Skip to main content

Uncertainties in Modeling the Lifetime-and-Functional Properties of Gear Trains and Transmissions and Ways to Reduce Them

  • Chapter
  • First Online:
Gears in Design, Production and Education

Part of the book series: Mechanisms and Machine Science ((Mechan. Machine Science,volume 101))

  • 746 Accesses

Abstract

Typical cases of problem situations associated with uncertainties in modeling properties of gears and transmissions of cars, tractors and other similar technically complicated items are considered. Such items work in a changing environment, consist of many heterogeneous non-standard components and are controlled by the operator. Typical uncertainties include: isomorphism, incorrect schematization, lack of detailed data about the item, variation of the environment, the presence of a variety of calculation (modeling) methods, etc. Ways of resolving problem situations associated with uncertainties are developed. Reducing the uncertainty in modeling the individual lifetime of an item can be achieved through digitalization (diagnostic data, recognition of item state). When uncertainty is unavoidable, it is recommended to create a decision-making space that is convenient for stakeholders to analyze and assess the degree of risk resulting from their decisions. It is shown that situations in decision-making can be significantly enhance by introducing an indicator that successfully describes a set of basic properties of an item. The main provisions of the article are accompanied with examples from the authors’ own practice. The considered approaches are methodologically typical for many complex mechanical and combined items based on mechanical systems.

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 189.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 249.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 249.99
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

Similar content being viewed by others

References

  1. Uncertainty, https://en.wikipedia.org/wiki/Uncertainty. Accessed 28 Oct 2020

  2. Lindley, D.V.: Understanding Uncertainty. Wiley, Inc (2006)

    Google Scholar 

  3. Understanding Uncertainty, https://www.researchgate.net/publication/298599367. Accessed 28 Oct 2020

  4. McManus, H., Hastings, D.: Current and developing methods for dealing with uncertainties are projected onto the framework to understand their relative roles and interactions. In: Fifteenth Annual International Symposium of the International Council On Systems Engineering (INCOSE), pp. 1–20. Rochester, NY (2005)

    Google Scholar 

  5. UNCECOMP 2019 Homepage, https://2019.uncecomp.org. Accessed Accessed 28 Oct 2020

  6. Bhattacharyya, B., Jacquelin, E., Brizard, D.: Uncertainty quantification of nonlinear stochastic dynamic problem using a Kriging-NARX surrogate model. In: Papadrakakis, M., Papadopoulos, V., Stefanou, G. (eds.) UNCECOMP 2019: Uncertainty Quantification in Computational Sciences and Engineering, pp. 34–46. Greece (2019)

    Google Scholar 

  7. Gray, N., De Angelis, M. and Ferson, S.: Computing with uncertainty: introducing puffin the automatic uncertainty compiler. In: Papadrakakis, M., Papadopoulos, V., Stefanou, G. (eds.) UNCECOMP 2019: Uncertainty Quantification in Computational Sciences and Engineering, pp. 487–497. Greece (2019)

    Google Scholar 

  8. Wehbi, N.A., Slika W.G.: A health monitoring framework for optimal service life predictions of steel structures under fatigue loading. In: Papadrakakis, M., Papadopoulos, V., Stefanou, G. (eds.) UNCECOMP 2019: Uncertainty Quantification in Computational Sciences and Engineering, pp. 653–662. Greece (2019)

    Google Scholar 

  9. Karve, P.M., Guo, Y., Kapusuzoglu, B., Mahadevan, S., Haile, M.A.: Digital twin approach for damage-tolerant mission planning under uncertainty. Eng. Fract. Mech. 225, 1–28 (2020)

    Article  Google Scholar 

  10. Meis, J.-A., Teklote, F., Borowski, M.: Simulation of the tooth root strength under consideration of material quality, finishing process and size effects. In: International Conference on Gears, pp. 161–171. VDI Verlag GmbH, Garching/Munich (2019)

    Google Scholar 

  11. Schlecht, B., Schulze, T.: Improved tooth contact analysis by using virtual gear twins—how helpful is AI for finding best gear design? In: International Conference on Gears, pp. 203–215. VDI Verlag GmbH, Garching/Munich (2019)

    Google Scholar 

  12. Keuthen, M.: REXS—Standardized gear unit model. In: International Conference on Gears, pp. 701–712. VDI Verlag GmbH, Garching/Munich (2019)

    Google Scholar 

  13. Yin, P.L., Wang, J.H., Lu, C.X.: Digital twin of gear measuring center (DTGMC). In: International Conference on Gears, pp. 1521–1531. VDI Verlag GmbH, Garching/Munich (2019)

    Google Scholar 

  14. Kissling, U., Stolz, U., Türich, A.: Combining gear design with manufacturing process decisions. In: International Conference on Gears, pp. 1532–1544. VDI Verlag GmbH, Garching/Munich (2019)

    Google Scholar 

  15. Algin, V.: Algorithm for obtaining structures of planetary gearboxes. Development and application of computer techniques and tools for automated information processing, pp. 63–64. Minsk (1974) (in Russian)

