Asymmetric Shrink Fit of a Cylindrical Shell

Abstract

In this paper the point-matching method is used to calculate the asymmetric contact pressure and stress distribution of a cylindrical shell induced by shrinking an asymmetric disk (which has a circular disk, sectors and ribs). The classical theory of thin shells developed by Flugge is used to calculate the asymmetric displacement of the shell and two-dimensional elasticity theory is used to calculate that of the disk. In calculating the radial displacements of the disk, sectors and ribs are in contact with the circular disk and the stress functions for the sectors and circular disk are used. The calculated distribution of the radial displacements of the cylindrical shell is in good agreement with the experimental data. The axisymmetric stress resultant N_φ, moment resultant M_s and asymmetric moment resultants M_φ, M_sφ are dominant stresses in the shell.