3_2022_sen_1

Title of the article METHOD FOR ASSESSING THE MODAL PARAMETERS OF PLANETARY REDUCERS OF MINING DUMP TRUCKS MOTOR WHEELS DURING THEIR OPERATIONAL VIBRATION DIAGNOSTICS
Authors

ISHIN Nikolay N., D. Sc. in Eng., Assoc. Prof., Chief of the R&D Center “Mining Machinery”, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

GOMAN Arkadiy M., Ph. D. in Eng., Assoc. Prof., Head of the Department of Dynamic Analysis and Vibration-based Diagnostics of Machines, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

SKOROKHODOV Andrey S., Ph. D. in Eng., Leading Researcher of the Department of Dynamic Analysis and Vibration-based Diagnostics of Machines, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

SHPORTKO Vladimir V., Researcher of the Department of Dynamic Analysis and Vibration-based Diagnostics of Machines, Joint Institute of Mechanical Engineering of the NAS of Belarus, Minsk, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

PANOVKO Grigory Ya., D. Sc. in Eng., Prof., Chief Researcher, Mechanical Engineering Research Institute of the Russian Academy of Sciences, Moscow, Russian Federation, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

SHYSHKO Sergei A., Deputy Designer General, OJSC “BELAZ” – Management Company of Holding “BELAZ-HOLDING”, Zhodino, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.

