The Choice of Sampling Frequency and Optimal Method of Signals Digital Processing in Problems of a Random Loading Process Treating to Assess Durability

Abstract

Theoretical and practical issues of digital information processing in the problems of load assessment in the evaluation of durability are considered. Due to the specifics of the problem under consideration, in which the precise definition of the extremum values and their sequence is of paramount importance, a number of generally accepted recommendations are unacceptable. For example, the Kotelnikov theorem, which was originally proposed in relation to the problems of estimating the frequency composition of the process, can lead to significant errors. It is shown that the requirements for the analysis of random loading processes for the further purpose of assessing the durability, due to their specificity, are in contradiction with this indication, namely, when choosing a frequency according to this rule, it is very likely to make an error, and not into the safe side. It was also considered the digital filtering of hardware data. Alternative approaches to the selection of extrema of the random process are analyzed: (1) direct hardware selection of extrema and (2) discretization by the method of level crossings. The latter approach has an optimal algorithm for selecting extrema allowing selecting the extremes of the random process with less cost and greater accuracy. The natural transition to integer arithmetic allows to optimize this algorithm even more. The model and real examples demonstrate the gain in terms of speed and memory, which ultimately will help to increase the reliability of the information necessary to assess the durability. The savings in memory and performance will allow longer implementations to be processed, which ultimately allows for a more accurate estimate of the durability at the production stage and for the estimation of the residual life.

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REFERENCES

  1. 1

    Makhutov, N.A. and Gadenin, M.M., Development of fundamental and applied researches in the field of machine sciences using strength, safe life, survivability and safety criteria, Zavod. Lab., Diagn. Mater., 2018, vol. 84, no. 10, pp. 41–52.

    Google Scholar 

  2. 2

    Svirskiy, Yu.A. and Sterlin, A.Ya., Method of compact stress recording in endurance tests, Zavod. Lab., Diagn. Mater., 2016, vol. 82, no. 4, pp. 64–64.

    Google Scholar 

  3. 3

    Georgievskaia, E., Justification of the hydraulic turbines lifetime from the standpoint of the fracture mechanics, Procedia Struct. Integr., 2018, vol. 13, pp. 971–975. https://doi.org/10.1016/j.prostr.2018.12.181

    Article  Google Scholar 

  4. 4

    Adler, Yu.P., Gadolina, I.V., and Lyandres, M.N., Bootstrap-modeling for confidence-interval building for censored sets, Zavod. Lab., 1987, vol. 53, no. 10, pp. 90–94.

    Google Scholar 

  5. 5

    Gadolina, I.V., Gryzlova, T.P., Dubin, D.A., Petrova, I.M., and Filimonova, N.I., Research of loading of transport vehicles in the time and frequency domain, Trudy 4-i Mezhdunarodnoi nauchno-tekhnicheskoi konferentsii posvyashchennoi 80-letiyu IMASh RAN “Zhivuchest’ i konstruktsionnoe materialovedenie ZhivKoM” (Proc. 4th Int. Sci.-Tech. Conf. Dedicated to the 80th Anniversary of the Institute of Machine Science, Russian Academy of Sciences “Survivability and Structural Material Science, ZhivKoM”), Moscow: Inst. Mashinoved., Ross. Akad. Nauk, 2018, pp. 84–86.

  6. 6

    GOST (State Standard) 25.101-83: Strength Calculation and Testing, Representation of Random Loading of Machine Elements and Structures and Statistical Evaluation of Results, Moscow: Izd. Standartov, 1984.

  7. 7

    Dirlik, T., Application of computers in fatigue analysis, PhD Thesis, Warwick: Univ. of Warwick, 1985.

  8. 8

    Sheiko, V.V., Primak, A.V., and Aleksandrov, V.Yu., USSR Inventor’s Certificate no. 1322161, Byull. Izobret., 1987, no. 25.

