KINETIC ENERGY OF THE SWINGING SEPARATOR DRIVEN BY A LINEAR ELECTRIC MOTOR
Keywords:
generalized coordinate, kinetic energy, linear asynchronous motor, mechanism, separator, swinging sieve
Abstract
The goal of the given study is to develop a gearless mechanism driven by a linear electric motor that can reproduce and adjust sieve oscillation modes of large amplitude (more than 0.01 m) and low frequency (less than 10-12 rad/s). The authors developed a test sample of a swinging separator driven by a linear electric motor and its kinematic scheme. There is a design scheme used to determine motion geometric and kinematic characteristics of the drive mechanism units as a function of the generalized coordinate hh – the stroke of a rotor relative to a stator in the linear electric motor dh/dt. The paper provides kinetic energy expressions that are convenient for further development of a mathematical model for the mechanism movement based on Lagrange equations of the second kind. Most mechanical and technical systems are studied with Lagrange equations being the scientific basis for the analysis and synthesis of a wide variety of machines and devices. This paper relies on the Lagrange equations to give a mathematical description of the sieves' movement in a grain cleaner. The paper presents kinetic energy expressions for the studied mechanism that are convenient for further development of a mathematical model of its motion based on Lagrange equations of the second kind. The results of the performed analytical studies can be used not only in the design of drive mechanisms for swinging sieves, but also in the design, upgrade and optimization of different industrial and agricultural machines driven by linear asynchronous motors.
References
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28. Samanuhut, P., Dogan, P. (2008). Dynamics Equations of Planetary Gear Sets for Shift Quality by Lagrange Method. Dynamic Systems and Control Conference, October 20–22, 2008, Ann Arbor, Michigan (USA), p. 353-360.
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31. Băţăuş, M., Maciac, A., Oprean, M., Vasiliu, N. (2011). Automotive clutch models for real time simulation. Proceedings of the Romanian academy. Series A, vol. 12, no. 2, 109-116.
32. Sarapulov, F., Sarapulov, S., Smolyanov, I. (2017). Research of thermal regimes of linear induction motor. 18th International Conference on Computational Problems of Electrical Engineering (CPEE), p. 1-4.
33. Algin, V.B. (2014). Dynamics of multi-mass systems of machines when changing states friction components and directions of power flows. Mechanics of machines, mechanisms and materials, vol. 4, 21-32.
34. Guran, I.J. (2008). Mathematics for International Economists. Knowledge, Kyiv.
35. Artobolevsky, I.I. (2011). Theory of mechanisms and machines. Publishing House Alliance, Moscow.
36. Erdman, A.G., Kota, S., Sandor, G.N. (2001). Mechanism Design: Analysis and Theory. Fourth Edition. Prentice Hall.
37. Mata, A., Torras, A., Garrillo, J., Juanco, F., Fernandez, A., Martinez, F. (2016). Fundamentals of Machine Theory and Mechanisms. Springer.
38. Gyriev, B.I., Kutusheva, L.S., Rusak, L.L. (2008). Theory of mechanisms and machine: Textbook, manual. Ufa State Aviation Technical University, Ufa.
39. Zagirnyak, M., Kalinov, A., Chumachova, A. (2013). Correction of operating condition of a variable-frequency electric drive with a non-linear and asymmetric induction motor. Collected papers: IEEE EuroCon 2013, p. 1033-1037.
40. Nahdi, T., Maga, D. (2018). Сomparative study of frequency converters for doubly fed induction machines. Sustainability, vol. 10, no. 3, 594.
41. Mustafa, G.M., Gusev, S.I., Kuzikov, S.V., Chernov, I.S. (2018). A combined frequency converter for soft acceleration of induction electric drives with heavy starting conditions. Russian Electrical Engineering, vol. 89, no. 4, 282-286.
42. Rinkevičienė, R., Smilgevičius, A. (2007). Linear Induction Motor at Present Time. Electronics and Electrical Engineering, vol. 6, no. 78, 3-8.
43. Huang, C.-I., Fu, L.-C. (2003). Passivity based control of the double inverted pendulum driven by a linear induction motor. Conference on Control Applications - Proceedings Proceedings of 2003 IEEE Conference on Control Applications, Istanbul, p. 797-802.
44. Cirrincione, M., Pucci, M., Vitale, G., Sferlazza, A. (2010). Neural based МRAS sensorless techniques for high performance linear induction motor drives. Collected papers: IECON Proceedings (Industrial Electronics Conference), p. 918-926.
45. Sakamoto, Y., Kashiwagi, T., Hasegawa, H., Sasakawa, T., Fujii, N. (2011). Design considerations and experimental verification of a rail brake armature based on linear induction motor technology. IEEJ Transactions on Industry Applications, vol. 131, no. 1, 127-134.
46. He, Yu., Wang, Y.Sh., Lu, Q., Zhang, L., Liang, F. (2018). Design of single-sided linear induction motor for low-speed maglev vehicle in 160 km/h and variable slip frequency control, Transport systems and technologies, vol. 4, no. 2, 120-128.
