Estimation of the probability of failure during operation of a prefabricated cutting tool with replaceable polyhedral plates by nonparametric statistics methods
https://doi.org/10.25206/1813-8225-2023-186-35-43
Abstract
The article discusses the issues of durability of a prefabricated cutting tool in the process of metal cutting, as well as the risk of loss of its operability. In the course of assessing the probability of tool failure in violation of the established wear criterion, the results of a production experiment are used when roughing the Shaft part made of a rod with a diameter of ø 58 mm made of HN77TYUR alloy. The processing of the part is carried out with a prefabricated cutting tool with replaceable polyhedral plates of round and square shape, having a special type of alloys: VK6m, VK8 and T15K6. To evaluate the results obtained and describe their distribution, the authors use the Shapiro–Wilk agreement criterion to check the correlation between the initial data and the corresponding assumption of their normal distribution. Since the obtained production test data do not obey the normal distribution law, the nonparametric Parsen–Rosenblatt method is used for further analysis.
About the Authors
K. V. SyzrantsevaRussian Federation
SYZRANTSEVA Kseniya Vladimirovna, Doctor of Technical Sciences, Associate Professor, Professor of Cyber Systems Department
Tyumen
N. A. Vasilega
Russian Federation
VASILEGA Natalya Aleksandrovna, Assistant of Machines and Tools Department
Tyumen
References
1. Artamonov E. V., Vasilega D. S., Trifonov V. B. Vybor instrumental′nogo tverdogo splava po obrabatyvayemomu materialu na osnove fiziko-mekhanicheskikh kharakteristik [Selection of tool hardness according to the material to be machined, based on physical and mechanical properties]. Tyumen, 2010. 127 p. (In Russ.).
2. Zorin V. A., Pegachkov A. A. Otsenka nadezhnosti i riskov izdeliy mashinostroyeniya po rezul′tatam diagnostirovaniya [Assessment of reliability and risks of products of mechanical engineering by results of diagnosing] // Problemy mashinostroyeniya i avtomatizatsii. Engineering and Automation Issues. 2020. No. 2. P. 37–43. (In Russ.).
3. Liang X., Liu. Z., Wang B.Multi-pattern failure modes and wear mechanisms of WC-Co tools in dry turning Ti-6Al-4V // CERAMICS International. 2020. Vol. 15, no. 46. P. 24512–24525. DOI:10.1016/j.ceramint.2020.06.238. (In Engl.).
4. Inta M., Muntean A. Researches regarding introducing temperature as a factor in cutting tool wear monitoring // 22nd International Conference on Innovative Manufacturing Engineering and Energy (IManE&E). 2018. Vol. 178 (7-8). 01013. DOI: 10.1051/matecconf/201817801013. (In Engl.).
5. Artamonov E. V., Vasilega N. A. Metodika otsenki riskov i vozmozhnostey pri ekspluatatsii sbornykh rezhushchikh instrumentov [Methodology for assessing risks and opportunities in the operation of prefabricated cutting tools] // Innovatsii v mashinostroyenii (InMash-2021). Innovation in Mechanical Engineering (InMash-2021) / Ed. by S. I. Vasilevskoy, Yu. S. Kudryavtsevoy. Novosibirsk, 2021. P. 137–142. (In Engl.).
6. Artamonov E. V., Vasilega D. S. Analiz vozmozhnosti primeneniya zavisimostey fiziko-mekhanicheskikh kharakteristik materialov ot temperatury dlya opredeleniya temperatury maksimal′noy obrabatyvayemosti materiala [Analysis of the possibility of applying temperature dependences of the physical-mechanical characteristics of materials to determine the temperature of maximum machinability of the material] // Omskiy nauchnyy vestnik. Omsk Scientific Bulletin. 2008. No. 4 (73). P. 56–58. (In Russ.).
7. Vasilega N. A. Faktory, vliyayushchiye na rabotosposobnost′ metallorezhushchikh instrumentov [Factors affecting the performance of metal–cutting tools] // Nauchnyy potentsial molodezhnykh issledovaniy. Scientific Potential of Youth Research. Petrozavodsk, 2021. P. 19–23. (In Russ.).
8. GOST R 59472–2021 (ISO 5608:2012). Reztsy tokarnyye i kopiroval′nyye i reztsy-vstavki s mekhanicheskim krepleniyem smennykh mnogogrannykh plastin. Oboznacheniye [Turning and copying tool holders and cartridges for indexable inserts. Designation]. Moscow, 2021. 15 p. (In Russ.).
9. GOST 19042–80 (ISO 1832–85). Plastiny smennyye mnogogrannyye. Klassifikatsiya. Sistema oboznacheniy. Formy [Throw-away (indexable) inserts. Classification. Notation. Forms]. Moscow, 2006. 19 p. (In Russ.).
10. GOST R ISO 5479–2002. Statisticheskiye metody. Proverka otkloneniya raspredeleniya veroyatnostey ot normal′nogo raspredeleniya [Statistical methods. Tests for departure of the probability distribution from the normal distribution]. Moscow, 2002. 31 p. (In Russ.).
