Bending analysis of two-directional functionally graded beams using trigonometric series functions
ARCHIVE OF APPLIED MECHANICS, cilt.92, sa.6, ss.1841-1858, 2022 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 92 Sayı: 6
- Basım Tarihi: 2022
- Doi Numarası: 10.1007/s00419-022-02152-y
- Dergi Adı: ARCHIVE OF APPLIED MECHANICS
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Civil Engineering Abstracts
- Sayfa Sayıları: ss.1841-1858
- Karadeniz Teknik Üniversitesi Adresli: Hayır
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.