Optimization the start-up mode of bucket elevator by criterion of mean rate of change efforts in traction body during clash on drive drum
Abstract
Abstract. The oscillations of the structural elements, the drive mechanism and the traction body are minimized by optimizing the movement modes of the grain elevator during transient processes, which made it possible to increase its efficiency. Based on the chosen dynamic model, a mathematical model was created using the d'Alamber’s principle. The optimization process of the start-up mode of the bucket elevator was considered by the criterion of mean rate of change efforts in the traction body during clash on the drive drum. Found laws of motion for working branch, the tensioning drum and the drive drum which correspond to the optimal mode of movement of the bucket elevator. Based on the discovered laws of motion were built kinematical characteristics of the main parts of the elevator which are presented in the form of graphical dependencies for the optimal motion mode. The graphical dependencies of the effort changes in the traction body during clash on the drive drum and shrinkage from the tensioning drum also received. Based on the graphical dependencies established that during start-up bucket elevator at the optimal mode of motion there are small oscillating processes that are the smallest just in the optimization by the criterion of mean rate of change efforts in the traction body during clash on the drive drum.
Key words: bucket elevator, dynamic model, mathematical model, motion mode, dynamic load, effort, oscillation.
References
Loveikin V. S., Tkachuk L. B. Analysis of the Movement of the Bucket Elevator with the Dynamic Mechanical Characteristic of the Engine. Scientific Journal of National University of Life and Environmental Sciences of Ukraine. Series: Equipment and Energy in Agriculture. 2016. 254. P. 397–407.
Khorolskyij I. M. Dynamics of Chain Systems and Closed Circuits Continuous Transport Vehicles. Publisher State University "Lviv Polytechnic". 1999. 194 p.
Loveikin V. S., Romasevych Ju. O. Optimizing Traffic Tontrol One Mass Mechanical Systems. MOTROL. 2010. 12V. P. 91–96.
Spivakovskij A. O., Dmitriev V. G. The Theory of Belt Conveyors. Moscow. 1982. 192 p.
Smehov A. A., Erofeev N. I. Optimal Control of Handling Machinery. Moscow: Engineering, 1975. 239 p.
Turchin V. S. Substantiation of Constructive-Regime Parametres of Bucket Elevators for Transporting Bulk Materials. Orenburg, 2005. 187 p.
Kondrahin V. P., Borisenko V. F., Melnik A. A. Simulation Starting Modes Scraper Conveyor Type KSD. Scientific papers of Donetsk National Technical University. Series: Mining and electromechanical, 13. Doneck: DonNTU, 2008. P. 132–140.
Loveikin V. S., Bortun V. A. Dynamics Motion Mode Vertical Bucket Elevator with a Downloaded Branch. Handling Machinery, 2011. 1(37). P. 67–78.
Bellman R. Dynamic programming. Foreign Literature Publishing House. Moscow, 1960. 400 p.
Pontrjagin L. S., Boltnjanskij V. G., Gamkrelidze R. V., Mishhenko E. F. The Mathematical Theory of Optimal Processes. Moscow, 1961. 392 p.
Petrov Ju. P. Variational Methods of Optimal Control Theory. Lviv: Energy, 1977. 280 p.
Elsgolc L. E. Differential Equations and Calculus of Variations. Moscow: Science, 1969. 424 p.
Lovejkin V. S. Calculating the Optimum Modes of Movement of Construction Vehicles Mechanisms. Kyiv: UMK VO, 1990. 168 p.
Loveikin V. S., Nesterov A. P. Dynamic Optimization Winders. Kharkov: KhNADU, 2002. 291 p.
Bondarev V. S., Dubinec A. I., Kolesnik M. P. Handling Machinery. Calculations of Lifting and Handling Machines. Kiev: High school, 2009. 729 p.
L. Vygovskij. Introduction to Wolfram Mathematica Available at: http:www.exponenta.ru/educat/ vygovskiy/vygovskiy.asp.
Loveikin V. S., Yavorska (Hudova) A. Ju. Multimass Model of the Movement Fodder Screw Type Variable Resistance. MOTROL: International Journal on Operation of Farm and Agri-Food Industry Machinery, 2011. 13V (3), P. 124–129.
Loveikin V. S., Kostyna O. Ju. The Study Dynamics Starting Scraper Conveyor with Variable Load During Start-up. MOTROL: International Journal on Operation of Farm and Agri-Food Industry Machinery, 2011. 13V (3). P. 42–48.