47. Tiunov, V.V. (2014). Electromagnetic fields, characteristics and practical structures of linear induction machines with a short operating body. Acta Technica CSAV (Ceskoslovensk Akademie Ved), vol. 59, no. 2, 115-134.
2. Bohnet, M. (2004). Mechanische Verfahrenstechnik. WILEY-VCH Vergal GmbH & Co. KgaA, Weinheim.
3. Galkin, V.D., Koshurnikov, A.F., Khavyev, A.A., Khandrikov, V.A., Grubov, K.A. (2014). The vibroseparators and their use in the seed cleaning lines: textbook for universities. Publishing Centre "Prokrost", Perm.
4. Noorlandt, R., Drijkoningen, G., Dams, J., Jenneskens, R. (2015). A seismic vertical vibrator driven by linear synchronous motors. Geophysics, vol. 80, no. 2, 57-67.
5. Fedorenko, I.Ya. (2016). Vibration processes and devices in agriculture. Monograph. Editorial and Publishing department of the Altay State Agrarian University, Barnaul.
6. Tarasenko, A.P. (2008). Modern machinery for post-harvest grain processing. "Kolos" Publ., Moscow.
7. Bohnet, M. (2004). Mechanische Verahrenstechnik. WILEY Vergal GmbH & Co. KgaA, Weinheim.
8. Thomas, C., Gupta, Ye. (2013). Energy saving opportunities in the oil production sector. ACEEE Summer Study on Energy Efficiency in Industry, vol. 1, 1-120.
9. Vanner, R. (2005). Energy use in offshore oil and gas production: trends and drivers from 1975 to 2025. Policy Studies Institute, London.
10. Schmidt, C. (2003). A benchmark for assessing the energy efficiency of artificial lifts. Oil & Gas Automation Solutions, vol. 6, 1-4.
11. Linenko, A.V., Gabitov, I.I., Baynazarov, V.G., Tuktarov, M.F., Aipov, R.S., Akchurin, S.V., Kamalov, T.I., Badretdinov, I.D., Leontiev, D.S., Vokhmin, V.S. (2019). The mechatronic module “linear electric drive – sieve boot” intelligent control system of grain cleaner. Journal of the Balkan Tribological Association, vol. 25, no. 3, 708-717.
12. Michalczyk, J., Cieplok, G. (2016). Maximal amplitudes of vibrations of the suspended screens, during the transient resonance. Archives of Mining Sciences, vol. 61, no. 3, 537-552.
13. Liu, X.-P., Zhang, Y.-L., Yang, D. (2014). Finite element analysis of 5XF150/180 type grain cleaning machine. International Conference on Mechanism Science and Control Engineering (MSCE), p. 112-118.
14. Khomenko, A.P., Kargapoltsev, S.K., Eliseev, A.V. (2018). Development of approaches to creation of active vibration control system in problems of the dynamics for granular media. International Conference on Engineering Vibration (ICoEV), Sofia, vol. 148, UNSP 11004.
15. Zorawski, D., Dzikowska, W., Peszynski, K. (2014). Modelling of the vibrating dryer drive system. 20th International Conference on Engineering Mechanics (EM), Svratka, Czech Republic, p. 748-751.
16. Iampilov, S.S., Tsibenkov, Zh.B. (2006). Technologies and technical means for grain cleaning using gravity forces. Publishing house of the East Siberian State University of Technologies and Management, Ulan-Ude.
17. Yarullin, R., Aipov, R., Gabitov, I., Linenko, A., Akchurin, S., Mudarisov, S., Khasanov, E., Rakhimov, Z., Masalimov, I. (2018). Adjustable driver of grain cleaning vibro-machine with vertical axis of eccentric masses rotation. Journal of Engineering and Applied Sciences, vol. 13, no. 88, 6398-6406.
18. Aipov, R.S., Yarullin, R.B., Gabitov, I.I., Mudarisov, S.G., Linenko, A.V., Farhshatov, M.N., Khasanov, E.R., Gabdrafikov, F.Z., Yukhin, G.P., Galiullin, R.R. (2018). Mechatronic system linear swing vibrating screen of a grain cleaner. Journal of Engineering and Applied Sciences, vol. 13, 6473-6477.
19. Kornev, A.S., Orobinskii, V.I., Sundeev, A.A. (2014). Higher efficiency of flat sieves operation in grain cleaners. Innovative Technologies and Technical Means for Agriculture, vol. 3, 84-89.
20. Aipov, R.S., Linenko, A.V. (2013). Linear electric machines and linear acynchronous electric drives of technological machines. Monograph. Bashkir State Agrarian University, Ufa.
21. Vulfson, I. (2015). Dynamics of cyclic machines. Series: Foundations of Engineering Mechanics, Vol. 19. Springer Verlag.
22. Aipov, R.S., Akchurin, S.V., Pugachev, V.V. (2018). Patent for an invention No. 2648755 RF “Vibration separator”, Published 28.03.2018.
23. Nafikov, M., Gabitov, I., Aipov, R. (2019). Kinematic parameters of the swinging separator driven by a linear electric motor. Journal of the Balkan Tribological Association, vol. 25, no. 3, 832-844.
