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Meccanica
Erschienen in: Meccanica 10/2014

01.10.2014

Vibration analysis of nonhomogeneous orthotropic cylindrical shells including combined effect of shear deformation and rotary inertia

verfasst von: A. M. Najafov, A. H. Sofiyev, N. Kuruoglu

Erschienen in: Meccanica | Ausgabe 10/2014

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Abstract

This paper is the result of an investigation on the vibration of non-homogeneous orthotropic cylindrical shells, based on the shear deformation theory. Assume that the Young’s moduli, shear moduli and density of the orthotropic material are continuous functions of the coordinate in the thickness direction. The basic equations of non-homogeneous orthotropic cylindrical shells with the shear deformation and rotary inertia are derived in the framework of Donnell-type shell theory. The ends of a non-homogeneous orthotropic cylindrical shell are considered as simply supported. The basic equations are reduced to the sixth-order algebraic equation for the frequency using the Galerkin method. Solving this algebraic equation, the lowest values of non-dimensional frequency parameters for non-homogeneous orthotropic cylindrical shells with and without shear deformation and rotary inertia are obtained. Calculations, effects of shear stresses and rotary inertia, orthotropy, non-homogeneity and shell geometry parameters on the lowest values of non-dimensional frequency parameter are described. The results are verified by comparing the obtained values with those in the existing literature.
Vorheriger Artikel Two-dimensional elasticity solution for bending of functionally graded beams with variable thickness
Nächster Artikel A strong formulation finite element method (SFEM) based on RBF and GDQ techniques for the static and dynamic analyses of laminated plates of arbitrary shape

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Metadaten
Titel
Vibration analysis of nonhomogeneous orthotropic cylindrical shells including combined effect of shear deformation and rotary inertia
verfasst von
A. M. Najafov
A. H. Sofiyev
N. Kuruoglu
Publikationsdatum
01.10.2014
Verlag
Springer Netherlands
Erschienen in
Meccanica / Ausgabe 10/2014
Print ISSN: 0025-6455
Elektronische ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-014-9989-7

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