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Abstract

This paper addresses the problem of developing diagnostic systems for industrial equipment when initial failure data is incomplete or unavailable. An approach is proposed for generating synthetic data based on a pseudo-failure generator that implements stochastic modeling of degradation processes. A formalized algorithm for generating time-to-failure samples has been developed, including stages of failure physics analysis, statistical model selection, distribution parameterization, and simulation of operating conditions. The Weibull distribution is used as the base model, allowing for the consideration of various stages of the equipment’s life cycle. Additionally, factors that bring the synthetic data closer to real operating conditions are taken into account: measurement noise, data incompleteness, and the presence of outliers. The obtained samples were validated using the Kolmogorov–Smirnov test. A practical test was conducted using a rolling bearing as an example, for which realistic time-to-failure data were generated and the degradation process was simulated using a gamma process. The results confirm the feasibility of using synthetic data for the development, testing, and verification of diagnostic systems in the early stages of their creation.

First Page

50

Last Page

56

References

  1. Ahad Ali, Abdelhakim Abdelhadi. (2022). Condition-based monitoring and maintenance: State of the art review. Applied Sciences, 12(2), 688. https://doi.org/10.3390/app12020688
  2. Ruosen Qi, Jie Zhang, Katy Spencer (2023). A review on data-driven condition monitoring of industrial equipment. Algorithms, 16(1), 9. https://doi.org/10.3390/a16010009
  3. Mehdi Dadfarnia, Michael E. Sharp, Jeffrey W. Herrmann (2025). Comprehensive evaluations of condition monitoring-based technologies in industrial maintenance. Journal of Manufacturing Systems 82, 449-477. https://www.sciencedirect.com/science/article/pii/S0278612525001669
  4. Maryam Ahang, Todd Charter, Mostafa Abbasi, Maziyar Khadivi, Oluwaseyi Ogunfowora, Homayoun Najjaran (2024). Intelligent condition monitoring of industrial plants: An overview оf Methodologies and Uncertainty Management Strategies. https://arxiv.org/abs/2401.10266
  5. Shamim Md Mahamudur Rahaman, Ruddro Rezwanul Ashraf (2024). Smart diagnostics in industrial maintenance: A systematic review of AI-enabled predictive maintenance tools and condition monitoring techniques. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.5269918
  6. Rexonni B. Lagare, Marcial Gonzalez, Zoltan K. Nagy, Gintaras V. Reklaitis. (2024). A framework for the practical development of condition monitoring systems with application to the roller compactor. Frontiers in Energy Research, 12. https://doi.org/10.3389/fenrg.2024.1351665
  7. Muhammad Yousuf, Turki Alsuwian, Arslan Ahmed Amin, Sanwal Fareed, Muhammad Hamza (2024). IoT-based health monitoring and fault detection of industrial AC induction motor for efficient predictive maintenance. Measurement and Control. https://doi.org/10.1177/00202940241231473
  8. GOST R 50779.27-2017 Statisticheskie metody. Raspredelenie Veibulla. Analiz dannykh [Statistical methods. Weibull distribution. Data analysis]. Moscow: Standartinform. (In Russ.)
  9. Abernethy, R. (2006). The New Weibull Handbook (5th ed.). North Palm Beach: Dr. Robert B. Abernethy.
  10. Yolanda M. Gómez, Diego I. Gallardo, Carolina Marchant, Luis Sánchez, Marcelo Bourguignon (2024). An in-depth review of the Weibull model with a focus on various parameterizations. Mathematics, 12(1). https://doi.org/10.3390/math12010056
  11. Dr. P. K. Suri, Parul Raheja (2018). A study on Weibull distribution for estimating the reliability. International Journal of Engineering and Computer Science, 4(7). https://www.ijecs.in/index.php/ijecs/article/view/3841
  12. Ziang Li, Huimin Fu, Jianchao Guo. Reliability assessment of a series system with Weibull-distributed components based on zero-failure data. (2025). Applied Sciences, 15(5). https://www.mdpi.com/2076-3417/15/5/2869
  13. GOST 8338–2022 Podshipniki kacheniya. Podshipniki sharikovye radial'nye odnoryadnye. Klassifikatsiya, ukazaniya po primeneniyu i ekspluatatsii [Rolling bearings. Single row radial ball bearings. Classification, application and operation guidelines]. Moscow: Standartinform. (In Russ.)
  14. GOST 8338–75 Podshipniki sharikovye radial'nye odnoryadnye. Osnovnye razmery [Single row radial ball bearings. Basic dimensions]. Moscow: Standartinform. (In Russ.)
  15. GOST 18854–2024 (ISO 76:2006) Podshipniki kacheniya. Staticheskaya gruzopod"emnost' [Rolling bearings. Static load ratings]. Moscow: Standartinform. (In Russ.)
  16. GOST 18855–2013 (ISO 281:2007) Podshipniki kacheniya. Dinamicheskaya gruzopod"emnost' i nominal'nyy resurs [Rolling bearings. Dynamic load ratings and rating life]. Moscow: Standartinform. (In Russ.)
  17. Van Noortwijk, J. M. (2009). A survey of the application of gamma processes in maintenance. Reliability Engineering & System Safety, 94(1), 2-21.
  18. GOST R ISO 20816-3–2023 Vibratsiya. Izmerenie vibratsii i otsenka vibratsionnogo sostoyaniya mashin. Chast' 3 [Vibration. Measurement and evaluation of machine vibration. Part 3]. Moscow: Standartinform. (In Russ.)

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