Mathematical modeling and creation of algorithms for analyzing the ranges of the amplitude-frequency response of a vibrating rotary crusher in the software Mathcad

• Autorzy: Honcharuk Inna , Kupchuk Ihor , Yaropud Vitalii , Kravets Ruslan , Burlaka Serhiy , Hraniak Valerii , Poberezhets Julia , Rutkevych Volodymyr

Identyfikatory

DOI

10.15199/48.2022.09.03

Warianty tytułu

PL

Modelowanie matematyczne i tworzenie algorytmów analizy zakresów odpowiedzi amplitudowo-częstotliwościowej wibracyjnej kruszarki obrotowej w programie Mathcad

• Języki publikacji: EN

Abstrakty

EN

The article is devoted to the study of motion laws for rotary vibration crusher. Kinematic and dynamic analysis was performed. Differential equations of rotor motion are solved and analyzed, frequency response and energy consumption graphs in MathCad 15.0 software environment are presented. Verification of the mathematical model was carried out by comparing the results of experimental research with theoretical research. It was proved that the proposed mathematical models are adequate (discrepancy are 7.2 to 12.1%).

PL

Artykuł poświęcony jest badaniu praw ruchu obrotowego kruszarki wibracyjnej. Przeprowadzono analizę kinematyczną i dynamiczną. Równania różniczkowe ruchu wirnika są rozwiązywane i analizowane, prezentowane są wykresy odpowiedzi częstotliwościowej i zużycia energii w środowisku oprogramowania MathCad 15.0. Weryfikację modelu matematycznego przeprowadzono poprzez porównanie wyników badań eksperymentalnych z badaniami teoretycznymi. Wykazano, że zaproponowane modele matematyczne są adekwatne (rozbieżność wynosi od 7,2 do 12,1%).

Słowa kluczowe

EN

lagrange's equations II kind's; differential equation; parameters of oscillation; analytical mechanics; vibrating machine

PL

równanie różnicowe; odpowiedź częstotliwościowa; kruszarka wibracyjna

• Wydawca: Wydawnictwo SIGMA-NOT
• Czasopismo: Przegląd Elektrotechniczny
• Rocznik: 2022
• Tom: R. 98, nr 9
• Strony: 14--20
• Opis fizyczny: Bibliogr. 29 poz., rys., tab.

Twórcy

autor

Honcharuk Inna

• Vinnytsia National Agrarian University (21008, 3 Sonyachna str., Vinnytsia, Ukraine

• https://orcid.org/0000-0002-1599-5720

autor

Kupchuk Ihor

• Vinnytsia National Agrarian University (21008, 3 Sonyachna str., Vinnytsia, Ukraine

• https://orcid.org/0000-0002-2973-6914

autor

Yaropud Vitalii

• Vinnytsia National Agrarian University (21008, 3 Sonyachna str., Vinnytsia, Ukraine

• https://orcid.org/0000-0003-0502-1356

autor

Kravets Ruslan

• Vinnytsia National Agrarian University (21008, 3 Sonyachna str., Vinnytsia, Ukraine

• https://orcid.org/0000-0002-7459-8645

autor

Burlaka Serhiy

• Vinnytsia National Agrarian University (21008, 3 Sonyachna str., Vinnytsia, Ukraine

• https://orcid.org/0000-0002-[phone]

autor

Hraniak Valerii

• Vinnytsia National Agrarian University (21008, 3 Sonyachna str., Vinnytsia, Ukraine

• https://orcid.org/0000-0001-6604-6157

autor

Poberezhets Julia

• Vinnytsia National Agrarian University (21008, 3 Sonyachna str., Vinnytsia, Ukraine

• https://orcid.org/0000-0002-1727-6105

autor

Rutkevych Volodymyr

• Vinnytsia National Agrarian University (21008, 3 Sonyachna str., Vinnytsia, Ukraine

