Effect of Porosity on the Static Response of Rotating and Non-Rotating Porous Timoshenko Beam

This study aims to determine the effect of porosity on the static response of rotating and non-rotating porous beam. Timoshenko beam theory has been used and the governing equation has been solved via B-spline collocation technique. The material distribution is a function of power law along the height of the beam, even and uneven distribution of porosity has been considered. The parameter such as power index, porosity coefficient and rotational speed have been varied. Deflection and stress variation has been plotted for even and uneven distribution of porosity for relative study. The outcome reveals that effect of even distribution of porosity is higher than uneven porosity. The study also shows that rotation of the beam has significant impact on the deflection and stress distribution of the beam and also reveals that porous beams can be used where high strength and low stiffness is required.

Keywords:

Rotating beams , Timoshenko beams , Functionally Graded Material , Porosity , b-Spline Collocation