DETERMINATION OF THE CENTER OF GRAVITY OF AN UNMANNED AERIAL VEHICLE OF A TİLTROTOR TYPE
Abstract
The article analyzes research work in the direction of the correct location of the load center,
centering and gravity of the aircraft at the design and manufacturing stage in order to improve the
efficiency and safety of flights, as well as the characteristics of existing methods and means, and,
using the example of a tiltrotor unmanned aerial vehicle, a methodology for using the known the
"scale-graph" method, which is widely used in determining the center of gravity of an aircraft.
When determining the mass of the tiltrotor-type unmanned aerial vehicle designed and developed
by us and calculating the coordinates of the center of gravity, an analysis of the standard deviation
and probable error was carried out. The characteristics and possibilities of practical application
of mobile electronic scales as the main means of measuring the load of an unmanned aerial
vehicle in stationary conditions, as well as direct weighing, which makes it possible to determine
the center of gravity, are considered. A method developed for determining the center of gravity of
an aircraft with increased accuracy is described, and a model for constructing the proposed
system is presented. The results of theoretical and experimental studies carried out to determine the mass and center of gravity of an unmanned aerial vehicle are analyzed. To do this, in
accordance with the methodology, the plane of the laboratory table was brought to a
horizontal position with a level gauge and the measurement errors of digital measuring
scales were checked according to the results of measuring the reference load. The
measurements were repeated by changing the position of the scales clockwise. According to
the measurement results, since the center of gravity of the aircraft was taken differently on
both axes, and the intermediate point fell outside the central axis (to the right or left, front to
back), repeated measurements were taken by shifting the load in the appropriate direction to
ensure centering during measurements. According to the final results, center of gravity
diagrams were constructed based on the calculated values of the coordinates of the points of
intersection of the diagonals and random slope values were determined. Based on the
diagrams constructed using the program, the final graph was obtained with the root-meansquare
error of the deviation of the aircraft from the axis of symmetry, equal to σ=0.047 sm
References
beskontaktnogo opredeleniya vesa i tsentra tyazhesti vozdushnykh sudov [Structural model of
a system for contactless determination of the weight and center of gravity of aircraft], Izvestiya
YuFU. Tekhnicheskie nauki [Izvestiya SFedU. Engineering Sciences], 2018, pp. 156-167.
2. Askerov C., Nabiyev R., İsgandarov İ. TSifrovoy izmeritel' zagruzhennosti [Digital load
meter], Milli Aviasiya Akademiyasının Elmi Əsərləri [Scientific Works of the National Aviation
Academy], 2002, Vol. 2, pp. 104-111.
3. Nabiev R.N. Analiz metodov izmereniya zagruzhennosti i tsentrovki letatel'nykh apparatov v
Aeroportakh [Analysis of methods for measuring the workload and centering of aircraft at
Airports], Elmi Məcmuələr [Scientific Collections]. 2005, Vol. 7, No. 1, pp. 74-78.
4. Nabiev R.N., Abdullaev A.A., Garaev G.I. Konstruktivnoe oformlenie bespilotnogo letatel'nogo
apparata konvertoplanovogo tipa [Constructive design of an unmanned aerial vehicle of a
tiltrotor type], Aviakosmicheskoe priborostroenie [Aerospace instrumentation], 2022, No. 6,
pp. 3-13. DOI: 10.25791/aviakosmos. 6.2022. 1274.
5. Nabiyev R.N., Abdullayev A.A. Structural emplacement and layout of elements of the developed
convertiplane type unmanned aerial vehicle, Proceedings of the 2nd International Scientific and
Practical Conference. Concepts for the development of society’s scientific potential. Prague, Czech
Republic, 19-20.05.2022, pp. 325-330. DOI: 10.51582/interconf. 19-20.05.2022.041.
6. Nabiev R.N., Abdullaev A.A. Issledovanie osnovnykh aerodinamiche-kikh parametrov planera
bespilotnogo letatel'nogo apparata konvertoplanovogo tipa [Investigation of the main aerodynamic
parameters of the airframe of an unmanned aerial vehicle of a tiltrotor type],
Aviakosmicheskoe priborostroenie [Aerospace instrumentation], 2022, No. 4, pp. 17-33. DOI:
10.25791/aviakosmos. 4.2022.1274.
7. Nabiyev R.N., Garayev G.I., Abdullayev A.A. Conceptual functional design of hybrid energy
source of unmanned convertiplane, IOP Conference Series: Conference Scopus. Materials Science
and Engineering, 2020, 862, 022043. DOI: 10.1088/ 1757-899X/862/2/022043.
8. “Skywalker X8”. Assembly manual, January 2013, 35 p. Available at: www.raygrauberger.com
(accessed 17 July 2022).
9. Iskenderov I.A. Analitiko-imitatsionnaya model' sistemy beskontaktnogo opredeleniya massy i
tsentra tyazhesti samoletov [Analytical and simulation model of a system for contactless determination
of the mass and center of gravity of aircraft], Izmeritel'naya tekhnika [Measuring equipment],
2021, No. 12, pp. 35-41. Available at: https://doi.org/10.32446/0368-1025it.2021-12-35-41.
