Numerical Model of Induction Shrink Fits in Monolithic Formulation

Induction heating-based assembly of axisymmetric shrink fits is modeled. The task represents a triply coupled evolutionary problem characterized by mutual interaction of electromagnetic field, temperature field, and field of thermoelastic displacements. Its numerical solution is performed by a fully adaptive higher-order finite element method in monolithic formulation, using a code developed by the authors. All nonlinearities of the system (magnetic permeability and temperature dependencies of all material parameters) are respected. The methodology is illustrated by a typical example whose results are discussed.

I. Introduction

Induction SHRINK FITS are joints widely used in numerous modern industrial and transport applications (shrunk-on rings, tires of railway wheels, armature bandages in electrical machines, fixing of machine tools, etc.). Their purpose is to transfer the force or torque effects. Their assembly is mostly realized by induction heating of the outer metal part containing a hole with the aim to increase its dimensions, inserting there another metal part, and consequent cooling of the whole system.