Skip to main content

Theory and Applications Based on S-Gear Geometry

  • Chapter
  • First Online:
Recent Advances in Gearing

Abstract

The chapter starts with the theory defining S-gears and their properties and compares S- and involute gears. Most of the text deals with cylindric spur gears. S-gears are defined with the half-symmetric rack profile, which then uniquely defines the path of contact and gears. Reshaping of the gear flanks for external and internal gear pairs is presented here and thermal behavior discussed and compared with the involute gears. Experimental verification of S-gears theory, especially durability and thermal behavior of importance for plastic gears is presented. So, in this chapter a material combination of interest was alloy steel and POM (which was only heat stabilized). The chapter presents some specific information about this. And finally, the planocentric gearbox focused on high-tech industry (e.g., robotics) is presented. The problem is how to achieve required properties. So, all possible analytical tools should be used to minimize backlash and many other parameters which is also presented in the paper.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Euler, L. (1760). Novi Commentarii academiae scientiarum. Petropolitanae, 5(1760), 299–316.

    Google Scholar 

  2. Hlebanja, J., & Hlebanja, G. (2010). Spur gears with a curved path of contact for small gearing dimensions. In International Conference on Gears, Garching near Munich, Germany, 4.-6.10.2010: Europe invites the world, (VDI-Berichte, ISSN 0083–5560, 2108) (pp. 1281–1294). Düsseldorf: VDI-Verlag.

    Google Scholar 

  3. Hlebanja, J., & Hlebanja, G. (2005). Anwendbarkeit der S-Verzahnung im Getriebebau: Nichtevolventische Verzahnungen weiterentwickelt. Antriebstechnik., ISSN 0722–8546, 44(2), 34–38.

    Google Scholar 

  4. Hlebanja, G. (2011). Specially shaped spur gears: A step towards use in miniature mechatronic applications. In V. Miltenović (Ed.), Proceedings, The 7th International Scientific Conference Research and Development of Mechanical Elements and Systems - IRMES 2011, 27.-28.4.2011 (pp. 475–480). Zlatibor: Mechanical Engineering Faculty.

    Google Scholar 

  5. Hlebanja, G., & Hlebanja, J. (2012). Recent development of non-involute cylindrical gears. In G. Dobre & M. R. Vladu (Eds.), Power Transmissions: Proceedings of the 4th Int. Conf., Sinaia, Romania, June 20–23, 2012, (Mechanisms and machine science, ISSN 2211–0984, ISSN 2211–0992, Vol. 13) (pp. 83–98). Dordrecht: Springer. 2013.

    Google Scholar 

  6. Hlebanja, G., & Hlebanja, J. (2013). Influence of axis distance variation on rotation transmission in S-gears: Example on heavy duty gears. In International Conference on Gears, 7–9.10.2013, Garching (near Munich), Germany: Europe invites the world, (VDI-Berichte, ISSN 0083–5560, 2199) (pp. 669–679). Düsseldorf: VDI-Verlag.

    Google Scholar 

  7. Hlebanja G, Kulovec S, Zorko D, Hlebanja J, Duhovnik J (2017). Influence of the tooth flank shape on thermal load of the gear. Europe invites the world, International Conference on Gears, International Conference on Gear Production, International Conference on High Performance Plastic Gears, Technische Universität München, Garching, Sept. 13–15, (VDI-Berichte, ISSN 0083–5560, 2294.2). Düsseldorf: VDI., p.p 1583–1592.

    Google Scholar 

  8. Radzevich, S. P. (2012). Dudley’s Handbook of Practical Gear Design and Manufacture, Second Edition. Boca Raton: CRC Press, Taylor & Francis Group. ISBN 978–1–4398-6602-3 (eBook - PDF).

    Book  Google Scholar 

  9. Nieman, G., & Winter, H. (1989). Maschinenelemente, Band II: Getriebe allgemein, Zahnradgetriebe Grundlagen, Stirnrad Getriebe. ISBN 3-540-11149-2. Berlin, Heidelberg, New York: Springer Verlag.

    Google Scholar 

  10. Sumitomo Drive Technologies (2018), Fine Cyclo® - Zero Backlash Precision Gearboxes, Catalog #991333. Accessed 01/07/2020, from www.sumitomodrive.com.

  11. Spinea TwinSpin (2017) High Precision Reduction Gears, Ed. I/2017. Accessed 01/07/2020, from https://www.spinea.com/en/products/twinspin/index.

