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Analysis for Involute Spur Gears, the Bendings and Pittings Stress on Gears

Received: 24 June 2021    Accepted: 28 July 2021    Published: 30 September 2021
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Abstract

There are some constraints which affect the design of involute designs such as scoring wear, interference, bending stress, strength, pitting resistance etc. The concentration is focused on spur gear sets which are used to transmit motion between parallel shafts. The method of using manual calculations applied by gear designers and manufacturers to determine the bending and pitting stress on gears is time consuming, inefficient and can easily generate errors. This work aims to design gear analytically using AGMA standard, determimining the bending and contact stresses on the gear teeth usingComputer Aided and Computer Engineering Softwares to make gear stress calculations. Parameters in the AGMA stress equations were determined numerically, with MATLAB and Visual Studio software which was used to create graphical user interfaces that allows the bending and pitting stress on gears to be easily and accurately calculated. Results from the test performed showed that the bending fatigue strength in both the asymmetric tooth form and optimized fillet form is higher than that of baseline designs. There is a significant increment in scuffing resistance in the asymmetric tooth form when compared with a conventional symmetric involute tooth design. A variety of bending and pitting stresses of spur and helical gears problem can be handled by the created software, which can be useful for the gear designers, educaitional institutes and likes in gear problems.

Published in Applied Engineering (Volume 5, Issue 2)
DOI 10.11648/j.ae.20210502.13
Page(s) 51-59
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Spur Gears, Bending Stress, Pitting Stress, Surface Durability, Stress Calculations

References
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[2] Alexander, L. K. and Roderick, E. K, Direct Gear Design for Spur and Helical Involute Gears, Gear Technology, 2002, p. 29 – 35, www.geartechnology.com.
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[6] Brown, F. W., Davidson, S. R., Hanes, D. B. and Weires, D. J., Analysis and Testing of Gears with Asymmetric Involute Tooth Form and Optimized Fillet Form for Potential Application in Helicopter Main Drives, American Gear Manufacturers Association, AGMA Technical Paper, 10FTM14, 2010, p. 1-15.
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[8] Oladejo, K. A, Adetan, D. A, Ajayi, S. A, and Aderinola, O. O, FiniteElement Simulation of Bending Stress on Involute Spur Gear Tooth Profile, International Journal of Engineering Research in Africa, ISSN: 1663-4144, Vol. 30, 2017, p. 1-10 Revised: 2017-03-18, doi: 10.4028/www.scientific.net/JERA.30.1.
[9] Shanmugasundaram, S., Maasanamuthu S. R., and Muthusamy N., Profile Modification for Increasing the Tooth Strength in Spur Gear Using CAD, Engineering, 2, 2010, p. 740-749, http://www.SciRP.org/journal/eng.
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[13] Oladejo K. A, Abu, R, Oriolowo, K. T., Adetan D. A. and Bamiro, O. A., Development of Computer-Based Model for Design and Analyses of Worm Gearing Mechanism, EJERS, European Journal of Engineering Research and Science, Vol. 3, No. 12, 2018, p. DOI: http://dx.doi.org/10.24018/ejers.2018.3.12.1040.
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[17] Stephen, K. A., and Issifu I., A Computer Programme to Determine the Bending and Pitting Stresses of Gears and the Effect of Varying the AGMA Stress Equation Parameters on the Stress Values, Computer Engineering and Intelligent Systems, Vol. 5, No. 3, 2014, p. 50–65, www.iiste.org.
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[19] Prafulla, M. C, and Priam P., Spur Gear Contact Stress Analysis and Stress Reduction by Experiment Method, International Journal of Engineering Research and General Science Volume 3, Issue 3, 2015, p. 126–135, www.ijergs.org.
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Cite This Article
  • APA Style

    Oladejo Kolawole Adesola, Oriolowo Kolawole Taofik, Abu Rahaman, Ibitoye Oluwasanmi. (2021). Analysis for Involute Spur Gears, the Bendings and Pittings Stress on Gears. Applied Engineering, 5(2), 51-59. https://doi.org/10.11648/j.ae.20210502.13

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    ACS Style

    Oladejo Kolawole Adesola; Oriolowo Kolawole Taofik; Abu Rahaman; Ibitoye Oluwasanmi. Analysis for Involute Spur Gears, the Bendings and Pittings Stress on Gears. Appl. Eng. 2021, 5(2), 51-59. doi: 10.11648/j.ae.20210502.13

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    AMA Style

    Oladejo Kolawole Adesola, Oriolowo Kolawole Taofik, Abu Rahaman, Ibitoye Oluwasanmi. Analysis for Involute Spur Gears, the Bendings and Pittings Stress on Gears. Appl Eng. 2021;5(2):51-59. doi: 10.11648/j.ae.20210502.13

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  • @article{10.11648/j.ae.20210502.13,
      author = {Oladejo Kolawole Adesola and Oriolowo Kolawole Taofik and Abu Rahaman and Ibitoye Oluwasanmi},
      title = {Analysis for Involute Spur Gears, the Bendings and Pittings Stress on Gears},
      journal = {Applied Engineering},
      volume = {5},
      number = {2},
      pages = {51-59},
      doi = {10.11648/j.ae.20210502.13},
      url = {https://doi.org/10.11648/j.ae.20210502.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ae.20210502.13},
      abstract = {There are some constraints which affect the design of involute designs such as scoring wear, interference, bending stress, strength, pitting resistance etc. The concentration is focused on spur gear sets which are used to transmit motion between parallel shafts. The method of using manual calculations applied by gear designers and manufacturers to determine the bending and pitting stress on gears is time consuming, inefficient and can easily generate errors. This work aims to design gear analytically using AGMA standard, determimining the bending and contact stresses on the gear teeth usingComputer Aided and Computer Engineering Softwares to make gear stress calculations. Parameters in the AGMA stress equations were determined numerically, with MATLAB and Visual Studio software which was used to create graphical user interfaces that allows the bending and pitting stress on gears to be easily and accurately calculated. Results from the test performed showed that the bending fatigue strength in both the asymmetric tooth form and optimized fillet form is higher than that of baseline designs. There is a significant increment in scuffing resistance in the asymmetric tooth form when compared with a conventional symmetric involute tooth design. A variety of bending and pitting stresses of spur and helical gears problem can be handled by the created software, which can be useful for the gear designers, educaitional institutes and likes in gear problems.},
     year = {2021}
    }
    

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  • TY  - JOUR
    T1  - Analysis for Involute Spur Gears, the Bendings and Pittings Stress on Gears
    AU  - Oladejo Kolawole Adesola
    AU  - Oriolowo Kolawole Taofik
    AU  - Abu Rahaman
    AU  - Ibitoye Oluwasanmi
    Y1  - 2021/09/30
    PY  - 2021
    N1  - https://doi.org/10.11648/j.ae.20210502.13
    DO  - 10.11648/j.ae.20210502.13
    T2  - Applied Engineering
    JF  - Applied Engineering
    JO  - Applied Engineering
    SP  - 51
    EP  - 59
    PB  - Science Publishing Group
    SN  - 2994-7456
    UR  - https://doi.org/10.11648/j.ae.20210502.13
    AB  - There are some constraints which affect the design of involute designs such as scoring wear, interference, bending stress, strength, pitting resistance etc. The concentration is focused on spur gear sets which are used to transmit motion between parallel shafts. The method of using manual calculations applied by gear designers and manufacturers to determine the bending and pitting stress on gears is time consuming, inefficient and can easily generate errors. This work aims to design gear analytically using AGMA standard, determimining the bending and contact stresses on the gear teeth usingComputer Aided and Computer Engineering Softwares to make gear stress calculations. Parameters in the AGMA stress equations were determined numerically, with MATLAB and Visual Studio software which was used to create graphical user interfaces that allows the bending and pitting stress on gears to be easily and accurately calculated. Results from the test performed showed that the bending fatigue strength in both the asymmetric tooth form and optimized fillet form is higher than that of baseline designs. There is a significant increment in scuffing resistance in the asymmetric tooth form when compared with a conventional symmetric involute tooth design. A variety of bending and pitting stresses of spur and helical gears problem can be handled by the created software, which can be useful for the gear designers, educaitional institutes and likes in gear problems.
    VL  - 5
    IS  - 2
    ER  - 

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Author Information
  • Department of Mechanical Engineering, Faculty of Technology, Obafemi Awolowo University, Ile-Ife, Nigeria

  • Department of Industrial and Production Engineering, Faculty of Technology, University of Ibadan, Ibadan, Nigeria

  • Department of Mechanical Engineering, Faculty of Technology, University of Ibadan, Ibadan, Nigeria

  • Department of Mechanical Engineering, Faculty of Technology, Obafemi Awolowo University, Ile-Ife, Nigeria

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