    Google Scholar 

  16. Algin, V., Paddubka, S.: Lifetime Mechanics of Vehicle Transmissions. Belaruskaya Navuka, Minsk (2019). (in Russian)

    Google Scholar 

  17. Grenander, U.: Regular Structures: Lectures in Pattern Theory. Volume III. Springer, New York, Heidelberg, Berlin (1981)

    Google Scholar 

  18. Algin, V.: From Newton’s mechanics to dynamics of regular mechanical systems with variable states and power flows. In: 14th IFToMM World Congress, pp. 130–139. Taipei (2015)

    Google Scholar 

  19. Algin, V., Ivanov, V.: Kinematic and dynamic computation of vehicle transmission based on regular constructs. In: Merlet, J.-P., Dahan, M. (eds.) 12th IFToMM World Congress Proceedings, paper A14, 6 p. Besançon (2007)

    Google Scholar 

  20. Algin, V., Ivanov, V.: Application of regular rotational and translational constructs to vehicle dynamics problems. In: Brennan, M.J. (ed.) 7th European Conference on Structural Dynamics Proceedings, paper E16, 12 p. University of Southampton, Southampton (2008)

    Google Scholar 

  21. Paddubka, S., Algin, V., Starzhinsky, V., Shil’ko, S.: Development of mechanism and machine science in belarus by an example of gears and gear transmissions. In: IOP Conference Series: Materials Science and Engineering 393 012043, pp. 1–9 (2018)

    Google Scholar 

  22. Algin, V., Kim, H.-E.: Reliability and lifetime of mechanical units in operation and test. Key Eng. Mater. 326–328, 549–552 (2006)

    Article  Google Scholar 

  23. Algin, V.: Approaches and techniques for calculating real reliability of machine as a system of different dependent components and complicated logic of limiting states. In: 13th World Congress in Mechanism and Machine Science, 6 p. Mexico (2011)

    Google Scholar 

  24. Algin, V.: calculated modes for assessing operation properties and dependability of vehicles. In: Uhl T. (ed.) Advances in Mechanism and Machine Science. 15th IFToMM World Congress on Mechanism and Machine Science Proceedings, pp. 3749–3758. Springer (2019)

    Google Scholar 

  25. Algin, V.B.: Calculation of Mobile Technics: Kinematics, Dynamics. Lifetime, Belaruskaya Navuka, Minsk (2014). (in Russian)

    Google Scholar 

  26. Algin, V.B.: Dynamics. Reliability and Lifetime Design of Transmissions of Mobile Machines, Navuka i Tekhnika, Minsk (1995). (in Russian)

    Google Scholar 

  27. Algin, V., Ishin, M., Paddubka, S.: Models and approaches in design and diagnostics of vehicles planetary transmissions. IOP Conference Series: Materials Science and Engineering 393 012042, pp. 1–10 (2018)

    Google Scholar 

  28. Algin, V., Ishin, M., Paddubka, S., Starzhinsky, V., Shil’ko, S., Rackov, M., and Čavić, M.: Development of information model of power transmissions in the light of industry 4.0. Int. Sci. J.“Mathem. Modelin.” 4(2), 54–63 (2020)

    Google Scholar 

  29. Algin, V. Calculated modes for assessing operation properties and dependability of vehicles. In: Uhl, T. (ed.) Advances in Mechanism and Machine Science. IFToMM WC 2019. Mechanisms and Machine Science, vol. 73, pp. 3749–3758. Springer, Cham (2019)

    Google Scholar 

  30. Algin, V.: Justification of calculated cases for the assessment of the basic properties of land vehicles. In.: Beer, M. and Zio, E. (eds.) 29th European Safety and Reliability Conference (ESREL) Proceedings, pp. 3510–3517. Hannover (2019)

    Google Scholar 

  31. Belabenko, D., Algin, V.: Classification and visual representation of results of estimation of transmission loading at gearshift process. In.: Topical Issues of Mechanical Engineering 8, pp. 60–63. JIME NASB, Minsk (2019)

    Google Scholar 

  32. Algin, V., Ishin, N., Starzhinsky, V., Shil’ko, S., Rackov, Čavić, M.: Development of digital twins for gears and transmissions based on lifetime mechanics and composites mechanics. In.: Topical Issues of Mechanical Engineering 8, pp. 172–184. JIME NASB, Minsk (2019)

    Google Scholar 

  33. State standard of the Republic of Belarus STB 2578–2020. Dependability in technics. Estimation of lifetime expense for technically complicated items. Gosstandart, Minsk (2020)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Algin, V.B., Kananovich, M.A., Paddubka, S.M., Sarachan, U.M., Shil’ko, S.V., Starzhinsky, V.E. (2021). Uncertainties in Modeling the Lifetime-and-Functional Properties of Gear Trains and Transmissions and Ways to Reduce Them. In: Barmina, N., Trubachev, E. (eds) Gears in Design, Production and Education. Mechanisms and Machine Science, vol 101. Springer, Cham. https://doi.org/10.1007/978-3-030-73022-2_14

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-73022-2_14

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-73021-5

  • Online ISBN: 978-3-030-73022-2

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics