Parametric Study of Externally Loaded Rotating Discs under Shrink Fit

Abstract

The present work proposes a numerical method, using a variational principle, to investigate the behaviour of shrink-fitted rotating discs carrying attached masses. Locked-up stresses are released due to shrink fit at a certain angular speed, and when the speed is increased further, a limit is reached when the maximum induced stress in the disc attains yield stress value. Taking the radial displacement field as unknown and assuming a series approximation of the unknown field following Galerkin's principle, the solution of the governing differential equation is obtained. The release speed and the limit angular speed of the disc are calculated for various system parameters and reported in the dimensionless form. The analysis is carried out for various disc geometries, and the effects of geometry and loading parameters on the stress and deformation states are also investigated.