Parametric instability and property variation analysis of a rotating cantilever FGO beam

Abstract

This report is presented on the parametric excitation and dynamic stability of functionally graded ordinary (FGO) rotating cantilever Timoshenko beam. The equation of motion is derived using Finite element method in conjunction with Hamilton’s principle. Floquet’s theory is used to establish the stability boundaries. It is assumed that the properties along the depth of the FGO material beam follows the power law with different indices as well as exponential distribution law. The elastic property variation using power law at different indices and a comparison of elastic property variation between using power law at n=0.5 and exponential law along the thickness of FGO beam have been investigated. The properties drawn by Exponential distribution confirms better stability compared to properties drawn by power law.