Free vibration analysis of bilayered circular micro-plate including surface effects

Zhou, Shen Jie; Zhang, Rongmin; Zhou, Shenjie; Li, Anqing

doi:10.1016/j.apm.2019.01.017

Cited by 24 publications

(4 citation statements)

References 33 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…They showed that damping coefficients play an important role in the transient stability of the structure. Zhou et al (2019) developed a new exact model based on the Kirchhoff and surface elasticity theory to investigate the vibrational behavior of the double-layer circular microplate. They considered the effect of surface effect in their mathematical model as another novelty.…”

Section: Introductionmentioning

confidence: 99%

Frequency characteristics of a viscoelastic graphene nanoplatelet–reinforced composite circular microplate

Ghabussi

Habibi

NoormohammadiArani

et al. 2020

Journal of Vibration and Control

View full text Add to dashboard Cite

This is the first research on the frequency analysis of a graphene nanoplatelet composite circular microplate in the framework of a numerical-based generalized differential quadrature method. Stresses and strains are obtained using the higher order shear deformation theory. The microstructure is surrounded by a viscoelastic foundation. Rule of the mixture is used to obtain varying mass density and Poisson’s ratio, whereas the module of elasticity is computed by a modified Halpin–Tsai model. Governing equations and boundary conditions of the graphene nanoplatelet composite circular microplate are obtained by implementing Hamilton’s principle. The results show that outer to inner radius ratio [Formula: see text], ratios of length scale and nonlocal to thickness ( l/ h and [Formula: see text]), and graphene nanoplatelet weight fraction [Formula: see text] have significant influence on the frequency characteristics of the graphene nanoplatelet composite circular microplate. Another necessary consequence is that by increasing the value of [Formula: see text], the distribution of the displacement field extends from radial to tangent direction, especially in the lower mode numbers; this phenomenon appears much more remarkable. A useful suggestion of this research is that for designing the graphene nanoplatelet composite circular microplate at a low value of [Formula: see text], [Formula: see text] and [Formula: see text] should be given more attention, simultaneously. An interesting result which has come down from the article is that the effect of [Formula: see text] on the dimensionless frequency of the structure is really dependent on the value of C d.

show abstract

Section: Introductionmentioning

confidence: 99%

Frequency characteristics of a viscoelastic graphene nanoplatelet–reinforced composite circular microplate

Ghabussi

Habibi

NoormohammadiArani

et al. 2020

Journal of Vibration and Control

View full text Add to dashboard Cite

show abstract

“…It should be noted that the mentioned theories consist of size-dependent parameters, in which their exact values must be determined by experimental data or numerical simulations [58][59][60][61]. Zhou et al [62] developed a new exact model based on Kirchhoff and surface elasticity theory for the investigation of vibra-tional behavior of the double-layer circular microplate. They considered the effect of surface effect in their mathematical model as another novelty.…”

Section: Introductionmentioning

confidence: 99%

Frequency characteristics of a GPL-reinforced composite microdisk coupled with a piezoelectric layer

et al. 2020

View full text Add to dashboard Cite

This is the first research on the frequency analysis of a graphene nanoplatelet composite (GPLRC) microdisk in the framework of a numerical-based generalized differential quadrature method. The stresses and strains are obtained using the higher-order shear deformable theory. Rule of mixture is employed to obtain varying mass density, thermal expansion, and Poisson's ratio, while module of elasticity is computed by modified Halpin-Tsai model. Governing equations and boundary conditions of the GPLRC microdisk covered with piezoelectric layer are obtained by implementing Hamilton's principle. Regarding perfect bonding between the piezoelectric layer and core, the compatibility conditions are derived. In addition, due to the existence of piezoelectric layer, Maxwell's equation is derived. The results show that outer-to-inner ratio of radius (R o /R i ), ratios of length scale and nonlocal to thickness (l/h and μ/h), ratio of piezoelectric to core thickness (h p /h), applied voltage, and GPL weight fraction (g GPL ) have significant influence on the frequency characteristics of the GPLRC microdisk. Another important consequence is that in addition to the nonlinear indirect effects of applied voltage on the natural frequency of the GPLRC microdisk covered with piezoelectric for each specific value of R o /R i , the impact of the R o /R i on the natural frequency is indirect. A useful suggestion of this research is that, for designing the GPLRC circular microplate at the low value of the R o /R i should be more attention to the g GPL and R o /R i , simultaneously.

show abstract

“…Shasha et al [44] introduced an exact novel model based on surface elasticity and Kirchhoff theory to determine the vibration performance of a double-layered microstructure. The surface effect is captured in their model as the main novelty.…”

Section: Introductionmentioning

confidence: 99%

Critical Temperature and Frequency Characteristics of GPLs-Reinforced Composite Doubly Curved Panel

et al. 2020

View full text Add to dashboard Cite

In this study, critical temperature and frequency characteristics of a doubly curved panel are reinforced by graphene nanoplatelets (GPLs) with the aid of a two-dimensional generalized differential quadrature method (2D-GDQM) are investigated. The size effects are included using nonlocal strain gradient theory (NSGT) that has two length scale parameters, and the panel is modeled as a panel using high order shear deformation theory (HSDT). The mechanical properties of GPLs are calculated based on the rule of mixtures and the modified Halpin–Tsai model. The novelty of the current study is in considering the effects of the thermal environment, various boundary conditions, and size effects on the frequency and critical temperature of the GPLRC panel. The validation is performed through the comparison of the numerical results for the frequency of the GPLRC panel and the literature. For more verification, a finite element model is presented using the finite element package to simulate the response of the current structure. The results created from a finite element simulation illustrate a close agreement with the numerical method results. The results demonstrate that GPLs’ weight function, the ratio of panel curvature (R1/R2), GPLs’ pattern, and size-dependent parameters have noticeable effects on the frequency and critical temperature characteristics of the GPLs-reinforced composite (GPLRC) curved panel. The favorable suggestion of this survey is that when designing the GPLRC structure, special attention should be paid to size-dependent parameters because the nonlocal and length scale parameters have an essential role in the static and dynamic behaviors of the GPLRC panel.

show abstract

Free vibration analysis of bilayered circular micro-plate including surface effects

Cited by 24 publications

References 33 publications

Frequency characteristics of a viscoelastic graphene nanoplatelet–reinforced composite circular microplate

Frequency characteristics of a viscoelastic graphene nanoplatelet–reinforced composite circular microplate

Frequency characteristics of a GPL-reinforced composite microdisk coupled with a piezoelectric layer

Critical Temperature and Frequency Characteristics of GPLs-Reinforced Composite Doubly Curved Panel

Contact Info

Product

Resources

About