A semi-analytical finite element model for the analysis of cylindrical shells made of functionally graded materials Academic Article

abstract

• In the present work, a study of free vibrations of functionally graded cylindrical shells made up of isotropic properties is carried out. A semi-analytical axisymmetric finite element model using the 3D linear elastic theory is developed. The 3D equations of motion are reduced to 2D by expanding the displacement field in Fourier series in the circumferential direction, involving circumferential harmonics. The material properties are graded in the thickness direction according to a power law. The model has been verified with simple benchmark problems and the results show that the frequency characteristics are found to be close to published results of isotropic cylindrical shells. New results are included for FGM shells. 2009.

authors

• Reddy, Junuthula

published proceedings

• COMPOSITE STRUCTURES

author list (cited authors)

• Santos, H., Mota Soares, C. M., Mota Soares, C. A., & Reddy, J. N.

citation count

• 53

complete list of authors

• Santos, H||Mota Soares, Cristóvão M||Mota Soares, Carlos A||Reddy, JN

publication date

• December 2009

publisher

• Elsevier  Publisher

published in

• Composite Structures  Journal

keywords

• 3d Elasticity Theory
• Axisymmetric Shells
• Fgm
• Finite Elements
• Free Vibrations

Digital Object Identifier (DOI)

• 10.1016/j.compstruct.2009.04.008

start page

• 427

end page

• 432

volume

• 91

issue

• 4

URL

• http://dx.doi.org/10.1016/j.compstruct.2009.04.008