Numerical Analysis for Development of Hertz Contact Stresses in Cylindrical Roller Bearing and Their Distribution Using MATLAB

The IUP Journal of Mechanical Engineering, Vol. 3, No. 2, pp. 48-56, May 2010

Posted: 11 May 2010

See all articles by Pranav Darji

Pranav Darji

C U Shah College of Engineering & Technology

D. P. Vakharia

SV National Institute of Technology

Date Written: May 7, 2010

Abstract

In rolling bearing analysis, Hertzian contact theory is used to compute local contact stresses. Hertz’s analysis is applied only to surface stresses caused by a concentrated force applied perpendicular to the surface. Experimental evidence indicates that failure of rolling bearings in surface fatigue as caused by the aforementioned load emanates from points below the surfaces. Therefore, it is of interest to determine the magnitude of the subsurface stresses. The initiation and the propagation of the crack are mainly effected by the stress distribution below the surfaces, especially the shear stress distribution. Therefore, it is also important to analyze the stress condition below a contact surface and the depths where the shear stress is the maximum. Hence, in the present work, a complete numerical analysis is carried out for the calculation of subsurface stresses induced in the cylindrical roller bearing. Also a program is developed in MATLAB to understand the distribution of stresses under the surface.

Keywords: Hertz contact stress, Rolling element bearing, Fatigue spalling, Subsurface stresses, Photoelastic, MATLAB

Suggested Citation

Darji, Pranav H. and Vakharia, D. P., Numerical Analysis for Development of Hertz Contact Stresses in Cylindrical Roller Bearing and Their Distribution Using MATLAB (May 7, 2010). The IUP Journal of Mechanical Engineering, Vol. 3, No. 2, pp. 48-56, May 2010, Available at SSRN: https://ssrn.com/abstract=1601776

Pranav H. Darji (Contact Author)

C U Shah College of Engineering & Technology ( email )

Nr. Kotharia Village
Surendranagar, Gujarat 363030
India

D. P. Vakharia

SV National Institute of Technology ( email )

Ichchhanath
Surat Ichchhanath
Surat, GA Gujarat
India

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