UDK 519.248.6
STATISTICAL ANALYSIS OF THE RELATIONSHIP OF CONSTRUCTIVE CHARACTERISTICS OF AIRCRAFTS
E. I. Balaban1, P. Yu. Bunakov2, А. V. Gal’chenko3, V. А. Tegin1
1Kolomna Institute of Moscow Polytechnic University 408, Oktyabr’skaya revolyutsiya Str., Kolomna, 140408, Russian Federation 2State Social-Humanitarian University 30, Zelenaya Str., Kolomna, 140410, Russian Federation 3Research and Production Corporation «Konstruktorskoye byuro mashynostroyeniya», 42, Okskiy Av., Kolomna, 140402, Russian Federation
The subject of this research is modern domestic and foreign aviation technology. Technical specifications of civilian and military transport aircrafts, 25 of which made in Russia and 54 abroad, were inspected. The main purpose of investigation is exploration of dependences between aviation technology development and certain major aircraft parameters. Correlation and regression analysis was used for research of dependences as mathematical apparatus. The article contains the results of statistical analysis of relationship between chosen aircraft parameters. The most correlation was found between payload capacity and unloaded plane weight. This was the reason for further analysis and development of dependences. As a result of this analysis all aircrafts were divided by the following parameters: dry weight (less then 75 tons and more than this value) and the place of origin (Russian and foreign). Chow’s test was used to examine the applicability of such grouping. Linear model of dependences gives the same accuracy as nonlinear model so it was used in this research. Dependence of aircraft payload on dry weight was obtained for aircrafts of all groups. Integrated parameters were used for analysis. Confidential intervals for dependence of aircraft payload on dry weight prediction was found. Parameters of only 7 aircrafts were out of 90 % interval. Domestic aircrafts have more payload spread and on the average trail by 2.5 tons of foreign ones. Statistical principles obtained using chosen mathematical apparatus allow analyzing existing design technologies and prognosing the level of development aircraft construction. The similar method of research can be used in various areas of development and manufacturing prospective high tech production, including space-rocket hardware.
Keywords: aircraft, payload, take-off mass, constructional perfection, correlation coefficient, regression equation.
References

1. Sarkisyan S. A., Minaev E. S., Nechaev P. A. Ehkonomicheskaya ehffektivnost’ perevozok gruzov vozdushnym transportom [The economic efficiency of transport of goods by air transport]. Moscow, Transport Publ, 1984, 139 p.

2. Myshkin L. V. Prognozirovanie razvitiya aviatsionnoy tekhniki [Forecasting the development of aviation technology]. Moscow, Fizmatlit Publ., 2008, 123 p.

3. Eger S. M., Mishin V. F., Lisejcev N. K., Badyagin A. A., Rotin V. E., Skltskij F. I., Kondratov N. A.,Kiselev V. A., Fomin N. A. Proektirovanie samoletov [Design of aircraft]. Moscow, Mashinostroenie Publ., 1983, 616 p.

4. Balaban E. I., Gal’chenko A. V., Tegin V. A. [Application animationslogo method of determining the value of serial samples of military equipment for performing long-term research forecast it procurement]. Vooruzhenie i ekonomika. 2015, No. 1(30), P. 83–98 (In Russ.).

5. Gal’chenko A. V., Tegin V. A. [Long-term forecast of the cost of fighting aircraft and number of air force countries in the world]. Vooruzhenie i ekonomika. 2012, No. 3(19), P. 73–84 (In Russ.).

6. Gal’chenko A. V., Tegin V. A. [To the question about the paradigm of price formation for high-tech products]. V mire nauchnykh otkrytiy. 2011, No. 6 (18), P. 79–85 (In Russ.).

7. Gal’chenko A. V., Tegin V. A. A. Long Term Forecast of Market Pricesfor Military Transport Aircraft. Studies on Russian Economic Development. 2010, Vol. 21, No. 4, P. 380–392.

8. Gal’chenko A. V., Tegin V. A. Long-Term Forecasting of Investments in Civil and Military Transport Aviation. Studies on Russian Economic Development. 2007, Vol. 18, No. 5, P. 457–465.

9. Gal’chenko A. V., Tegin V. A. [Long-term forecasting of investment in civil and military transport aircraft]. Problemy prognozirovaniya. 2007, No. 5, P. 16–26 (In Russ.).

10. Danilkovich D., Shvarev V. [Evaluation of the world market of aviation equipment in 2004–2008. Analysis of the portfolio of orders for the supply of aircraft in 2009–2013]. Rynki vooruzheniy. 2008, Vol. 8, No. 10, P. 22–31. (In Russ.).

11. Danilkovich D., Shvarev V. [Analysis of the world market of military aircraft in 2001–2015. Multifunction fighter jets, tanker aircraft and drones]. Rynki vooruzheniy. 2007, Vol. 7, No. 7, P. 24–28 (In Russ.).

12. Voennye samolety mira. Spravochnik [Military aircraft of the world. Reference]. Ed. N. N. Novichkova. Moscow, Informacionnoe agentstvo ARMS-TASS Publ., 2009, 412 p.

13. Belyaev V. V., Levin A. M., Ruzhinskij E. I. Spravochnik po zarubezhnym voennym i grazhdanskim samoletam i vertoletam (po materialam inostrannoy pechati). [Handbook of foreign military and civil aircraft and helicopters (on materials of foreign seal)]. Moscow, CAGI im. professora N. E. Zhukovskogo Publ., 1985, 370 p.

14. Transfers of major conventional weapons: sorted by supplier. Deals with deliveries or orders made for year range 2011 to 2011. SIPRI Arms Transfers Database. Available at https://ru.scribd.com/document/126175568/ Trade-Register-Arms-Transfer (accessed 16.02.2017).

15. Selected Acquisition Report (SAR). Defense Acquisition Management Information Retrieval (DAMIR). Available at http://www.globalsecurity.org/military/library/budget/fy2013/sar (accessed 16.02.2017).

16. World Air Forces 2013. Flightglobal Insight. Quadrant House, The Quadrant, Sutton, Surrey, SM2 5AS, UK. 62 p.

17. P. Jackson Jane’s. All the World’s Aircraft. Ninety-fifth year of issue 2004–2005. Part 1. Jane’s Information Group. 2004. 860 p.

18. Klassifikaciya letatel’nyh apparatov [Classification of aircraft]. Available at: http://crown-airforce.narod.ru/ classif.html (accessed 09.12.2016).

19. Drejper N., Smit G. Prikladnoy regressionnyy analiz [Applied regression analysis]. Moscow, Dialektika-Vil’yams Publ. 2016. 912 p.

20. Ajvazyan S. A. Osnovy econometriki [Basic econometrics]. Moscow, YUNITI-DANA Publ. 2001. 432 p.

21. Chow G. Tests of equality between sets of coefficients in two linear regressions. Econometrica.1960, Vol. 28, P. 591–605.


Balaban Elena Ivanovna – Cand. Sc., Docent, Kolomna Institute, branch of Moscow Polytechnic University.

E-mail: balabanvmif@mail.ru.

Bunakov Pavel Yur’evich – Dr. Sc., professor, State Social-Humanitarian University. E-mail: pavel_jb@mail.ru.

Gal’chenko Andrej Vasil’evich – leading engineer-designer, JSC “Research-and-production corporation

“Konstruktorskoye byuro mashynostroyeniya”. E-mail: koriaga20@mail.ru.

Tegin Vladilen Aleksandrovich – Cand. Sc., Docent, Kolomna Institute, branch of Moscow Polytechnic University.

E-mail: vladilent@mail.ru.