Proceedings of International Conference on Applied Innovation in IT
2025/12/22, Volume 13, Issue 5, pp.757-764
Analysis of the Application of Continuous Distribution Laws in the Reliability Theory of Technical Systems: a Review Article
Aver Auhadeev, Olimjon Toirov, Ruslan Litvinenko, Pavel Pavlov, Azat Khusnutdinov, Khalil Vakhitov and Elvira Khusnutdinovа Abstract: In order to enhance the accuracy of reliability assessments for highly reliable and low-volume technical systems, it is essential to utilise diverse prior information obtained through reliability calculations, simulations, testing, and operational data from structurally similar systems (analogues). From a systems approach perspective, any reliability study of technical systems should be planned and conducted considering results from previous research, i.e., incorporating prior information. Given the stochastic nature of reliability, which is an inherent property of technical systems, various discrete and continuous distributions can be employed as theoretical distributions for reliability metrics. This article analyses the practical application of key continuous probability distributions in the reliability theory of technical systems. The article presents dependencies for estimating primary reliability metrics and highlights their specific applications under different conditions. The analysis is based on a systematisation of information published in scientific and technical literature, including results from model-based and experimental reliability studies, as well as operational statistical data. The provided analytical research was carried out under a project on the prototype development of a retractable rotor system for a convertiplane. It involved making design changes to the completed technical system, which required a comprehensive assessment of reliability parameter changes at initial development stages. The results obtained allow for improving the efficiency of building models and criteria for ensuring and controlling the reliability of a convertiplane, while simultaneously increasing the accuracy of reliability estimates.
Keywords: Reliability, Distribution, Failure, Operating Time, Density, Mathematical Expectation, Variance.
DOI: Under indexing
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References:
- GOST R 27.004–2009, Reliability in engineering—Failure models. Moscow, Russia: Standartinform, 2009. [Online]. Available: https://docs.cntd.ru/document/1200078694.
- V. M. Trukhanov, Reliability of technical systems of mobile units at the design and testing stages. Moscow, Russia: Mashinostroenie, 2003, 320 p. [Online]. Available: https://djvu.online/file/L0AOP2DV73NMW.
- A. M. Polovko and S. V. Gurov, Fundamentals of reliability theory, 2nd ed. St. Petersburg, Russia: BHV-Petersburg, 2006, 702 p.
- E. A. Lisunov, Workshop on the reliability of technical systems, 2nd ed. St. Petersburg, Russia: Lan, 2022, 240 p.
- A. Domnikov et al., “Methodological approach to the research of energy cogeneration systems operational reliability indicators,” Int. J. Energy Production and Management, vol. 6, no. 3, pp. 263–276, 2021, doi: 10.2495/EQ-V6-N3-263-276.
- I. Chukreyev and M. Chukreyev, “Taking into account balance reliability in planning of power system development,” E3S Web Conf., vol. 584, Art. no. 01001, 2024, doi: 10.1051/e3sconf/202458401001.
- O. Z. Toirov and S. S. Khalikov, “Research and evaluation of the reliability indicators of pumping units for mechanical irrigation of the pumping station ‘Kyzyl-Tepa’,” Power Technology and Engineering, vol. 57, no. 5, pp. 690–696, 2024, doi: 10.1007/s10749-024-01720-2.
- B. V. Gnedenko, Yu. K. Belyaev, and A. D. Soloviev, Mathematical methods in reliability theory, 2nd ed. Moscow, Russia: LIBROKOM, 2012, 582 p.
- L. S. Sabitov et al., “Reliability study for traction electrical equipment of urban electric transport,” IOP Conf. Ser.: Mater. Sci. Eng., vol. 915, no. 1, Art. no. 012048, 2020.
- V. V. Klyuev, V. V. Bolotin, and F. R. Sosnin et al., Mechanical engineering: Encyclopedia, vol. IV-3. Moscow, Russia: Mashinostroenie, 2003.
- N. F. Kashapov et al., “The approach to the study of the reliability of the electric transport system of the city as a complex technical system,” IOP Conf. Ser.: Mater. Sci. Eng., vol. 570, no. 1, Art. no. 012043, 2019.
- P. Pavlov et al., “Technique for optimization of diagnostic parameters composition for power systems objects,” IOP Conf. Ser.: Mater. Sci. Eng., vol. 643, no. 1, Art. no. 012013, 2019.
- O. Filina et al., “Investigation the conditions of existence and disturbances of brush-collector contact,” E3S Web Conf., vol. 563, Art. no. 01009, 2024, doi: 10.1051/e3sconf/202456301009.
- S. A. Ayvazyan and V. S. Mkhitaryan, Applied statistics. Fundamentals of econometrics, 2nd ed. Moscow, Russia: UNITY, 2001, 432 p.
- I. Khujaev et al., “Modeling of vertical axis wind turbine using Ansys Fluent package program,” E3S Web Conf., vol. 401, Art. no. 04040, 2023, doi: 10.1051/e3sconf/202340104040.
- O. Toirov et al., “Method of calculation of the magnetic induction of the stator winding of a synchronous motor,” E3S Web Conf., vol. 401, Art. no. 04033, 2023, doi: 10.1051/e3sconf/202340104033.
- V. A. Kashtanov and A. I. Medvedev, Reliability theory of complex systems, 2nd ed. Moscow, Russia: Fizmatlit, 2010, 608 p.
- V. M. Trukhanov, A new approach to ensuring the reliability of complex systems. Moscow, Russia: Spektr, 2010, 246 p.
- N. F. Kashapov et al., “Consideration of the influence of the reliability of elements of the urban electric transport system on its bandwidth,” IOP Conf. Ser.: Mater. Sci. Eng., vol. 570, no. 1, Art. no. 012042, 2019.
- N. F. Kashapov et al., “New methodological approach to the development of the theory of electric traction of urban electric transport,” IOP Conf. Ser.: Mater. Sci. Eng., vol. 570, no. 1, Art. no. 012041, 2019, doi: 10.1088/1757-899X/570/1/012041.
- A. V. Antonov and M. S. Nikulin, Statistical models in reliability theory. Moscow, Russia: Abris, 2012, 389 p.
- K. N. Voinov, Reliability forecasting for mechanical systems. Leningrad, USSR: Mashinostroenie, 1978, 208 p.
- I. B. Shubinsky, Reliable fault-tolerant information systems: Synthesis methods. Moscow, Russia: Nadezhnost Publishing, 2016, 544 p.
- S. Sagirov, A. Solovyov, and E. Akhmedova, “Modeling of the flight control system of a hybrid unmanned aerial vehicle in take-off and landing modes,” in Proc. Int. Russian Automation Conf. (RusAutoCon), Sochi, Russia, 2025, pp. 443–448, doi: 10.1109/RusAutoCon65989.2025.11177452.
- A. Mishchuk, A. V. Soloviev, and A. V. Dmitriev, “Determination of the characteristics of the wing of an unmanned aerial vehicle for conducting inspections at energy facilities,” in Proc. Int. Youth Conf. Radio Electronics, Electrical and Power Engineering (REEPE), Moscow, Russia, 2025, pp. 1–5, doi: 10.1109/REEPE63962.2025.10971031.
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