• https://orcid.org/0000-0002-6366-7772

Bibliografia

• [1]. Poberezhets Ju., Chudak R., Kupchuk I., Yaropud V., Rutkevych V. Effect of probiotic supplement on nutrient digestibility and production traits on broiler chicken, Agraarteadus. 32 (2021), nr 2, 296-302. https://doi.org/10.15159/jas.21.28.
• [2]. Yaropud V., Hunko I., Aliiev E., Kupchuk I. Justification of the mechatronic system for pigsty microclimate maintenance. Agraarteadus. 32 (2021), nr 2, 212–218. https://doi.org/ 10.15159/jas.21.21.
• [3]. Paziuk V., Vyshnevskiy V., Tokarchuk O., Kupchuk I. Substantiation of the energy efficient schedules of drying grain seeds. Bulletin of the Transilvania University of Braşov, Series II: Forestry, Wood Industry, Agricultural Food Engineering, 63 (2021), nr. 14, 137–146. https://doi.org/10.31926/but.fwiafe.2021.14.63.2.13.
• [4]. Kaletnik G., Honcharuk I., Okhota Y. The Waste-free production development for the energy autonomy formation of ukrainian agricultural enterprises, Journal of Environmental Management and Tourism, 11 (2020), nr 3, 513–522. https://doi.org/10.14505//jemt.v11.3(43).02.
• [5]. Bulgakov V., Pascuzzi S., Ivanovs S., Kaletnik G., Yanovych V., Angular oscillation model top redict the performance of a vibratory ball mill for the fine grinding of grain, Biosystems engineering, 171 (2018), 155–164. https://doi.org/10.1016/j.biosystemseng. 2018.04.021.
• [6]. Kupchuk I., Yaropud V., Hraniak V., Poberezhets Ju., Tokarchuk O., Hontar V., Didyk A. Multicriteria compromise optimization of feed grain grinding process. Przegląd Elektrotechniczny. 97 (2021), nr 11, 179-183. https://doi.org/10.15199/48.2021.11.33.
• [7]. Matvijchuk V., Shtuts A., Kolisnyk M., Kupchuk I., Derevenko I. Investigation of the tubular and cylindrical billets stamping by rolling process with the use of computer simulation. Periodica Polytechnica Mechanical Engineering, 66 (2022), nr 1, 51-58. https://doi.org/10.3311/PPme.18659.
• [8]. Honcharuk I., Kupchuk I., Solona O., Tokarchuk O., Telekalo N., Experimental research of oscillation parameters of vibrating-rotor crusher, Przeglad Elektrotechniczny, 97 (2021), 3. 97–100. https://doi.org/10.15199/48.2021.03.19.
• [9]. Solona O., Kovbasa V., Kupchuk I. Analytical study of soilstrain rate with a ploughshare for uncovering slit. Agraarteadus. 2020. Vol. 31, №2. P. 212–218. https://doi.org/10.15159/jas.20.22.
• [10]. Yanovych V., Polievoda Yu., Duda D., Development of a vibrocentric machine for raw glycerin purification, UPB Scientific Bulletin, Series D: Mechanical Engineering, 81 (2019), nr 4, 17–28.
• [11]. Tishchenko L., Kharchenko S., Kharchenko F., Bredykhin V., Tsurkan O., Identification of a mixture of grain particle velocity through the holes of the vibrating sieves grain separators. Eastern-European Journal of Enterprise Technologies, 80 (2016), nr 2(7), 63–69. https://doi.org/10.15587/1729-4061.2016.65920.
• [12]. Kovbasa V., Solona O., Deikun V., Kupchuk I. Functions derivation of stresses in the soil and resistance forces to themotion of a plough share for cavity creation. UPB Scientific Bulletin, Series D: Mechanical Engineering, 83 (2021), nr 3, 305–318.
• [13]. Yanovych V., Honcharuk T., Honcharuk I., Kovalova K., Engineering management of vibrating machines for targeted mechanical activation of premix components, Inmateh–Agricultural Engineering, 54 (2018), nr. 1, 25-32.
• [14]. Yanovych V., Honcharuk T., Honcharuk I., Kovalova K., Design of the system to control a vibratory machine for mixing loose materials, Eastern-European Journal of Enterprise Technologies, 6 (2017), 4–13. https://doi.org/10.15587/1729-4061.2017.117635.
• [15]. Bulgakov V., Kaletnik H., Goncharuk T., Rucins A., Dukulis I., Pascuzzi S. Research of the movement of agricultural aggregates using the methods of the movement stability theory, Agronomy Research, 17 (2019). nr 5, 1846-1860. https://doi.org/10.15159/ar.19.189.