10. Pashaev A.M., Gasanov A.R., Iskenderov I.A., Agaev E.A. Sposob beskontaktnogo opredeleniya
stepeni zagruzhennosti i tsentrovki vozdushnykh sudov [A method for contactless determination of the
degree of congestion and alignment of aircraft], Patent-invention, I2016 0003. Official Bulletin of the
Committee on Standardization, Metrology and Patents. The Republic of Azerbaijan, 2016, No. 5,
pp. 51. Available at: http://patent.copat.gov.az/_files/ Ixtira_2016_ 05.pdf (accessed 17 July 2022).
11. Rukovodstvo po tsentrovke i zagruzke samoletov GA SSSR. RTSZ-83 [Guidance on centering
and loading aircraft of the USSR GA. RCZ-83]. Part' 1 and 2. Moscow, 1983, 83 p. (168 s).
12. Marchenko D. Tsentrovka vozdushnogo sudna: mirovaya praktika, aktual'nye problemy,
perspektivy razvitiya [Aircraft alignment: world practice, current problems, development prospects].
Available at: http://www.ato.ru/content/centrovka-vozdushnogo-sudna-mirovayapraktika-
ktualnye-problemy-perspektivy-razvitiya, 2013 (accessed 29 August 2022).
13. National Aerospace Laboratory NLR-TP-2007-153. Analysis of aircraft weight and balance related
safety. Available at: http://www.skybrary.aero/bookshelf/books/1149.pdf. EASS, 12- 14.03,
2007 (accessed 09 September 2022).
14. Nabiyev R.N. Abdullayev A.A. Results of measurements carried out for the purpose of
determining the center of gravity of a convertiplane-type UAV, Proceedings of the 6th International
Scientific and Practical Conference «Current issues and prospects for the Development
of Scientific Research». Orleans, France. (October 19-20, 2022). Scientific Collection
«InterConf+», 2022, No. 26 (129), pp. 197-202. DOI: 10.51582/interconf.19-20.10.2022.021.
15. Cherepashchuk G.A., Potyl'chak A.P., Borzenkova A.V. Povyshenie tochnosti vzveshivaniya i
tsentrovki letatel'nykh apparatov [Improving the accuracy of weighing and centering of
aircraft], Aviatsionno-kosmicheskaya tekhnika i tekhnologiya [Aerospace engineering and
technology], 2014, No. 1, pp. 66-72.
16. Aircraft Weight and Balance Handbook. FAA-H-8083-1A”, 2007, Washington D.C. U.S.
Government Printing Office, pp. 23. Available at: https://www.faa.gov/regulations_policies/
handbooks_manuals/aviation/media/FAA-H-8083-1.pdf (accessed 30 August 2022).
17. Zagorskiy V.A., Kiselev D.Yu., Sanchutov V.I. Ispytaniya vozdushnykh sudov: elektron. ucheb
posobie [Aircraft testing: electron. textbook]. Samara: Izd-vo SGAU, 2014, 75 p.
18. Reutov A.A., Averchenkov V.I., Rytov M.Yu., Fedorov V.P. Imitatsionnoe modelirovanie
releynykh sistem regulirovaniya skorosti i konveyera [Simulation of relay systems for speed
control and conveyor], Vestnik MGTU im. N.E. Baumana [Bulletin of the Bauman Moscow
State Technical University], 2019, No. 2, pp. 76-90. Available at: https://doi.org/10.18698/
0236-3933-2019-2-76-90 (accessed 17 July 2022).
19. Petrov V.V., Shkavera K.N. Issledovanie tochnosti izmereniya rasstoyaniy lazernoy ruletkoy
«DISTO PRO» firmy «LEICA» [The study of the accuracy of measuring distances with a laser
tape measure "DISTO PRO" of the company "LEICA"], Zapiski Gornogo instituta [Notes of
the Mining Institute], 2004, Vol. 156, pp. 232-234.
20. Loktev D.A. Metody i modelirovanie izmeritel'noy sistemy kontrolya ob"ektov transporta po
ikh izobrazheniyam: diss. … d-ra tekh. nauk [Methods and modeling of the measuring system
for monitoring transport objects by their images: dr. of eng. sc. diss.]. Moscow, 2020.
21. Osadchiy S., Tymoshenko G. Methods for determining the weight and the center of gravity of
UAV, 2017 IEEE 4th International Conference Actual Problems of Unmanned Aerial Vehicles
Developments (APUAVD). DOI: 10.1109/APUAVD. 2017.8308794.
22. Nabiev R.N., Abdullaev A.A., Garaev G.I. Razrabotka kontseptual'noy funktsional'noy
skhemy bespilotnogo konvertoplana s gibridnym istochnikom energii [Development of a
conceptual functional scheme of an unmanned tiltrotor with a hybrid energy source],
Aviakosmicheskoe priborostroenie [Aerospace instrumentation], 2021, No. 5, pp. 03-18.
DOI: 10.25791/aviakosmos.5.2021.1217.
