Vol. 13, No. 3, 2018

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Shaft-hub press fit subjected to couples and radial forces: analytical evaluation of the shaft-hub detachment loading

Enrico Bertocchi, Luca Lanzoni, Sara Mantovani, Enrico Radi and Antonio Strozzi

Vol. 13 (2018), No. 3, 283–296
Abstract

A shaft-hub press fit subjected to two non-axisymmetric loading conditions is examined and the situation of incipient detachment between the shaft and the hub is determined. The first condition consists of a central radial load P applied to the hub, balanced by two lateral forces P2 applied to the shaft at a distance d from the hub lateral walls. In the second condition, a central couple C is applied to the hub, and it is balanced by two lateral opposite loads withstood by the shaft at a distance d from the hub lateral walls. The shaft-hub contact is modelled in terms of two elastic Timoshenko beams connected by distributed elastic springs (Winkler foundation), whose constant is analytically evaluated. Based upon this enhanced beam-like modelling, the loading inducing an undesired shaft-hub incipient detachment is theoretically determined in terms of the shaft-hub geometry, of the initial shaft-hub interference, and of the elastic constants. Finite element forecasts are presented to quantify the error of this beam-like approximate analytical approach.

Keywords
press fit, incipient detachment, analytical solution, Winkler foundation, finite elements
Milestones
Received: 20 November 2017
Revised: 26 April 2018
Accepted: 30 April 2018
Published: 31 August 2018
Authors
Enrico Bertocchi
DIEF-Dipartimento di Ingegneria Enzo Ferrari
Università di Modena e Reggio Emilia
Via Pietro Vivarelli 10
41125 Modena
Italy
Luca Lanzoni
DIEF-Dipartimento di Ingegneria Enzo Ferrari
Università di Modena e Reggio Emilia
Via Pietro Vivarelli 10
41125 Modena
Italy
Sara Mantovani
DIEF-Dipartimento di Ingegneria Enzo Ferrari
Università di Modena e Reggio Emilia
Via Pietro Vivarelli 10
41125 Modena
Italy
Enrico Radi
DISMI-Dipartimento di Scienze e Metodi dell’Ingegneria
Università di Modena e Reggio Emilia
Via Amendola, 2
42122 Reggio Emilia
Italy
Antonio Strozzi
DIEF-Dipartimento di Ingegneria Enzo Ferrari
Università di Modena e Reggio Emilia
Via Pietro Vivarelli 10
41125 Modena
Italy