce the chaos region.

show abstract

Size dependent analysis of functionally graded microbeams using strain gradient elasticity incorporated with surface energy

Cited by 12 publications

References 35 publications

Nonlinear vibration of a nanobeam elastically bonded with a piezoelectric nanobeam via strain gradient theory

Nonlinear vibration of a nanobeam elastically bonded with a piezoelectric nanobeam via strain gradient theory

Nonlinear Vibration Analysis of Microscale Functionally Graded Timoshenko Beams using the Most General form of Strain Gradient Elasticity

Global nonlocal viscoelastic dynamics of pulsatile fluid-conveying imperfect nanotubes

Contact Info

Product

Resources

About