  12. Nabtesco Precision Reduction Gear RV™ (2018). E Series/C Series/Original Series CAT.180420, Accessed 01/07/2020, from https://www.nabtesco.de/fileadmin/05_downloads/03_kataloge/produktkatalog_en.pdf

  13. Onvio Zero Backlash Speed Reducers (2005), Accessed 01/07/2020, from www.onviollc.com

  14. Hlebanja J, Hlebanja G (2009) Konkav-konvexe Sonderverzahnungen, Vorteile und Nachteile gegenüber Evolventenverzahnungen. Mihailidis A (Edt.). Proceedings, The 3rd Int. Conf. – Power Transmission '09 Kallithea, Greece, 1–2.10.2009. Thessaloniki: Sofia Publications. 2009, p. 21–26.

    Google Scholar 

  15. VDI 2736 (2016a) VDI 2736 - part 4. Thermoplastic gear wheels: Determination of strength parameters on gears. VDI–Richtlinien (2016).

    Google Scholar 

  16. VDI 2736 (2016b) VDI 2736 - part 1. Thermoplastic gear wheels: Materials, material selection, production methods, production tolerances, form design. VDI–Richtlinien (2016).

    Google Scholar 

  17. Hlebanja, G., Kulovec, S., Hlebanja, J., & Duhovnik, J. (2014). S-gears made of polymers. Ventil, 20(5), 358–367.

    Google Scholar 

  18. Hlebanja G, Hlebanja J (2018) S-gears: From Metal to Polymer Solution. Goldfarb V, Trubachev E, Barmina N (Edt.). Advanced Gear Engineering, (Mechanisms and machine science, ISSN 2211–0984, ISSN 2211–0992, Vol. 51). Cham: Springer Nature. 2020, p. 255–269, doi: https://doi.org/10.1007/978-3-319-60399-5_12.

  19. Hlebanja, G., Hriberšek, M., Erjavec, M., & Kulovec, S. (2019). Durability investigation of plastic gears. In Power transmissions 2019, 6th international BAPT conference power transmissions 2019, Varna, Bulgaria, June 19-22, 201, (MATEC web of conferences, ISSN 2261-236X, vol. 287) (Vol. 287, pp. 1–9). Paris: EDP Sciences.

    Google Scholar 

  20. Hlebanja, G., Erjavec, M., Kulovec, S., & Hlebanja, J. (2020). Optimization of planocentric gear train characteristics with CA-tools: Chapter 14. In V. Goldfarb, E. Trubachev, & N. Barmina (Eds.), New approaches to gear design and production, (Mechanisms and machine science, ISSN 2211–0984, ISSN 2211–0992, Vol. 81) (pp. 323–347, https://link.springer.com/chapter/10.1007%2F978-3-030-34945-5_14). Cham: Springer Nature. https://doi.org/10.1007/978-3-030-34945-5_14.

    Chapter  Google Scholar 

  21. AksIM 2 (2020) Absolute rotary encoder, datasheet, Accessed 15/06/2020, from https://www.rls.si/en/aksim-2-off-axis-rotary-absolute-encoder.

  22. Renishaw (2020) The accuracy of rotary encoders (Whitepaper). Accessed 30/06/2020 from https://resources.renishaw.com/en/details/white-paper-the-accuracy-of-angle-encoders-113122.

  23. KissSoft (2019a) Design software for mechanical engineering applications. Accessed 23/9/2019 from https://www.kisssoft.ag/english/home/index.php.

  24. ISO1328-1 (2013). Cylindrical gears — ISO system of flank tolerance classification — Part 1: Definitions and allowable values of deviations relevant to flanks of gear teeth, International Organization for Standardization, 2013.

    Google Scholar 

  25. KissSoft. (2019). KISSsoft release 2019 user manual. Bubikon: KISSsoft AG - A Gleason Company.

    Google Scholar 

Download references

Acknowledgments

The investment is co-financed by the Republic of Slovenia and the European Union under the European Regional Development Fund, no. SME 2/17-3/2017 and C3330-18-952014.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Gorazd Hlebanja .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Hlebanja, G., Erjavec, M., Hriberšek, M., Knez, L., Kulovec, S. (2022). Theory and Applications Based on S-Gear Geometry. In: Radzevich, S.P. (eds) Recent Advances in Gearing. Springer, Cham. https://doi.org/10.1007/978-3-030-64638-7_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-64638-7_2

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-64637-0

  • Online ISBN: 978-3-030-64638-7

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics