Bore optimization for rotating hollow shallow shell

Abstract

This paper is concerned with the minimization of the hoop stress at the bore due to the combined membrane and bending action for a rotating hollow shallow shell. A novel iterative scheme is developed to apply the free boundary conditions at the rim and the bore. Hoop stress concentration factors are presented for 16 different combinations of shell thickness and rim radius to arrive at the optimum bore size. The results also reveal the importance of the shell thickness for an optimum bore size to ensure a reasonably uniform hoop stress distribution along the radius of the shell.