KARPOVICH Peter G., Head of the Design-Engineering Department, OJSC “BELAZ” – Management Company of Holding “BELAZ-HOLDING”, Zhodino, Republic of Belarus, This email address is being protected from spambots. You need JavaScript enabled to view it.">This email address is being protected from spambots. You need JavaScript enabled to view it.
In the section MECHANICS OF MOBILE MACHINES
Year 2022
Issue 3(60)
Pages 24–34
Type of article RAR
Index UDK 621.833.65:534
DOI https://doi.org/10.46864/1995-0470-2022-3-60-24-34
Abstract Technical condition diagnostics of the planetary reducers of motor wheels in mining dump trucks electromechanical power units requires the study of dynamic processes caused by shock pulses in gearings when tooth remating. The levels of the occurring vibrations are determined by the natural frequencies and natural modes of reducer. The article describes calculation method based on the study of the developed dynamic model of a two-row planetary reducer of a motor wheel, describing the torsional vibrations of its elements and differing from the known ones by taking into account the compound motion of the planetary row satellites, the axes of which rotate together with the carrier. The calculation of natural frequencies and modes of vibrations is reduced to the computation of eigenvalues and eigenvectors of a matrix of special form based on the application of the iterative numerical method of Jacobi rotations. As an example, the calculation is given for gears of the motor wheel reducer of BELAZ mining dump trucks of the 7530 and 7531 series with a load capacity of 220 and 240 tons, respectively. The calculation of the natural frequencies of reducer performed makes it possible to determine those harmonic components of vibration-inducing disturbances in the form of shock pulses which cause resonance phenomena in the mechanism contributing to a significant increase of dynamic loads levels and accelerating the processes of lifetime expense of gear trains. In addition, the analysis of natural modes parameters makes it possible to determine the reducer elements with the highest vibration activity and monitor during vibration monitoring the technical condition of gear trains that limit the reliability of the mechanism.
Keywords mining dump truck, motor wheel reducer, planetary gear train, dynamic model, natural frequencies and modes, technical condition diagnostics
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Bibliography
  1. Keuthen M. REXS – standardized gear unit model. Proc. International conference on gears. Garching, Munich, 2019, pp. 701–712. DOI: https://doi.org/10.51202/9783181023556-701.
  2. Algin V.B., Ishin N.N., Starzhinsky V.E., Shil’ko S.V., Rackov M., Čavić M. Development of digital twins for gears and transmissions based on lifetime mechanics and composites mechanics. Aktualnye voprosy mashinovedeniya, 2019, iss. 8, pp. 172–184.
  3. Grib V.V., Zhukov R.V., Perminov M.D., Koltsov V.I., Krasnokutskiy A.N., Efros D.G. Diagnosticheskie modeli izmeneniya tekhnicheskogo sostoyaniya mekhanicheskikh sistem. Chast 2. Vibrodiagnostika. Modalnyy analiz. Konechno-elementnye tekhnologii otsenki tekhnicheskogo sostoyaniya mekhanicheskikh sistem [Diagnostic models of the technical condition change of mechanical systems. Part 2. Vibration diagnostics. Modal analysis. Finite element technologies for assessing the technical condition of mechanical systems]. Moscow, Moskovskiy avtomobilno-dorozhnyy institut (gosudarstvennyy tekhnicheskiy universitet) Publ., 2008. 263 p. (in Russ.).
  4. Kostyukov V.N., Naumenko A.P. Osnovy vibroakusticheskoy diagnostiki i monitoringa mashin [Fundamentals of vibroacoustic diagnostics and monitoring of machines]. Omsk, Omskiy gosudarstvennyy tekhnicheskiy universitet Publ., 2011. 360 p. (in Russ.).
  5. Ayrapetov E.L., Aparkhov V.I., Zhirnov A.A., Kosarev O.I., Chernyavskiy I.T. Analiz vynuzhdennykh parametricheskikh kolebaniy kosozuboy peredachi na AVM [Analysis of forced parametric vibrations of a helical gearing on an analog computer]. Dinamicheskie protsessy v mekhanizmakh s zubchatymi peredachami, 1976, pp. 111–125 (in Russ.).
  6. Ayrapetov E.L., et al. Vibratsii v tekhnike. Tom 3: Kolebaniya mashin, konstruktsiy i ikh elementov [Vibrations in engineering. Volume 3: Vibrations of machines, structures and their elements]. Moscow, Mashinostroenie Publ., 1980. 544 p. (in Russ.).
  7. Berestnev O.V., Goman A.M., Ishin N.N. Analiticheskie metody mekhaniki v dinamike privodov [Analytical methods of mechanics in drives dynamics]. Minsk, Nauka i tekhnika Publ., 1992. 238 p. (in Russ.).
  8. Dinamicheskie protsessy v mekhanizmakh s zubchatymi peredachami [Dynamic processes in mechanisms with gear trains]. Moscow, Nauka Publ., 1976. 155 p. (in Russ.).
  9. Kolebaniya mekhanizmov s zubchatymi peredachami [Vibrations of mechanisms with gear trains]. Moscow, Nauka Publ., 1977. 150 p. (in Russ.).
  10. Parker R.G., Vijayakar S.M., Imajo T. Non-linear dynamic response of a spur gear pair: modelling and experimental comparisons. Journal of sound and vibration, 2000, vol. 237, iss. 3, pp. 435–455. DOI: https://doi.org/10.1006/jsvi.2000.3067.
  11. Kahraman A., Kharazi A.A., Umrani M. A deformable body dynamic analysis of planetary gears with thin rims. Journal of sound and vibration, 2003, vol. 262, iss. 3, pp. 752–768. DOI: https://doi.org/10.1016/S0022-460X(03)00122-6.
