Free vibration Analysis of Functionally Graded Beams by Finite Element Method

Abstract

This paper presents the free vibration analysis of functionally graded beams. A finite element model has been developed here using the ANSYS 15.0 software to study the free vibration characteristics of the FG beams. Shell 281 element, an 8-noded element with six degrees of freedom suited for analyzing thin to moderately thick structures is considered in the development of the model. Block Lanczos method is adopted to extract the mode shapes to obtain the natural frequency corresponding to free vibration of the FG beams. The effects of parametric variation on the natural frequency of the FG beams for various power law index and different boundary conditions are studied and results are presented.