Free vibration and static analysis of functionally graded beams with the higher-order finite element model
Küçük Resim Yok
Tarih
2023
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Gumushane University
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
In this study, free vibration and static analysis of functionally graded (FG) beams with the finite element method based on high-order shear deformation beam theory are investigated. A finite element with 5 nodes and 16 degrees of freedom is proposed for the finite element method. The material property of the FG beam changes depending on a specific power-law function along the beam thickness. Equilibrium equations are derived from the Lagrange's equation. Dimensionless natural frequencies, dimensionless displacements, and dimensionless normal and shear stresses of FG beam were obtained according to different power-law indexes (p), various boundary conditions, and various slenderness (L/h). The results obtained from the study were compared with the literature and it was seen that the proposed finite element gave very good results for FG beams. It is concluded that the proposed high-order shear deformation beam element can be used to solve such problems. With the power-law index value increase, the dimensionless natural frequencies decrease while the dimensionless maximum displacements increase. © 2023, Gumushane University. All rights reserved.
Açıklama
Anahtar Kelimeler
Finite element method, Free vibration analysis, Functionally graded beam, Higher-order shear deformation beam theory, Static analysis
Kaynak
Gumushane Universitesi Fen Bilimleri Dergisi
WoS Q Değeri
Scopus Q Değeri
Cilt
13
Sayı
2
