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Technical Brief

Contact Stress Evaluation of Involute Gear Pairs, Including the Effects of Friction and Helix Angle

[+] Author and Article Information
Santosh S. Patil

Mem. ASME
Department of Mechanical Engineering,
Universiti Teknologi PETRONAS,
Bandar Seri Iskandar,
Tronoh 31750, Perak, Malaysia
e-mail: santosh045@gmail.com

Saravanan Karuppanan

Department of Mechanical Engineering,
Universiti Teknologi PETRONAS,
Bandar Seri Iskandar,
Tronoh 31750, Perak, Malaysia
e-mail: saravanan_karuppanan@petronas.com.my

Ivana Atanasovska

Innovation Center of Faculty of Mechanical Engineering,
University of Belgrade,
Belgrade 11000, Serbia
e-mail: iatanasovska@mas.bg.ac.rs

1Corresponding author.

Contributed by the Tribology Division of ASME for publication in the JOURNAL OF TRIBOLOGY. Manuscript received December 20, 2014; final manuscript received March 24, 2015; published online May 11, 2015. Assoc. Editor: Jordan Liu.

J. Tribol 137(4), 044501 (Oct 01, 2015) (5 pages) Paper No: TRIB-14-1311; doi: 10.1115/1.4030242 History: Received December 20, 2014; Revised March 24, 2015; Online May 11, 2015

The aim of this technical brief is to provide a new viewpoint of friction factor for contact stress calculations of gears. The idea of friction factor has been coined, for the calculation of contact stresses along the tooth contact for different helical gear pairs. Friction factors were developed by evaluating contact stresses with and without friction for different gear pairs. In this paper, three-dimensional (3D) finite element method (FEM) and Lagrange multiplier algorithm have been used to evaluate the contact stresses. Initially, a spur gear finite element (FE) model was validated with the theoretical analysis under frictionless condition, which is based on Hertz's contact theory. Then, similar FE models were constructed for 5 deg, 15 deg, 25 deg, and 35 deg helical gear pairs. The contact stresses of these models were evaluated for different coefficients of friction. These results were employed for the development of friction factor.

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References

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Patil, S. S., and Karuppanan, S., Atanasovska, I., and Wahab, A. A., 2014, “Contact Stress Analysis of Helical Gear Pairs, Including Frictional Coefficients,” Int. J. Mech. Sci., 85, pp. 205–211. [CrossRef]
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ANSYS Release 12.0, 2009, Structural Analysis Guide, ANSYS, Canonsburg, PA.
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Gopinath, K., and Mayuram, M. M., 2013, “Helical Gears, Machine Design II, IIT-Madras, Module 2, Lecture 11,” http://nptel.ac.in/courses/IIT-MADRAS/Machine_Design_II/pdf/2_11.pdf

Figures

Grahic Jump Location
Fig. 1

Meshed spur gear model along with the boundary conditions: (a) point A, (b) point B, (c) point C, (d) point D, and (e) point E

Grahic Jump Location
Fig. 2

von Mises equivalent contact stress distribution along the characteristic contact points: (a) point A, (b) point C, and (c) point E

Grahic Jump Location
Fig. 3

Validation plot of active contact stresses along the path of contact

Grahic Jump Location
Fig. 4

Sample of von Mises stress distributions at pitch point contact for: (a) μ = 0.0 case and (b) μ = 0.3 case

Grahic Jump Location
Fig. 5

Friction factor at pitch point contact for a spur gear pair

Grahic Jump Location
Fig. 6

Friction factor for different gear sets with varying coefficients of friction

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