Vibration Analysis of CNT Based Functionally Graded Shell
Structures Under Impact Loading

Abstract

The present study deals with the vibration analysis of functionally graded (FG) shell structures reinforced with carbon nanotube (CNTS) under impact loading. A mathematical model is formulated based on the Mori-Tanaka Method for the material properties of CNTS based FG composites shell structure. The different volume fractions of CNTS and different type of FG gradation such as UD, FG-X, FG-O, and FG-V are considered. The gradation of CNTS is along the thickness direction of the FG composites shell structure using power law of gradation. In this study, the FG composite is forming by incorporation of single-walled carbon nanotubes (SWCNTS) as fibre phase with the epoxy as the matrix phase. The finite element model of FG shell structures with impactor is developed using the ANSYS parametric design language (APDL) in ANSYS 15.0. For modelling of FG shell structures and impactor, ANSYS element SHELL163 and SOLID168 are used respectively. The solution is obtained for impactor displacement, central displacement of shell and contact force under the impact loading of the impactor. The effects of various CNTS volume fractions and distributions are also carried out and discussed.