Volume 48, No 3, 2026, Pages 632-644
Download full text in PDFMathematical Modeling of Surface Roughness Effects in Shaft-Hub Interference Fits
Authors:
Manuel Salgado-Cruz 
,
Claudia Cortés-García 
,
Eladio Martínez-Rayón ,
Jorge Colín-Ocampo ,
Luis Vázquez-Sánchez ,
José M. A. Castillo-Minjarez ,
Javier Cortés-Benigno ,
Gibran J. Garnica-Castro ,
Oliver M. Huerta-Chávez
DOI: 10.24874/ti.2098.12.25.04
Received: 3 December 2025
Revised: 3 February 2026
Accepted: 14 April 2026
Published: 15 September 2026
Abstract:
This study presents an analytical model to evaluate the impact of turning-induced surface roughness on the mechanical response of shaft-hub interference fits. Surface topography is modeled using a sinusoidal function linked to machining parameters, enabling the prediction of real contact area, contact pressure, and extraction force. Analyzing three profile conditions, results show that peak-dominated surfaces significantly reduce joint strength, while valley-dominated profiles drastically increase extraction capacity due to mechanical interlocking. Validated against experimental data, this model offers a fast and reliable alternative to Finite Element Analysis (FEA) for designing interference fits under realistic surface conditions.
Keywords:
Shaft–hub interference fit, Mathematical modeling, Turning process, Surface roughness, Extraction force
