Forced transverse vibration of nanoplates using nonlocal elasticity

Aksencer, Tolga; Aydoğdu, Metin

doi:10.1016/j.physe.2011.12.004

Cited by 39 publications

(16 citation statements)

References 31 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Also in order to validate the accuracy of obtained results for the nonlocal elastic GS, we compared deflection response with the results presented by Ref [30]. Hence, we inputted in Eq.…”

Section: Validation Of Present Resultsmentioning

confidence: 90%

“…Numerical solutions for the vibration frequencies and dynamic response of a circular SLGS were obtained using Galerkin's method and the effects of small scale together with the other parameters such as elastic foundation coefficients and the radius of the nanoplate were investigated at [29]. Aksencer et al [30] investigated the nonlocal effects on forced vibration of nanoplates with analytical solution. They showed that dynamic deflections predicted by the classical theory are always smaller than those expected by the nonlocal theory.…”

mentioning

confidence: 99%

See 1 more Smart Citation

Forced vibration of nanoplate on viscoelastic substrate with consideration of structural damping: An analytical solution

Hosseini-Hashemi

Mehrabani

Ahmadi-Savadkoohi

2015

Composite Structures

View full text Add to dashboard Cite

“…Also in order to validate the accuracy of obtained results for the nonlocal elastic GS, we compared deflection response with the results presented by Ref [30]. Hence, we inputted in Eq.…”

Section: Validation Of Present Resultsmentioning

confidence: 90%

mentioning

confidence: 99%

Forced vibration of nanoplate on viscoelastic substrate with consideration of structural damping: An analytical solution

Hosseini-Hashemi

Mehrabani

Ahmadi-Savadkoohi

2015

Composite Structures

View full text Add to dashboard Cite

“…After substituting by the form of displacement that is given by Kirchhoff plate theory, the previous equations of strains will be in the form of: (12) where ( ) are the membrane strains and ( ) are the bending strains which are known as the curvatures.…”

Section: Displacements and Strainsmentioning

confidence: 99%

Analysis and vibration of rectangular nanoplates - An overview

Eraky

Salama

Abdelhameed

2021

The Egyptian International Journal of Engineering Sciences and

View full text Add to dashboard Cite

This work presents a review on solution methods and analysis of nanoplates structures with different boundary conditions and load cases, under some effects such as magnetic field and the effect of other parameters on the vibration and analysis. Moreover, it represents a review about the theories that are used to study these nanoplates structures such; the nonlocal elasticity theory by Eringen which is introduced to take into consideration the small scale effect of such nano-structure. The equation of motion of the nanoplate is derived then it used to study this type of nano-structures. Nanoplates are used in a lot of branches of life and in different applications because of the high and excellent mechanical, thermal and electrical properties of these nanoplates. Applications of nanoplate structure are also introduced to show the importance of studying and getting a solution of such nanoplates. Also, some parametric studies are discussed to show the effect of the studied parameters on the dynamic behaviour and analysis of these nanoplates.

show abstract

“…However, the conventional nonlocal model is a simple and expedient application and it showed a good agreement with MD simulations and experiments for free vibration of the nanoplate problems [4][5][6][7]. Consequently, it was extensively applied to investigate the various performances of nanoplates [8][9][10][11][12][13][14][15][16][17][18][19][20].…”

Section: Introductionmentioning

confidence: 99%