Volume 19, Issue 2, 2010

LETTER: VIBRATION AND BUCKLING ANALYSIS OF CYLINDRICAL SHELLS MADE OF FUNCTIONALLY GRADED MATERIALS UNDER COMBINED STATIC AND PERIODIC AXIAL FORCES

F. Ebrahimi* , H.A. Sepiani

Department of Mechanical Engineering, University of Tehran, North Karegar Avenue, Tehran, P.O.Box 11365-4563, Iran

* Author to whom correspondence should be addressed, e-mail: febrahimy@ut.ac.ir

Received 31 January 2010; accepted 3 February 2010

ABSTRACT
In this study, a formulation for the free vibration and buckling of cylindrical shells made of functionally graded material (FGM) subjected to combined static and periodic axial loadings are presented. The properties are tem¬perature dependent and graded in the thickness direction according to a volume fraction power law distribution. The analysis is based on two different methods of first-order shear deformation theory (FSDT) considering the transverse shear strains and the rotary inertias and the classical shell theory (CST). The results obtained show that the effect of transverse shear and rotary inertias on vibration and buckling of functionally graded cylindri¬cal shells is dependent on the material composition, the temperature environment, the amplitude of static load, the deformation mode, and the shell geometry parameters.

Keywords: Functionally graded material; FSDT; CST; Vibration; Buckling; cylindrical shell