Free vibration analysis of cross-ply laminated composite beams by mixed finite element formulation
Küçük Resim Yok
Tarih
2013
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
In this study, a mixed-finite element method for free vibration analysis of cross-ply laminated composite beams is presented based on the Euler-Bernoulli Beam Theory and Timoshenko Beam Theory. The Gâteaux differential approach is employed to construct the functionals of laminated beams using the variational method. By using these functionals in the mixed-type finite element method, two beam elements CLBT4 and FSDT8 are derived for the Euler-Bernoulli and Timoshenko beam theories, respectively. The CLBT4 element has four degrees of freedom (DOFs), containing the vertical displacement and bending moment as unknowns at the nodes, whereas the FSDT8 element has eight DOFs, containing the vertical displacement, bending moment, shear force and rotation as unknowns. A computer program is developed to execute the analyses for the present study. The numerical results of free vibration analyses obtained for different boundary conditions are presented and compared with results available ithe literature, which indicates the reliability of the present approach. © 2013 World Scientific Publishing Company.
Açıklama
Anahtar Kelimeler
Composite beams, finite element, free vibration, Gâteaux differential method
Kaynak
International Journal of Structural Stability and Dynamics
WoS Q Değeri
Scopus Q Değeri
Q1
Cilt
13
Sayı
2