Vibration of functionally graded shear and normal deformable porous microplates via finite element method

Küçük Resim Yok

Tarih

2020

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Elsevier Sci Ltd

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

The size dependent natural frequencies of functionally graded (FG) shear and normal deformable porous square microplates are investigated within this paper for arbitrary boundary conditions. By utilizing the modified couple stress theory, the finite element model is developed based on a shear and normal deformation plate theory and the variational formulation. The material length scale parameter (MLSP) is taken as variable. The effects of the aspect ratio, gradient index, boundary condition, thickness to MLSP ratio, porosity volume fraction and variable MLSP on the dimensionless natural frequencies are investigated for the FG shear and normal deformable porous square microplates. It is found that the difference between the numerical computations employing the constant and variable material length scale parameters is significant. In addition, it is found that with an increment in the aspect ratio, the effect of the MLSP on the natural frequencies increases, especially for the thick microplates. It can be concluded that for the thick microplates (length/thickness <= 10), the effect of the variable MLSP on the natural frequencies with respect to the changing of the thickness to MLSP is more emphasized than the effect obtained by the constant MLSP for all studied boundary conditions.

Açıklama

Anahtar Kelimeler

Free Vibration, Functionally Graded Porous Microplate, Modified Couple Stress Theory, Finite Element Method, Variable Material Length Scale Parameter, Size-Dependent Behavior, Length Scale Parameter, Strain Gradient Theory, Higher-Order Shear, Sandwich Beams, Isogeometric Analysis, Laminated Composite, Bending Analysis, Levy Solution, Buckling Analysis

Kaynak

Composite Structures

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

237

Sayı

Künye