11. Bol′shev L. N., Smirnov N. V. Tablitsy matematicheskoy statistiki [Mathematical statistics tables]. Moscow, 1983. 436 p. (In Russ.).
12. Aleksandrovskaya L. N., Kirillin A. V., Kerber O. B. Vybor ryada kriteriyev proverki otkloneniya raspredeleniya veroyatnostey ot normal′nogo zakona v praktike inzhenernogo statisticheskogo analiza [Selection of a number of criteria for checking the deviation of the probability distribution from the normal law in the practice of statistical engineering analysis] // Trudy FGUP «NPTSAP». Sistemy i pribory upravleniya. Trudy FGUP «NPTSAP». Sistemy i Pribory Upravleniya. 2017. No. 1. P. 42–52. (In Russ.).
13. Shapiro S. S., Wilki M. B. An analysis of variance test for normality // Biometrica. 1965. Vol. 52, no. 3. P. 591–611. (In Engl.).
14. Voronov I. V., Mukhometzyanov R. N., Krasnova A. A. Vybor shiriny okna pri approksimatsii plotnosti raspredeleniya veroyatnosti metodom Parzena-Rozenblatta v sluchaye malogo ob′′yema vyborki [Selection of window width when approximating probability density functions by the Parzen-Rosenblatt method in the case of small sample sizes] // Radioelektronnaya tekhnika. Radio-electronic Engineering. 2016. No. 1 (9). P. 93–98. (In Russ.).
15. Syzrantsev V. N., Nevelev Ya. P., Golofast S. L. Raschet prochnostnoy nadezhnosti izdeliy na osnove metodov neparametricheskoy statistiki [Calculation of the strength reliability of products based on non-parametric statistical methods]. Novosibirsk, 2008. 218 p. ISBN 978-5-02-032151-9. (In Russ.).
16. Porshnev S. V., Koposov A. S., Berezovik E. I. Sravnitel′nyy analiz metodov Rozenblatta-Parzena i strukturnoy minimizatsii riska dlya approksimatsii plotnostey veroyatnostey sluchaynykh velichin [Comparative analysis of Rosenblatt–Parzen method and structural risk minimization method for approximation of the probability density functions of random variables] // Cloud of Science. Cloud of Science. 2019. Vol. 6, no. 2. P. 186–200. (In Russ.).
17. Nikulin V. S., Pestunov A. I. Approksimatsiya plotnosti raspredeleniya vremeni raboty mezhdu otkazami vychislitel′noy sistemy neparametricheskim metodom Rozenblatta-Parzena [Approximation of the distribution density of time between failures of a computing system by the Rosenblatt–Parzen nonparametric method] // Vestnik Voronezhskogo gosudarstvennogo tekhnicheskogo universiteta. Vestnik Voronezhskogo Gosudarstvennogo Tekhnicheskogo Universiteta. 2022. Vol. 18, no. 1. P. 36–41. DOI: 10.36622/VSTU.2022.18.1.004. (In Russ.).
18. Syzrantsev V. N., Antonov M. D. Vosstanovleniye funktsii plotnosti raspredeleniya predel′nykh napryazheniy materiala gazoprovoda na osnove znacheniy ikh kvantil′nykh otsenok [Restoring the density function of ultimate stresses distribution in gas pipeline material based on their quantile estimates] // Gazovaya promyshlennost′. Gazovaya Promyshlennost′. 2020. No. 12 (810). P. 86–93. (In Russ.).
19. Syzrantsev V. N., Syzrantseva K. V. Obrabotka dannykh mnogotsiklovykh ispytaniy na osnove kineticheskoy teorii ustalosti i metodov neparametricheskoy statistiki [Data processing of multi-cycle tests based on the kinetic theory of fatigue and methods of nonparametric statistics]. Tyumen, 2015. 135 p. ISBN 978-5-9961-1148-0. (In Russ.).
20. Syzrantseva K. V., Il′inykh V. N., Kolbasin D. S. Otsenka veroyatnosti otkaza reduktora sistemy verkhnego privoda burovoy ustanovki s uchetom rezhima yego ekspluatatsii [Assessing the failure probability of gearhead of drilling rig top drive system taking into account the mode of its operation] // Izvestiya vysshikh uchebnykh zavedeniy. Neft′ i Gaz. Oil and Gas Studies. 2019. No. 3 (135). P. 127–134. DOI: 10.31660/0445-0108-2019-3-127-134. (In Russ.).
Review
For citations:
Syzrantseva K.V., Vasilega N.A. Estimation of the probability of failure during operation of a prefabricated cutting tool with replaceable polyhedral plates by nonparametric statistics methods. Omsk Scientific Bulletin. 2023;(2):35-43. (In Russ.) https://doi.org/10.25206/1813-8225-2023-186-35-43
JATS XML




















