# Failure Model for Gear Couplings Under the Criterion of Working Surface Endurance

• M. G. Slobodianskii
• Alexey V. Antsupov
• S. V. Lukinskih
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)

## Abstract

Although it is shown that in some cases the gear couplings durability is significantly less than the turnaround time of a metallurgical unit according to the criterion of teeth contact endurance. As a rule, this leads to unplanned downtime of metallurgical machines and to additional time and financial costs. In order to solve this problem, there is a need for a preliminary assessment of the couplings life before putting them into commercial operation. For this purpose, the article proposes a mathematical model of gear couplings failures according to the fatigue strength criterion. The model is based on the mathematical formalization of the basic concepts of the reliability theory for machine parts, the basic equation for the kinetic concept of structural damage of materials, and the thermodynamic strength condition of solids. In order to implement the created model, the algorithm and the program “The durability” have been developed, which allows evaluating their average design resource under the specified operating conditions. Using the calculation program, theoretical durability studies of the plate feeder coupling were carried out under the operating conditions of the sintering plant. The resource was estimated for two options for calculating contact stresses: using classical methods of the elasticity theory and considering the finite element method of computer-aided design systems. In the first variant, the prediction error was 24%, in the second—9.7%. This indicates a sufficiently high level of the mathematical model reliability and the correct use of the calculation algorithm at the design stage of machines.

## Keywords

Toothed clutch Drive Prediction Longevity Resources Model

## References

1. 1.
GOST 21354-87 Gear couplings. Technical conditions. Standards publishing houseGoogle Scholar
2. 2.
Kuzmin A, Chernin I, Kozintsov B (1986) Calculations of machine parts. Higher School, MoscowGoogle Scholar
3. 3.
Ivanov M, Finogenov V (2008) Machine parts. Higher School, MoscowGoogle Scholar
4. 4.
Airapetov E, Aparkhov V, Nakhatakyan F et al (1991) The method for calculating the strength of gear couplings. USSR State Standard. VNIIINMASH, MoscowGoogle Scholar
5. 5.
Pronikov A (2002) Parametric reliability of machines. Publishing House of Bauman Moscow State Technical University, MoscowGoogle Scholar
6. 6.
Antsupov AV, Antsupov AV, Antsupov VP (2017) Analytical method for project resource estimation of metallurgical machinery parts. Izvestiya Vysshikh Uchebnykh Zavedenij. Chernaya Metallurgiya, pp 62–66.
7. 7.
Antsupov V, Antsupov A, Antsupov A, Jr, Slobodiansky M (2012) Prediction of the reliability of parts and assemblies of metallurgical equipment during their design and operation. Magnitogorsk publishing house. Nosov state tech. un., MagnitogorskGoogle Scholar
8. 8.
Antsupov A Jr, Slobodiansky M, Antsupov V et al (2018) Assessment of the life of parts and components of metallurgical machines at the stage of their design and operation. Publishing House. Nosov Magnitogorsk state tech. un. MagnitogorskGoogle Scholar
9. 9.
Regel V, Slutsker A, Tomashevsky E (1974) The kinetic nature of the strength of solids. The publishing house “Science”, MoscowGoogle Scholar
10. 10.
Fedorov V (1985) Kinetics of damaging and breakdown of solid bodies. Publishing center “Fan” UzSSR, TashkentGoogle Scholar
11. 11.
Antsupov A Jr, Antsupov A, Antsupov V (2015) Theory and Practice of Assurance of Machine Element Reliability according to Criteria of Material Kinetic Strength and Wear Resistance. Nosov Magnitogorsk State Technical University Publ., MagnitogorskGoogle Scholar
12. 12.
Zhurkov S (1957) The problem of the strength of solids. Bull Acad Sci 11:78–82Google Scholar
13. 13.
Zhurkov S, Nurzullaev B (1953) The time dependence of the strength under different loading conditions. ZhTF 10:1677–1689Google Scholar
14. 14.
Antsupov A, Antsupov V, Antsupov A (2016) Estimation and assurance of machine component design lifetime. Proc Eng 150:726–733.
15. 15.
Fedorov V (2014) Fundamentals of ergodynamics and synergetics of deformable bodies. Publishing house FGBOU VPO “KSTU”, KaliningradGoogle Scholar
16. 16.
Fedorov V (1979) Thermodynamic aspects of strength and fracture of solids. Publishing House “Fan” UzSSR, TashkentGoogle Scholar
17. 17.
Fedorov S (2003) The basics of triboergodynamics and the physic chemical background of the compatibility theory. KSTU, KaliningradGoogle Scholar
18. 18.
Belyaev N (1976) Resistance of materials. “Science”, MoscowGoogle Scholar
19. 19.
Tselikov A, Polukhin P, Grebenik V et al (1988) Machines and units of metallurgical plants. Metallurgy, MoscowGoogle Scholar
20. 20.
Garber E (2004) Cold rolling mills: (theory, equipment, technology). OAO Chermetinformatsiya, CherepovetsGoogle Scholar

© Springer Nature Switzerland AG 2020

## Authors and Affiliations

• M. G. Slobodianskii
• 1
Email author
• Alexey V. Antsupov
• 1
• S. V. Lukinskih
• 2
1. 1.Nosov Magnitogorsk State Technical UniversityMagnitogorskRussia
2. 2.Ural Federal University Named After the First President of Russia B.N. YeltsinEkaterinburgRussia