Static behaviour of functionally graded rotating cantilever beams using B-spline collocation technique

Abstract

The present work reports the static behaviour of functionally graded rotating beam based on Timoshenko beam theory, which includes the effect of shear deformation. The principle of virtual displacement is applied to derive a governing equation for the functionally graded (FG) rotating beam, considering the centrifugal stiffening effect. The B-spline collocation technique is employed to solve the differential equation and material properties are function of power law distribution. The effect of material power index and rotational speed on the static characteristics of functionally graded rotating cantilever beams has been investigated for two different slenderness ratios. The obtained results demonstrate the beam deflection and the beam normal and shear stresses for the power gradient and rotational speed values. The results help to conclude that material gradation can be utilized to improve the functioning of the rotating structures such as helicopter rotor, aircraft propellers, windmill blades etc.

Keywords

• functionally graded material
• rotating beam
• b-spline collocation method
• static behaviour
• stress and deformation analysis