Effects of exponential volume fraction law on the natural frequencies of FGM cylindrical shells under various boundary conditions |
| |
| Authors: | Shahid Hussain Arshad Muhammad Nawaz Naeem Nazra Sultana Zafar Iqbal Abdul Ghafar Shah |
| |
| Institution: | 1.Department of Mathematics,University of Sargodha,Sargodha,Pakistan;2.Department of Mathematics,G. C. University Faisalabad,Faisalabad,Pakistan;3.Department of Mathematics,The Islamia University of Bahawalpur,Bahawalpur,Pakistan |
| |
| Abstract: | In the present work, vibration characteristics of thin functionally graded cylindrical shells are studied under the influence
of various boundary conditions. Fabrication of FGM cylindrical shell is carried out by using exponential volume fraction law.
Strain- and curvature-displacements relationships are taken from Love’s thin shell theory. The frequency equation in the form
of eigenvalue problem is obtained by adapting the Rayleigh-Ritz method. Characteristic beam functions are assumed to approximate
the axial modal dependence. Effects of exponential volume fraction law on the natural frequencies of the FGM cylindrical shells
for various boundary conditions are studied against circumferential wave number, length to radius ratio and thickness to radius
ratio for different values of power law exponents. Results evaluated show good agreement with those available in the literature. |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
