Vibration of Three-Layered FGM Cylindrical Shells with Middle Layer of Isotropic Material for Various Boundary Conditions

• 作者: Abdul Ghafar Shah Awais Gul Khan Madiha Gamkhar Muhammad Nawaz Naeem Shahid Hussain Arshad
• 来源期刊: 力学国际期刊(英文)
• 学科: 物理学
• 关键词: Functionally Graded MATERIAL ISOTROPIC MATERIAL Three-Layered Cylindrical SHELL Love’s Thin SHELL Theory Rayleigh-Ritz Method Natural Frequency
• 年，卷（期）: 2014,（11）
• 页码范围: 315-331
• 页数: 17页
• 分类号: O3

摘要

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.