  9. 9

    Nikol’skii, L.N., Kochubenko, V.P., and Ignatenko, Yu.V., Application of classifying devices such as KLA-2 to study the loading of the frames of carts, in Voprosy issledovaniya nagruzhennosti ram vagonnykh telezhek (Study of the Loading of Wagon Trolley Frames), Bryansk: Priokskoe Knizhn. Izd., 1974, pp. 5–11.

  10. 10

    Gadolina, I. and Zaynetdinov, R., The estimation of the sufficient random loading realization length in the problem of machine parts longevity, Proc. IEEE 9th Int. Conf. on Dependable Systems, Services and Technologies, DESSERT, Piscataway, NJ: Inst. Electr. Electron. Eng., 2018, pp. 159–162. https://doi.org/10.1109/DESSERT.2018.8409119

  11. 11

    Kotel’nikov, V.A., Teoriya potentsial’noi pomekhoustoichivosti (Theory of Potential Noise Immunity), Moscow: Gosenergoizdat, 1956.

  12. 12

    Lee, Y.-L., et al., Fatigue Testing and Analysis: Theory and Practice, Amsterdam: Elsevier, 2005.

    Google Scholar 

  13. 13

    Bendat, J.S. and Piersol, A.G., Random Data: Analysis and Measurement Procedures, Chichester: Wiley, 1971.

    Google Scholar 

  14. 14

    Gadolina, I.V., Petrova, I.M., Shashkova, E.V., and Benevolenskaya, E.M., Load analysis and compilation of a generalized load spectrum to assess the durability of the trolley side frame, Trudy konferentsii “Zhivuchest’ i konstruktsionnoe materialovedenie” (Proc. Conf. “Survivability and Constructional Material Science”), Moscow, 2012, vol. 1, pp. 67–72.

  15. 15

    Fischer, R. and Haibach, E., Simulation von beanspruchungs-zeit-funktionen in versuchen zur beurteilung von werkstoffen, in Verhalten von Stahl bei Schwingender Beanspruchung, Düsseldorf: Stahleisen, 1979, pp. 223–242.

    Google Scholar 

  16. 16

    Gadolina, I.V., Estimation of the error of discretization of the loading process and its influence on the design resource, Trudy IX nauchnoi konferentsii molodykh uchenykh IMASh RAN (Proc. IX Sci. Conf. of Young Scientists of the Mechanical Engineering Research Institute, Russian Academy of Sciences), Moscow: Inst. Mashinoved., Ross. Akad. Nauk, 1982, pp. 150–154.

  17. 17

    Gitis, E.I., Preobrazovanie informatsii dlya elektronnykh tsifrovykh ustroistv (Conversion of Information for Electronic Digital Devices), Moscow: Energiya, 1975.

  18. 18

    Kogaev, V.P., Raschety na prochnost’ pri napryazheniyakh, peremennykh vo vremeni (Strength Calculations in Variable Stresses), Moscow: Mashinostroenie, 1993.

  19. 19

    R Core Team, R: A Language and Environment for Statistical Computing, Vienna: R Found. Stat. Comput., 2017. https://www.R-project.org.

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ACKNOWLEDGMENTS

The authors want to express gratitude to the project partner of the Irkut Corporation.

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Correspondence to I. V. Gadolina or N. G. Lisachenko or Y. A. Svirskiy or D. A. Dubin.

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FUNDING

The study was funded by the Ministry of Education and Science of the Russian Federation under agreement no. RFMEF162518X0044.

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The authors declare that they have no conflicts of interest.

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Gadolina, I.V., Lisachenko, N.G., Svirskiy, Y.A. et al. The Choice of Sampling Frequency and Optimal Method of Signals Digital Processing in Problems of a Random Loading Process Treating to Assess Durability. Inorg Mater 56, 1551–1558 (2020). https://doi.org/10.1134/S0020168520150054

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Keywords:

  • Random process of loading
  • sampling frequency
  • integer arithmetic
  • quantization of the crossing levels
  • extrema
  • rain-flow method
  • the fatigue of materials
  • durability