Method for evaluating the shelf-life indicators for on-board equipment of surface-to-air missiles during periodic inspections of their operability
- Authors
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Igor Koval
Ivan Kozhedub Kharkiv National Air Force University
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- Keywords:
- Array, Array, Array, Array, Array, Array
- Abstract
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Modern surface-to-air missiles (SAM), as a rule, are products that are not fi re-tested during service life. Such missiles, from the point of view of reliability, are characterized by reliability and shelf life. Usual approach to verify the missiles that are not tested is to make periodic selective inspections of their on-board equipment operability. Such verifi cations are performed while extending the assigned service life indicators. This verifi cation provides only information on the number of products that failed, while the moments of failure occurrence are unknown. The latter means that there is an interval uncertainty regarding exact moments when these failures occurred. The article proposes a method for assessing the operability of airborne equipment of surface-to-air missiles and other components with interval uncertainty, which is due to selective periodic operability checks. Main features of the method are: preliminary estimation of the empirical distribution function; plotting the dependence of the accumulated failure rate on the duaration of storage and its extrapolation to a time interval that is limited by entire shelf life of products; obtaining the inverse function for calculating the duration of storage of products to failure. Such dependence of accumulated failure rate upon the shelf-life duration corresponds to the restored distribution function. This method eliminates the interval unacertainty of the moments of failure due to restoration of the distribution function using nonparametric methods. Assessment accuracy of the shelf life indicators, which are calculated in accordance with the proposed method, are verified by comparing the estimates calculated by this method with the reference estimates, which are calculated under the assumption that the distribution law of the storage time of the products to failure is known. We used computer to simulate the tests for shelf life performance of products by means of generating the sample of durations of storage to failure using the well-known Weibull distribution function. Based on the simulated sample data, we set up initial data regarding the number of products to have necessary storage to failure durations. These initial data were collected on the observation interval given the three options, as if these data were obtained from actual tests. Parametric assessment of shelf life indicators was carried out. The results of modeling and calculating the accuracy of the estimation of indicators of residual shelf life are presented. The method developed here allows obtaining estimates of these indicators with acceptable errors. This method requires selective periodic inspections of products that should be planned as part of the work program to extend the assigned service life indicators.
The method can be used to evaluate the shelf life performance of not only onboard equipment of missiles, but also of other missile’s components, technical condition of which is not checked during service life. - Author Biographies
- References
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Lanetsky, B. M., Koval, I. V. & Popov, V. P. (2019), «Metod otsiniuvannia pokaznykiv zberezhuvanosti bortovoho obladnannia zenitnykh kerovanykh raket dlia vyrishennia zavdan prodovzhennia yikh pryznachenykh pokaznykiv» [Method for estimating the storage measures of the airborne equipment of the surface-to-air guided missiles for solving the problems of extending their assigned measures], Science and technology of the Air Forces of Ukraine. № 2 (35). Pp. 119−125.
Lanetsky, B. M., Dedenok, V. P., Koval, I. V. & Lukianchuk, V. V. (2018), “Butstrep-metod otsiniuvannia pokaznykiv nadiinosti bortovoho obladnannia zenitnykh kerovanykh raket z vykorystanniam apriornoi informatsii dlia vyrishennia zavdan prodovzhennia pryznachenykh pokaznykiv” [Bootstrap method for evaluating the reliability indicators of the airborne equipment of the surface-to-air guided missiles with the use of the priority information for solving the problems of extension of the appointed indicators], Science and technology of the Air Forces of Ukraine. № 3(32). Pp. 25−31.
Lanetsky, B. M., Koval, I. V., Shokolovskyi, A. A., Popov, V. P., Seleznev, S. V. & Dontsov, S. M. (2015), “Rozrobka metodychnykh rekomendatsii z otsiniuvannia pokaznykiv zberezhuvanosti bortovoho obladnannia zenitnykh kerovanykh raket pry vyrishenni zavdan prodovzhennia pryznachenykh pokaznykiv”, [Development of recommendations for the assessment of indicators showing state of electronic components in surface-to-air guided missile during their shelf life when solving the problems of extending the designated terms], Science and technology of the Air Forces of Ukraine. № 4(21). Pp. 71−75.
Voshchynyn, A. P. & Sotyrov, H. R. (1989), “Optymyzatsyia v uslovyiakh neopredelennosty» [Optimization in conditions of uncertainty], MEI. USSR. «Equipment». NRB. 224 p.
Voshchynyn, A. P. (2002), “Intervalnyi analiz dannyih: razvitie i perspektivyi” [Interval data analysis: development and prospects], Factory Laboratory. Vol. 68. №1. Pр. 118−126.
Anoprienko, A. Ya., Ivanitsa, S. V. & Hamza Al Rababa. (2012), “Intervalnyi analiz i ego primenenie pri raschetah parametrov servernyh kompyuternyh sistem” [Interval analysis and its application in calculating the parameters of server computer systems], Radio electronics, computer science, management. № 2. Pp.70−73.
Shokin, Yu. I. (1981), «Intervalnyi analiz» [Interval analysis], Science, Novosibirsk. 111 p.
Tobias, P. A. & Trindade, D. C. (2012). Applied Reliability. Third Edition. Boca Raton: CRC Press. 600 p.
Ohring, M. & Kasprzak, L. (2014). Reliability and Failure of electronic Devices and Materials. Second Edition. Amsterdam: Elsevier. 758 p. DOI: https://doi.org/10.1016/B978-0-12-088574-9.00002-1
State Standard of Ukraine (1995), “3004:1995. Nadiinist tekhniky. Metody otsinky pokaznykiv nadiinosti za eksperymentalnymy danymy” [3004:1995 Reliability of technology. Methods for estimating the reliability of the experimental data], K., 123 p.
Sudakov, R. S., Teskin, O. I. and others (1989), “Nadezhnost i effektivnost v tehnike. Spravochnik v desyati tomah. T. 6: Eksperimentalnaia otrabotka i ispyitaniia» [Reliability and efficiency in engineering. A guide in ten volumes. Vol. 6: Experimental testing and testing], Mechanical engineering, M. 376 p.
Jun Shao & Tu. Dongsheng (2012).The Jackknife and Bootstrap. Springer Science & Business Media. 517 р.
Hall Peter. (2013). The Bootstrap and Edgeworth Expansion. Springer Science & Business Media. 354 р.
Antonov, A. V., Sokolov, S. V. & Chepurko, V. A. (2012), “Butstrep-metod otsenki harakteristik nadezhnosti vosstanavlivaemyh obektov po spetsifi cheskim dannym ob otkazah”, [Bootstrap method for assessing the reliability characteristics of recoverable objects based on specifi c failure data], Information technology. № 4. Pp. 50−54.
Zheng-dong Hu, Yuan Cao, Shi-feng Zhang & Hong Cai. (2008). Bootstrap method for missile precision evaluation under extreme small sample test. Coll. of Aerospace and Material Engineering. Nat. Univ. of Defence Technology. Changsha 410073. China. Systems Engineering and Electronics.
Muscolino, G., Santoro, R. & Sofi , A. Reliability analysis of structures with interval uncertainties under stationary stochastic excitations. Computer Methods in Applied Mechanics. Elsevier. 2016. Vol. 300. Pp. 47−69. DOI: https://doi.org/10.1016/j.cma.2015.10.023
Li Hong-liang, Song Gui-bao, Kong Li, Tang Pei-feng & Liu Tie. Research on methods of allocation and prediction of missile storage reliability. Machinery Design & Manufacture. 2011-08.
- Published
- 2020-06-26
- Section
- AIR DEFENSE SYSTEMS
- License
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Copyright (c) 2020 Борис Миколайович Ланецький, Ігор Вікторович Коваль, Валерій Петрович Попов, Валерій Іванович Гриневич

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