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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
Uncertainty, https://en.wikipedia.org/wiki/Uncertainty. Accessed 28 Oct 2020
Lindley, D.V.: Understanding Uncertainty. Wiley, Inc (2006)
Understanding Uncertainty, https://www.researchgate.net/publication/298599367. Accessed 28 Oct 2020
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)
UNCECOMP 2019 Homepage, https://2019.uncecomp.org. Accessed Accessed 28 Oct 2020
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)
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)
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)
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)
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)
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)
Keuthen, M.: REXS—Standardized gear unit model. In: International Conference on Gears, pp. 701–712. VDI Verlag GmbH, Garching/Munich (2019)
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)
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)
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)
Algin, V., Paddubka, S.: Lifetime Mechanics of Vehicle Transmissions. Belaruskaya Navuka, Minsk (2019). (in Russian)
Grenander, U.: Regular Structures: Lectures in Pattern Theory. Volume III. Springer, New York, Heidelberg, Berlin (1981)
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)
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)
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)
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)
Algin, V., Kim, H.-E.: Reliability and lifetime of mechanical units in operation and test. Key Eng. Mater. 326–328, 549–552 (2006)
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)
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)
Algin, V.B.: Calculation of Mobile Technics: Kinematics, Dynamics. Lifetime, Belaruskaya Navuka, Minsk (2014). (in Russian)
Algin, V.B.: Dynamics. Reliability and Lifetime Design of Transmissions of Mobile Machines, Navuka i Tekhnika, Minsk (1995). (in Russian)
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)
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)
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)
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)
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)
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)
State standard of the Republic of Belarus STB 2578–2020. Dependability in technics. Estimation of lifetime expense for technically complicated items. Gosstandart, Minsk (2020)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2021 The Author(s), under exclusive license to Springer Nature Switzerland AG
About this chapter
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)