Planning an Experiment in Assessing Altitude–Velocity Characteristics of Aviation Gas Turbine Engine

  • A. S. GishvarovEmail author
  • M. N. Davidov
  • A. V. Zyrianov
Conference paper
Part of the Lecture Notes in Mechanical Engineering book series (LNME)


When fine-tuning aviation gas turbine engines (GTE), tests are carried out on high-altitude booths with imitation of engine operating conditions in high-speed conditions. Based on the test results, the high-speed characteristics of the GTE—the dependence of the thrust (R) and fuel consumption (GF) on the flight altitude (H) and rotor speed (n)—are constructed [the flight speed is kept constant (M = const)]. In order to reduce the material and time costs for carrying out the experimental study of the GTE, the tests are carried out according to a special planned experiment plan, which results in the construction of regression models of the type R = f (n, H), GF = f (n, H) (M = const) in the form of polynomials of the second order. The plans for experiments (PE) are selected from various sources of literature, for example, the catalogues of plans, etc. This article considers the methods for increasing the efficiency of PE by reducing the variance (d) estimation of parameters R and GF using regression models R = f (n, H), GF = f (n, H) and reducing the number of experiments (N) in PE.


Gas turbine engines Planning experiments Testing 


  1. 1.
    Gishvarov AS (2014) Increase the efficiency of multicriteria planning of a multifactor experiment. Mechanical engineering, MoscowGoogle Scholar
  2. 2.
    Gishvarov AS, Jernakov VS (2005) Multicriteria planning of the experiment in the study of aviation equipment. Sat. Sci. tr. “Problems of mechanical engineering and critical technologies in the machine building complex of the Republic of Bashkortostan”, pp 27–401Google Scholar
  3. 3.
    Adler UP, Markova EV, Granovskii UV (1976) Planning an experiment when searching for optimal conditions. Science, MoscowGoogle Scholar
  4. 4.
    Bikbylatov AM, Nadirshin AY, Bol’shagin VI (1982) Planning an experiment to study a combustion chamber with an anti-precise primary air supply. Interuniversity. Sci. Sat. “Testing of aircraft engines”. UAU, Ufa vol 10, pp 133–135Google Scholar
  5. 5.
    Gishvarov AS (2006) Aircraft and rocket engine design and development: Comprehensive optimization of plans for the experimental study of aircraft gas turbine engine characteristics. Russ Aeronaut 1:31–37Google Scholar
  6. 6.
    Gishvarov AS, Maksimov MA, Chin S (2004) Optimization of the experimental study of the characteristics of the gas turbine engine. Newsl SGAU. pp 462–468Google Scholar
  7. 7.
    Gishvarov AS, Maksimov MA, Chin S, Zyrianov AV, Gabdyllin VS (2004) Vector optimization of the experiment in modeling the characteristics of technical systems. Interuniversity Sci. Sat. “Problems of theory and calculation of working processes of thermal engines” vol 20:105–112Google Scholar
  8. 8.
    Gishvarov AS, Chin S (2005) The method of optimizing the experimental study of the characteristics of aviation GTE. Newsl USATU 1:190–205Google Scholar
  9. 9.
    Ermakov SM, Brodskii VZ, Jiglyavskii AA (1983) Mathematical theory of experiment planning. Science, MoscowGoogle Scholar
  10. 10.
    Zablochkii IE, Кarmalita VA (1979) Ensuring the required accuracy in determining the characteristics of a gas turbine engine Interuniversity Sci. Sat. “Testing of aircraft engines”. UAU, Ufa vol 7, pp 20–26Google Scholar
  11. 11.
    Grigor’ev VA, Gishvarov AS (2106) Tests of aircraft engines. Mashinostroenie, MoscowGoogle Scholar
  12. 12.
    Kryg GК, Sosylin UA, Fatyev VA (1977) Planning an experiment in problems of identification and extrapolation. Science, MoscowGoogle Scholar
  13. 13.
    Pihovskii LD (1075) Experimental design for combustion chambers. Interuniversity Sci. Sat. “Testing of aircraft engines” vol 3, pp 25–35Google Scholar
  14. 14.
    Cherkez AYa (1975) The possibilities of applying the theory of experimental planning in testing and finalizing GTE. Interuniversity Sci. Sat. “Testing of aircraft engines” vol 3, pp 3–13Google Scholar
  15. 15.
    Maksimov MA, Chin S, Gishvarov AS (2003) Effective method of experimental study of the characteristics of compressors of gas turbine plants. Sat. scientific works of the Academy of Sciences of the Republic of Belarus “Innovative problems of machine building in Bashkortostan”, pp 76–81Google Scholar
  16. 16.
    Hiks Ch (1967) Basic principles of experiment planning. Mir, MoscowGoogle Scholar
  17. 17.
    Podinovskii VV, Nogin VD (1982) Pareto-optimal solutions of multicriteria problems. MoscowGoogle Scholar
  18. 18.
    Polak E (1974) Numerical optimization methods. One approach, MoscowGoogle Scholar
  19. 19.
    Strogin RG (1978) Numerical methods in many-extremal problems. MoscowGoogle Scholar
  20. 20.
    Tynakov AP (1979) Optimization methods for the development and design of gas turbine engines. MoscowGoogle Scholar

Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • A. S. Gishvarov
    • 1
    Email author
  • M. N. Davidov
    • 1
  • A. V. Zyrianov
    • 1
  1. 1.Ufa State Aviation Technical UniversityUfaRussia

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