Technical Briefs

Assessment of Elliptical Conformal Hertz Analysis Applied to Constant Velocity Joints

[+] Author and Article Information
Chul-Hee Lee1

Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801

Andreas A. Polycarpou2

Department of Mechanical Science and Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801polycarp@illinois.edu


Presently with INHA University, South Korea.


Corresponding author.

J. Tribol 132(2), 024501 (Mar 24, 2010) (3 pages) doi:10.1115/1.4000735 History: Received June 02, 2009; Revised November 20, 2009; Published March 24, 2010; Online March 24, 2010

To analyze the contact between two spherical bodies with different radii of curvature, the three-dimensional (3D) Hertz theory for elliptical contact is typically used. When the two contacting bodies have high conformity, such as the case for ball-in-groove, the Hertz theory may break down. In this research, finite element analysis (FEA) was used to assess the validity of 3D Hertz theory as found in the roller-housing contact of constant velocity joints. The contact area, normal approach, and contact pressure results show that Hertz agrees with FEA predictions for low compressive loads, where the contact ellipse is within the geometrical contact dimensions. At higher loads the contact ellipse extends beyond the contacting geometrical dimensions and the simplified analytical Hertz results diverge from the FEA results.

Copyright © 2010 by American Society of Mechanical Engineers
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Figure 1

Cross-section view of tripod CV joint contacts

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Figure 2

FEA model for the contact between roller and housing (designated as 1 in Fig. 1)

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Figure 3

Hertz and FEA comparison of contact parameters: (a) contact area, (b) normal approach, and (c) maximum contact pressure

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Figure 4

Hertz and FEA comparison (P=12,512 N) of contact pressure distributions: (a) along semi-axis a and (b) along semi-axis b



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