Niğde Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi

Yazarlar: Merve ERMİŞ

Konular:İnşaat Mühendisliği

DOI:10.28948/ngumuh.823385

Anahtar Kelimeler:Exact helix geometry,Functionally graded material,Finite element,Warping,Free vibration analysis

Özet: The objective of this study is to investigate the natural frequencies of axially functionally graded (AFG) non-circular (barrel, hyperboloidal and elliptical) helices based on exact geometry. Free vibration analysis is performed using the mixed finite element method based on Timoshenko beam theory by considering cross-sectional warping effect. A two-noded curved finite element involves 12 field variables at each node, three displacements, three cross-sectional rotations, three forces, and three moments. The free vibration analysis of axially FG exact non-circular helical geometries is discussed in detail over different boundary conditions and material gradient indexes. After verifying the algorithm with the problems available in the literature and ANSYS software, original problems for the literature are solved.

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