TITLE:
Vibration of Three-Layered FGM Cylindrical Shells with Middle Layer of Isotropic Material for Various Boundary Conditions
AUTHORS:
Muhammad Nawaz Naeem, Awais Gul Khan, Shahid Hussain Arshad, Abdul Ghafar Shah, Madiha Gamkhar
KEYWORDS:
Functionally Graded Material, Isotropic Material, Three-Layered Cylindrical Shell, Love’s Thin Shell Theory Rayleigh-Ritz Method, Natural Frequency
JOURNAL NAME:
World Journal of Mechanics,
Vol.4 No.11,
November
24,
2014
ABSTRACT: In the
present study, vibration analysis of a three-layered cylindrical shell is performed
whose inner and outer layers are composed of functionally graded materials
whereas the middle one is assumed to be of isotropic material. This formation
of a cylindrical shell influences stiffness modulii and the resultant material
properties. The shell problem is formulated from the constitutive relations of
stresses and strains with the displacement deformations and they are taken from
Love’s thin shell theory. This problem is transformed into the integral form by
evaluating the expressions for the strain and kinetic energies of the shell.
Rayleigh-Ritz method is employed to solve the shell dynamic equations.
Vibration characteristics of these cylindrical shells are investigated for a
number of physical parameters and configurations of the fabrication of shells.
The axial modal dependence is approximated by the characteristic beam functions
that satisfy the boundary conditions. Results evaluated, show good agreement
with the open literature.