Finite Element Simulation of Bending Stress on Involute Spur Gear Tooth Profiles

Article Preview

Abstract:

This study investigated bending stress distribution on involute spur gear tooth profiles with pressure angle of 20 ̊ but different modules 2.5, 4.0 and 6.0 mm, using a finite-element-based simulation package - AutoFEA JL Analyzer. The drafting of the geometry for the three gear tooth profiles were implemented on the platform of VB-AutoCAD customized environment, before importing to the package. These were separately subjected to analysis for bending stresses for a point at the tooth fillet region with appropriate settings of material property, load and boundary conditions. With the same settings, the bending stresses were computed analytically using American Gear Manufacturers Association (AGMA) established equation. The results of the two approaches were in good agreement, with maximum relative deviation of 4.38%. This informed the confidence in the implementation of the package to investigate the variation of bending stress within the gear tooth profile. The simulation revealed decrease in the bending stresses at the investigated regions with increase in the module of the involute spur-gear. The study confirms that Finite element simulation of stresses on gear tooth can be obtained accurately and quickly with the AutoFEA JL Analyzer.

You might also be interested in these eBooks

Info:

Pages:

1-10

Citation:

Online since:

May 2017

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2017 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] Gurumani, R. and Shanmugam S., Modeling and Contact Analysis of Crowned Spur Gear Teeth, Engineering Mechanics, Vol. 18, No. 1, p.65–78. (2011).

Google Scholar

[2] Oladejo, K. A., Ojebisi, D. A. and Adegoke, E. O., Investigative Study on Parameters involved in Form-milling the Teeth of Involutes Spur Gear,. The Engineer, Journal of Engineering and Technology, Nigeria, Vol. 4 No. 1, p.27 – 29, (2007).

Google Scholar

[3] Cavdar, K., Karpat F. and Babalik, F. C., Computer Aided Analysis of Bending Strength of Involutes Spur Gears with Asymmetric Profile, Journal of Mechanical Design ASME, 127 (3), 2005, p.477– 484.

DOI: 10.1115/1.1866158

Google Scholar

[4] Litvin, F. L., Chen, J. S., Lu, J. and Handschuh, R. F., Application of Finite Element Analysis for Determination of Load Share, Real Contact Ratio, Precision of Motion, and Stress Analysis, Journal of Mechanical Design, ASME, 118 (4), p.561–567, (1996).

DOI: 10.1115/1.2826929

Google Scholar

[5] Litvin, F. L., De Donno, Peng, M., Vorontsov, A. A. and Handschuh, R. F., Integrated Computer Program for Simulation of Meshing and Contact of Gear, CMA. J. Mechanics and Engineering. 181, pp.71-85, (2000).

DOI: 10.1016/s0045-7825(99)00068-7

Google Scholar

[6] Kawalec, A., Wiktor, J. and Ceglarek, D. Comparative Analysis of Tooth-Root Strength Using ISO and AGMA Standards in Spur and Helical Gears with FEM-based Verification, Journal of Mechanical Design, ASME, Vol. 128, pp.1141-1157, (2006).

DOI: 10.1115/1.2214735

Google Scholar

[7] Oladejo, K. A. and Ogunsade, A. A., Drafting of Involute Spur-Gears in AutoCAD-VBA Customized Environment, Advancement in Science and Technology Research, (ASTR), Vol. 1 (2), pp.18-26, 2014. http: /www. netjournals. org/z_ASTR_14_026. html.

Google Scholar

[8] Barkah, D., Shafiq, B. and Dooner, D., 3D Mesh Generation for Static Stress Determination in Spiral Noncircular Gears Used for Torque Balancing, Journal of Mechanical Design, American Society of Mechanical Engineers (ASME), 124 (2), p.313–319, (2002).

DOI: 10.1115/1.1470492

Google Scholar

[9] Argyris, J., Alfonso, F. and Litvin, F. L., Computerized Integrated Approach for Design and Stress Analysis of Spiral Bevel Gears, CMA. J. Mechanics and Engineering. 191, pp.1057-1095, (2002).

DOI: 10.1016/s0045-7825(01)00316-4

Google Scholar

[10] Guingand, M., De Vaujany, J. P. and Icard, Y., Fast Three-Dimensional Quasi-Static Analysis of Helical Gears Using the Finite Prism Method, Journal of Mechanical Design ASME, 126 (6), Technology, Nigeria, Vol. 4 No. 1, p.27 – 29, (2007).

DOI: 10.1115/1.1798212

Google Scholar

[11] Velex, P. and Baud, S., Static and Dynamic Tooth Loading in Spur and Helical Geared Systems: Experiments and Model Validation, Journal of Mechanical Design, ASME, 124 (2), p.334–346, (2002).

DOI: 10.1115/1.1462044

Google Scholar

[12] Liu, G. R. and Quek, S. S., The Finite Element Method: A Practical Course, Butterworth-Heinemann, Oxford, (2003).

Google Scholar

[13] Ugural, A. C., Mechanical Design: Integrated Approach,. 1st Edition. McGraw-Hill Companies Inc., New York, (2004).

Google Scholar

[14] Shigley, J. E. and Mischke, C. R., Mechanical Engineering Design,; 6th edition; Mc-Graw Hill, New York, (2001).

Google Scholar

[15] Wang, M. J., A New Photoelastic Investigation of the Dynamic Bending Stress of Spur Gears, Journal of Mechanical Design, ASME, 125 (2), p.365–372, (2003).

DOI: 10.1115/1.1563636

Google Scholar

[16] Refaat, M. H. and Megui, S.A., On the Contact Stress Analysis of Spur Gears using Variational inequalities, Computers and Structures, Elsevier, 57(5), p.871 – 882, (1994).

DOI: 10.1016/0045-7949(95)00080-z

Google Scholar

[17] Ajayi, A. S. and Aderinola, O. O., Finite Element Simulation of Bending Stress on Gear Tooth,; B. Sc. Thesis; Department of Mechanical Engineering, Obafemi Awolowo University, Ile-Ife, Nigeria, (2008).

DOI: 10.30880/jtet.2021.13.01.003

Google Scholar