Bending analysis of two-directional functionally graded beams using trigonometric series functions
Küçük Resim Yok
Tarih
2022
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Springer
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In the present paper, Navier's method based on the first-order shear deformation theory for bending analysis of two-directional functionally graded beams subjected to various sets of boundary conditions is presented. In Navier's method, different trigonometric series functions are proposed for each boundary condition. The accuracy of these proposed functions was investigated and compared with the literature. It is also presented in a parametric study. The governing equations are derived according to Lagrange's principle. The variation of the components of the beam material in the volume is defined by a power-law rule. The normalized maximum transverse deflections, the normalized axial and transverse shear stresses are obtained for various boundary conditions, gradation exponents (p(x), p(z)) in the x- and z-directions, and the slenderness (L/h). The trigonometric series functions used in this study give results that are quite compatible with the literature. In addition, the parametric study contributes to the literature.
Açıklama
Anahtar Kelimeler
Two-directional functionally graded materials, Navier's method, Bending analysis, First-order shear deformation theory, Trigonometric series functions
Kaynak
Archive of Applied Mechanics
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
92
Sayı
6