24. Aipov, R.S., Linenko, A.V., Tuktarov, M.F., Bainazarov, V.G. (2017). Analysis of pulsed operating mode of linear induction drive of grain cleaning. Collected papers: Actual issues of Mechanical Engineering (AIME 2017) Processing, p. 420-424.
25. Butenin, N.V., Lunts, J.L., Merkin, D.R. (2002). The course of theoretical mechanics: in 2 volumes. Doe, St. Petersburg.
26. Kurc, K., Szybicki, D. (2016). Determination of the dynamic parameters of underwater robots with tracked drives. Applied Mechanics and Materials, vol. 817, 130-139.
27. Pan, C., Moskwa, J. (1995). Dynamic modeling and simulation of the Ford AOD automobile transmission. New Developments in Transmission and Driveline Design SAE, SP-1087, p. 153-162.
28. Samanuhut, P., Dogan, P. (2008). Dynamics Equations of Planetary Gear Sets for Shift Quality by Lagrange Method. Dynamic Systems and Control Conference, October 20–22, 2008, Ann Arbor, Michigan (USA), p. 353-360.
29. Yutao, L., Di, T. (2011). Dynamics modeling of planetary gear set considering meshing stiffness. Based on Bond Graph. Procedia Engineering, vol. 24, 850-855.
30. Gorbatenko, N. N. (2017). Mathematical modeling of the process of switching stages in the planetary gearbox of a car. Tomsk State University Journal, vol. 4, 5-16.
31. Băţăuş, M., Maciac, A., Oprean, M., Vasiliu, N. (2011). Automotive clutch models for real time simulation. Proceedings of the Romanian academy. Series A, vol. 12, no. 2, 109-116.
32. Sarapulov, F., Sarapulov, S., Smolyanov, I. (2017). Research of thermal regimes of linear induction motor. 18th International Conference on Computational Problems of Electrical Engineering (CPEE), p. 1-4.
33. Algin, V.B. (2014). Dynamics of multi-mass systems of machines when changing states friction components and directions of power flows. Mechanics of machines, mechanisms and materials, vol. 4, 21-32.
34. Guran, I.J. (2008). Mathematics for International Economists. Knowledge, Kyiv.
35. Artobolevsky, I.I. (2011). Theory of mechanisms and machines. Publishing House Alliance, Moscow.
36. Erdman, A.G., Kota, S., Sandor, G.N. (2001). Mechanism Design: Analysis and Theory. Fourth Edition. Prentice Hall.
37. Mata, A., Torras, A., Garrillo, J., Juanco, F., Fernandez, A., Martinez, F. (2016). Fundamentals of Machine Theory and Mechanisms. Springer.
38. Gyriev, B.I., Kutusheva, L.S., Rusak, L.L. (2008). Theory of mechanisms and machine: Textbook, manual. Ufa State Aviation Technical University, Ufa.
39. Zagirnyak, M., Kalinov, A., Chumachova, A. (2013). Correction of operating condition of a variable-frequency electric drive with a non-linear and asymmetric induction motor. Collected papers: IEEE EuroCon 2013, p. 1033-1037.
40. Nahdi, T., Maga, D. (2018). Сomparative study of frequency converters for doubly fed induction machines. Sustainability, vol. 10, no. 3, 594.
41. Mustafa, G.M., Gusev, S.I., Kuzikov, S.V., Chernov, I.S. (2018). A combined frequency converter for soft acceleration of induction electric drives with heavy starting conditions. Russian Electrical Engineering, vol. 89, no. 4, 282-286.
42. Rinkevičienė, R., Smilgevičius, A. (2007). Linear Induction Motor at Present Time. Electronics and Electrical Engineering, vol. 6, no. 78, 3-8.
43. Huang, C.-I., Fu, L.-C. (2003). Passivity based control of the double inverted pendulum driven by a linear induction motor. Conference on Control Applications - Proceedings Proceedings of 2003 IEEE Conference on Control Applications, Istanbul, p. 797-802.
44. Cirrincione, M., Pucci, M., Vitale, G., Sferlazza, A. (2010). Neural based МRAS sensorless techniques for high performance linear induction motor drives. Collected papers: IECON Proceedings (Industrial Electronics Conference), p. 918-926.
45. Sakamoto, Y., Kashiwagi, T., Hasegawa, H., Sasakawa, T., Fujii, N. (2011). Design considerations and experimental verification of a rail brake armature based on linear induction motor technology. IEEJ Transactions on Industry Applications, vol. 131, no. 1, 127-134.
46. He, Yu., Wang, Y.Sh., Lu, Q., Zhang, L., Liang, F. (2018). Design of single-sided linear induction motor for low-speed maglev vehicle in 160 km/h and variable slip frequency control, Transport systems and technologies, vol. 4, no. 2, 120-128.
47. Tiunov, V.V. (2014). Electromagnetic fields, characteristics and practical structures of linear induction machines with a short operating body. Acta Technica CSAV (Ceskoslovensk Akademie Ved), vol. 59, no. 2, 115-134.