  12. Kahraman A., Ding N. A methodology to predict surface wear of planetary gears under dynamic conditions. Mechanics based design of structures and machines, 2010, vol. 38, iss. 4, pp. 493–515. DOI: https://doi.org/10.1080/15397734.2010.501312.
  13. Kalinin D.V. Nelineynye kolebaniya v planetarnykh reduktorakh s podatlivymi oporami tsentralnykh koles [Nonlinear vibrations in planetary reducers with compliant central wheels supports]. Science & education, 2016, no. 10, pp. 69–84. Available at: http://engineering-science.ru/doc/848171.html (accessed 14 September 2021) (in Russ.).
  14. Kalinin D.V., Temis Yu.M. Dinamicheskaya model planetarnogo reduktora turboreaktivnykh dvukhkonturnykh dvigateley [Dynamic model of the planetary reducer of turbojet two-circuit engines]. BMSTU journal of mechanical engineering, 2017, no. 3, pp. 66–75. DOI: https://doi.org/10.18698/0536-1044-2017-3-66-75 (in Russ.).
  15. Mikhaylov V.V., Ishin N.N., Dyko G.A., Gavrilov S.A., Trukhnov L.I. Modelirovanie dinamicheskikh protsessov v planetarnykh reduktorakh motor-koles karernogo samosvala pri troganii i razgone [Simulation of dynamic processes in planetary reducers of a mining dump truck motor wheels during starting and accelerating]. Science & education, 2012, no. 4, pp. 64–68 (in Russ.).
  16. Kostyukov V.N. Obobshchennaya diagnosticheskaya model vibroakusticheskogo signala obektov periodicheskogo deystviya [Generalized diagnostic model of vibroacoustic signal of objects with periodic action]. Omsk scientific bulletin, 1999, iss. 6, pp. 37–41 (in Russ.).
  17. Ognjanović M., Fathi A. Gear vibrations in supercritical mesh-frequency range caused by teeth impacts. Strojniški vestnik, 2010, vol. 56, iss. 10, pp. 653–662.
  18. Yang J., Yang P. Random vibration analysis of planetary gear trains. Journal of vibration and acoustics, 2013, vol. 135, iss. 2. DOI: https://doi.org/10.1115/1.4023053.
  19. Machnev A.V., Machnev V.A., Komarov V.A., Zyabirov I.M. Vibratsionnye protsessy pri rabote korobok peredach traktorov [Vibration processes during operation of tractors gearboxes]. Niva Povolzhya, 2014, no. 4(33), pp. 91–94 (in Russ.).
  20. Ishin N.N. Dinamika i vibromonitoring zubchatykh peredach [Dynamics and vibration monitoring of gear trains]. Minsk, Belorusskaya nauka Publ., 2013. 432 p. (in Russ.).
  21. Kutsubina N.V., Sannikov A.A. Teoriya vibrozashchity i akusticheskoy dinamiki mashin [Theory of vibroprotection and acoustic dynamics of machines]. Ekaterinburg, Uralskiy gosudarstvennyy lesotekhnicheskiy universitet Publ., 2014. 167 p. (in Russ.).
  22. Soami P. Modeling vibration and noise in a gearbox. Available at: https://www.comsol.ru/model/download/903281/models.aco.gearbox_vibration_noise.pdf (accessed 17 September 2021).
  23. Pavlov V.B. Akusticheskaya diagnostika mekhanizmov [Acoustic diagnostics of mechanisms]. Moscow, Mashinostroenie Publ., 1971. 224 p. (in Russ.).
  24. Kechik D.A., Aslamov Yu.P., Davydov I.G., Loshchinin I.V. Otsenka periodichnosti udarnykh impulsov vibratsionnogo signala [Estimation of the periodicity of shock pulses of a vibration signal]. Trudy Respublikanskoy nauchno-prakticheskoy konferentsii “Informatsionnye radiosistemy i radiotekhnologii 2020” [Proc. Republican scientific and practical conference “Information radio systems and radio technologies 2020”]. Minsk, 2020, pp. 229–233 (in Russ.).
  25. Loytsyanskiy L.G., Lure A.I. Kurs teoreticheskoy mekhaniki. Tom 2: Dinamika [Course of theoretical mechanics. Volume 2: Dynamics]. Moscow, Drofa Publ., 2006. 720 p. (in Russ.).
  26. State Standard 16532-70. Peredachi zubchatye tsilindricheskie evolventnye vneshnego zatsepleniya. Raschet geometrii [Cylindrical involute external gear pairs. Calculation of geometry]. Moscow, Standartov Publ., 1983. 43 p. (in Russ.).
  27. State Standard 21354-87 (ST SEV 5744-86). Peredachi zubchatye tsilindricheskie evolventnye vneshnego zatsepleniya. Raschet na prochnost [Cylindrical evolvent gears of external engagement. Strength calculation]. Moscow, Standartov Publ., 1988. 129 p. (in Russ.).
  28. Instruction R.007–2004. Raschet zubchatykh peredach na prochnost [Strength calculation of gears]. Moscow, Rossiyskiy rechnoy reestr Publ., 2004. 91 p. (in Russ.).
  29. Grishkevich A.I., Vavulo V.A., Karpov A.V., Moliboshko L.A., Rukteshel O.S. Avtomobili: Konstruktsiya, konstruirovanie i raschet. Transmissiya [Cars: Construction, design and calculation. Transmission]. Minsk, Vysshaya shkola Publ., 1985. 240 p. (in Russ.).
  30. Andrienko L.A., et al. Detali mashin [Machine elements]. Moscow, Moskovskiy gosudarstvennyy tekhnicheskiy universitet im. N.E. Baumana Publ., 2002. 544 p. (in Russ.).
  31. Artobolevskiy I.I., et al. Vibratsii v tekhnike. Tom 1: Kolebaniya lineynykh sistem [Vibrations in engineering. Volume 1: Vibrations of linear systems]. Moscow, Mashinostroenie Publ., 1978. 352 p. (in Russ.).
  32. Algin V.B., Pavlovskiy V.Ya., Poddubko S.N. Dinamika transmissii avtomobilya i traktora [Car and tractor transmission dynamics]. Minsk, Nauka i tekhnika Publ., 1986. 214 p. (in Russ.).
  33. Algin V.B., Goman A.M., Shportko V.V., Logvinets T.S. Metodika rascheta chastot i form sobstvennykh kolebaniy mekhanicheskikh sistem proizvolnoy struktury so mnozhestvom vozmozhnykh sostoyaniy [Calculation methodology of the natural frequencies and modes of mechanical systems of an arbitrary structure with a plurality of possible states]. Mechanics of machines, mechanisms and materials, 2018, no. 4(45), pp. 36–43 (in Russ.).
  34. Verzhbitskiy V.M. Vychislitelnaya lineynaya algebra [Computational linear algebra]. Moscow, Vysshaya shkola Publ., 2009. 351 p. (in Russ.).