Abstract
In this study, vibration frequency analysis of three layered
functionally graded material (FGM) cylinder-shaped shell is studied with
FGM central layer whereas the internal and external layers are of the
same isotropic materials. Sander’s shell theory is applied for strain and
curvature-displacement relationships. The Rayleigh Ritz method is employed to attain the shell frequency equation. Influence on natural frequencies (NFs) is observed for various volume fraction laws. The characteristic beam functions are used to estimate the dependence of axial modal
functions. Results are obtained for thickness to radius ratios and length to
radius ratios for different edge conditions. The validity of this method is
checked for numerous results found in the open literature.
Madiha Ghamkhar, M. Nawaz Naeem, Muhammad Imran. (2020) Vibration frequency analysis of three-layered cylinder shaped shell with FGM middle layer under effect of various volume fraction laws, Punjab University Journal of Mathematics, Volume 52 , Issue-12.
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