• [16]. Hrushetskyi S., Yaropud V., Kupchuk I., Semenyshena R., The heap parts movement on the shareboard surface of the potato harvesting machine, Bulletin of the Transilvania University of Braşov. Series II: Forestry, Wood Industry, Agricultural Food Engineering, 14 (2021), nr 1. 127-140. https://doi.org/10.31926/but.fwiafe.2021. 14.63.1.12.
• [17]. Ruchynskyi M., Nazarenko M., Pereginets I., Kobylianskyi O., Kisała P., Abenov A, Amirgaliyeva Zh. Simulation and development of energy-efficient vibration machines operating inresonant modes. Przeglad Elektrotechniczny, 95 (2019), nr. 4, 60-64.
• [18]. Solona O., Kupchuk I., Dynamic synchronization of vibration exciters of the three-mass vibration mill, Przegląd Elektrotechniczny, 96 (2020), nr. 3, 163–167. https://doi.org/10.15199/48.2020.03.35.
• [19]. Yanovych V., Kupchuk I., Determination of rational operating parameters for a vibrating dysk-type grinder used in ethanol industry, Inmateh – Agricultural Engineering, 52 (2017), nr. 2, 143-148.
• [20]. Kupchuk I.M., Solona O.V., Derevenko I.A., Tverdokhlib I.V., Verification of the mathematical model of the energy consumption drive for vibrating disc crusher, Inmateh – Agricultural Engineering, 55 (2018), nr. 2, 111-118.
• [21]. Tverdokhlib, I.V., Spirin, A.V. Theoretical studies on the working capacity of disk devices for grinding agricultural cropseeds, INMATEH – Agricultural Engineering, 48 (2016), nr. 1, 43–52.
• [22]. Rutkevych V., Kupchuk I., Yaropud V., Hraniak V., Burlaka S. Numerical simulation of the liquid distribution problem by an adaptive flow distributor. Przegląd Elektrotechniczny, 98 (2022), nr 2, 64-69. https://doi.org/10.15199/48.2022.02.13.
• [23]. Lanets O., Derevenko I., Borovets V., Kovtonyuk M., Komada P., Mussabekov K., Yeraliyeva B. Substantiation of consolidated inertial parameters of vibrating bunker feeder, Przeglad Elektrotechniczny, 95 (2019), nr. 4, 47-52.
• [24]. Yanovych V., Tsurkan O., Polevoda Yu, Development of the vibrocentric machine for the production of a basic mixture of homeopathic preparations, UPB Scientific Bulletin, Series D: Mechanical Engineering, 81 (2019), nr. 2, 13-26.
• [25]. Bulgakov V., Kaletnik H., Goncharuk I., Ivanovs S., Usenko M. Results of experimental investigations of a flexible active harrow with loosening teeth, Agronomy Research, 17 (2019). nr 5, 1839-1845. https://doi.org/10.15159/ar.19.185.
• [26]. Hraniak V., Kukharchuk V., Bogachuk V., Vedmitskyi Y. Phase noncontact method and procedure for measurement of axial displacement of electric machine's rotor. Proc. SPIE 10808, Photonics Applications in Astronomy, Communications, Industry, and High-Energy Physics Experiments, (2018), 7. https://doi.org/10.1117/12.2501611
• [27]. Borysiuk D., Spirin A., Kupchuk I., Tverdokhlib I., Zelinskyi V., Smyrnov Ye., Ognevyy V. The methodology of determining the place of installation of accelerometers during vibrodiagnostic of controlled axes of wheeled tractors, Przegląd Elektrotechniczny, 97 (2021), nr 10, 44-48. https://doi.org/10.15199/48.2021.10.09.
• [28]. Kukharchuk V., Katsyv S., Hraniak V. Analysis of dependency between current harmonics coefficient and load, as well as filter parameters for asymmetrical network modes, Przeglad Elektrotechniczny, 96 (2020), nr. 9, 103-107. https://doi.org/10.15199/48.2020.09.22.
• [29]. Adamchuk V., Bulgakov V., Ivanovs S., Holovach I., Ihnatiev Ye., Theoretical study of pneumatic separation of grain mixtures in vortex flow, Engineering for Rural Development,Jelgava, May 2021, 657-664. https://doi.org/10.22616/ERDev.2021.20.TF139.

Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).