Loveykin V. S., Kostyna (Tkachenko) O. Ju. Optimization of Start-up Mode of the Scraper Conveyor. Motrol: International Journal on Operation of Farm and Agri-Food Industry Machinery, 2012. 14 (3). P. 120–125.
Loveykin V. S., Javorska (Hudova) A. Ju. Screw Feeder: Optimization of Motion Modes Considering that the Moments of Resistance Forces Change Under Linear Law. Motrol: International Journal on Operation of Farm and Agri-Food Industry Machinery. 2012. 14(3). 40–46.
References
Loveikin, V. S., Tkachuk, L. B. (2016). Analysis of the Movement of the Bucket Elevator with the Dynamic Mechanical Characteristic of the Engine. Scientific Journal of National University of Life and Environmental Sciences of Ukraine. Series: Equipment and Energy in Agriculture. 254. 397-407.
Khorolskyij, I. M. (1999). Dynamics of Chain Systems and Closed Circuits Continuous Transport Vehicles. Publisher State University "Lviv Polytechnic". 194.
Loveikin, V. S., Romasevych, Ju. O. (2010). Optimizing Traffic Tontrol One Mass Mechanical Systems. MOTROL, 12V, 91-96.
Spivakovskij, A. O., Dmitriev, V. G. (1982). The Theory of Belt Conveyors. Moscow, 192.
Smehov, A. A., Erofeev, N. I. (1975). Optimal Control of Handling Machinery. Moscow: Engineering, 239.
Turchin, V. S. (2005). Substantiation of Constructive-Regime Parametres of Bucket Elevators for Transporting Bulk Materials. Orenburg, 187.
Kondrahin, V. P., Borisenko, V. F., Melnik, A. A. (2008). Simulation Starting Modes Scraper Conveyor Type KSD. Scientific papers of Donetsk National Technical University. Series: Mining and electromechanical, 13. Doneck: DonNTU, 132-140.
Loveikin, V. S., Bortun, V. A. (2011). Dynamics Motion Mode Vertical Bucket Elevator with a Downloaded Branch. Handling Machinery, 1(37), 67-78.
Bellman, R. (1960). Dynamic programming. Foreign Literature Publishing House. Moscow, 400.
Pontrjagin, L. S., Boltnjanskij, V. G., Gamkrelidze, R. V., Mishhenko, E. F. (1961). The Mathematical Theory of Optimal Processes. Moscow, 392.
Petrov, Ju. P. (1977). Variational Methods of Optimal Control Theory. Lviv: Energy, 280.
Elsgolc, L. E. (1969). Differential Equations and Calculus of Variations. Moscow: Science, 424.
Lovejkin, V. S. (1990). Calculating the Optimum Modes of Movement of Construction Vehicles Mechanisms. Kyiv: UMK VO, 168.
Loveikin, V. S., Nesterov, A. P. (2002). Dynamic Optimization Winders. Kharkov: KhNADU, 291.
Bondarev, V. S., Dubinec, A. I., Kolesnik, M. P. (2009). Handling Machinery. Calculations of Lifting and Handling Machines. Kiev: High school, 729.
L. Vygovskij. (2011). Introduction to Wolfram Mathematica Available at: http:www.exponenta.ru/educat/ vygovskiy/vygovskiy.asp.
Loveikin, V. S., Yavorska (Hudova), A. Ju. (2011). Multimass Model of the Movement Fodder Screw Type Variable Resistance. Motrol: International Journal on Operation of Farm and Agri-Food Industry Machinery, 13V (3), 124-129.
Loveikin, V. S., Kostyna, O. Ju. (2011). The Study Dynamics Starting Scraper Conveyor with Variable Load During Start-up. MOTROL: International Journal on Operation of Farm and Agri-Food Industry Machinery, 13V (3), 42-48.
Loveykin, V. S., Kostyna (Tkachenko), O. Ju. (2012). Optimization of Start-up Mode of the Scraper Conveyor. Motrol: International Journal on Operation of Farm and Agri-Food Industry Machinery, 14 (3), 120-125.
Loveykin, V. S., Javorska (Hudova), A. Ju. (2012). Screw Feeder: Optimization of Motion Modes Considering that the Moments of Resistance Forces Change Under Linear Law. Motrol: International Journal on Operation of Farm and Agri-Food Industry Machinery, 14(3), 40-46
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