Limit elastic speed analysis for functionally graded rotating beam

Abstract

This study aims to determine the limit elastic angular speed of the rotating beam made up of functionally graded material. The speed at which the material yielding is instigated is termed as limit elastic speed. Assuming material distribution as function of power law, modified rule of mixture was used to determine the distribution of material properties and later was used to calculate the effective yield stress for different volume fraction index. A metal matrix of aluminium has been considered with a reinforcement of silicon carbide. The B-spline collocation method has been used to solve the governing equation obtained using the principle of virtual work. This paper outlines the effect of volume fraction on the deformation and stress at limit elastic speed; influence of slenderness ratio on the limit speed was also reported.