Analytical model of garlic clove with central rod
DOI:
https://doi.org/10.31734/agroengineering2021.25.036Abstract
The article presents the results of scientific research and comparative analysis of the analytical models of different forms of garlic cloves, as a basis for creating adaptive working bodies for their capture and forced-oriented insertion into the soil. The theoretical research was carried out and a model of a garlic clove, formed on the central stem of a garlic head was proposed. It is considered in the Cartesian coordinate system as a part of a sphere of corresponding radius, the volume of which is limited by two meridional planes and is perpendicular to the other two, taking into account the diameter of the Central rod of the garlic head, on which the cloves are formed, and which is considered as a cylinder of a certain radius and height.
The analytical dependences are obtained to find the mass of a garlic clove formed on the central rod of the garlic head, taking into account the homogeneity of bodies of equal density separately for the central rod and the tooth, the center of gravity of which lies in the plane of symmetry bisecting the tooth.
The calculation scheme is given and analytical dependences are obtained to determine the coordinates of the center of gravity of the garlic clove using the method of positive and negative areas, taking into account the coordinates of the centers of gravity of the circular sectors of the clove and the central cylindrical rod in their arbitrary cross section. followed by a tabular display of the obtained values.
Some results of theoretical researches on definition of the size-mass indicators of the garlic cloves formed on a cylindrical core are obtained and their analysis is carried out. It is established that the calculated values of the volume and, consequently, the mass of cloves increase by increasing not only their size but also the shape, which generally depends on the variety and index of the garlic head.
It is theoretically proven that the maximum values of volume and mass are inherent in the cloves with the highest height, and the minimum, on the contrary - with the lowest height. The value of the coordinates of the garlic clove gravity center depends on its size and shape, and the impact of each of the studied parameters is difficult to assess separately.
References
Bevz, H. P., Boholiubov, O. M., Filchakov, P. F., Shvetsov, K. I., & Yaremchuk, F. P. (1976). Dovidnyk z elementarnoi matematyky. Kyiv: Nauk. dumka. [in Ukrainian].
Bulhakov, V. M., Hrynyk, I. V., Kaletnik, I. M., Adamchuk, V. V., Tyshchenko, L. M., Chernysh, O. M., & Yaremenko, V. V. (2014). Teoretychna mekhanika: рidruchnyk. Kyiv: Ahrar. nauka. [in Ukrainian].
Emelianov P. A., & Ibrahymov N. M. (2007). Vvedenye v teoryiu oryentyrovanyia tel tekhnicheskimi sredstvami v selskokhoziaistvennyikh tekhnolohycheskikh protsesakh. Penza: RYO PHSKhA. [in Russian].
Kaleniuk, P. I., Bakalets, V. A., Bakalets, I. I., Horbachova, N. V., & Sokhan, P. L. (2000). Vstup do chyslovykh metodiv: navch. posib. dlia vyshch. zakl. osvity. Lviv: Derzh. un-t "Lviv. politekhnika". [in Ukrainian].
Kukharev O. N., & Lariushyn N. P. (2004). Yssledovanye tsepochno-lozhechnoho vуsazhivaiushcheho apparata s oryentiruiushchym ustroistvom dlia luka-matky. Tekhnika v selskom khoziaistve, 2, 21–23. [in Russian].
Kuzenko D. V., Semen O. Ya., Hoshko Z. O., & Semen Ya. V. (2018). Doslidzhennia rozmirno-masovykh pokaznykiv zubkiv chasnyku. Zbirnyk naukovykh statei Lutskoho natsionalnoho tekhnichnoho universytetu: silskohospodarski mashyny, 39, 86–93. [in Ukrainian].
Kuzenko, D. V., & Semen, O. Ya. (2017). Mashyna dlia sadinnia zubkiv chasnyku. Visnyk Lvivskoho natsionalnoho ahrarnoho universytetu: ahroinzhenerni doslidzhennia, 21, 114–118. [in Ukrainian].
Lykhatskyi, V. Y. (1990). Chesnok. Byolohyia y tekhnolohyia vyirashchyvanyia: prakt. posobye. Kyev: USKhA. [in Russian].
Samarskiy, A. A., & Gulin, A. V. (1989). Chislennyie metodyi. Moskva: Nauka. [in Russian].
Semen, O. Ia., Kuzenko, D. V., & Semen, Ya. V. (2018). Analitychna model zubka chasnyku. Zbirnyk naukovykh prats Kirovohradskoho natsionalnoho tekhnichnoho universytetu: tekhnika v silskohospodarskomu vyrobnytstvi, haluzeve mashynobuduvannia, avtomatyzatsiia, 31, 40–46. [in Ukrainian].
Semen, O. Ya. (2016). Analiz konstruktsii mashyn dlia sadinnia chasnyku. Teoriia i praktyka rozvytku ahropromyslovoho kompleksu ta silskykh terytorii: materialy KhVII Mizhnar. nauk-prakt. forumu. (Lviv, 14-16 veres. 2016 r.) (pp. 254–261). Lviv. [in Ukrainian].
Semen, O. Ya. (2018). Obgruntuvannia sposobu sadinnia chasnyku mashynoiu z lantsiuhovo-plunzhernym sadylnym aparatom. Perspektyvy i tendentsii rozvytku konstruktsii ta tekhnichnoho servisu silskohospodarskykh mashyn i znariad: мaterialy IV Vseukr. nauk.-prakt. konf. (Zhytomyr, 28-29 berez. 2018 r.) (pp. 27–29). Zhytomyr. [in Ukrainian].
Semen, O. Ya., Semen, Ya. V., Tysovskyi, T. І., & Yavoriv, A. І. (2019). Vylka lantsiuhovo-plunzhernoho sadylnoho aparata. Рat. 137149 Ukraina: MPK A01C 7/16. No. u 2019 02423; zaiavl. 12.03.19; opubl. 10.10.19, Biul. No. 19. [in Ukrainian].
Semen, O. Ya., Semen, Ya. V., Yavoriv, A. І., & Tysovskyi, T. І. (2019). Sposib mekhanizovanoho poshtuchnoho sadinnia chasnyku. Рat. 138615 Ukraina: MPK A01C 7/18. No. u 2019 04349; zaiavl. 22.04.19; opubl. 10.12.19, Biul. No. 23. [in Ukrainian].
Semen, Ya. V., & Semen, O. Ya. (2019). Robochyi orhan dlia poshtuchnoho oriientovanoho sadinnia zubkiv chasnyku. Vcheni Lvivskoho natsionalnoho ahrarnoho universytetu vyrobnytstvu: kataloh innovatsiinykh rozrobok, 19, 57. [in Ukrainian].
Semen, Ya. V., Krupych, O. M., Semen, O. Ia., Levko, S. I., Krupych, S. O., Kudrynetskyi, R. B., & Dnes, V. I. (2020). Vylka sadulnoho aparata. Рat. 147082 Ukraina: MPK A01С 7/16. No. y 202007640; zaiavl. 30.11.20; opubl. 07.04.21, Biul. No. 14. [in Ukrainian].
Snitynskyi, V. V., Lishchak, L. P., Kovalchuk, N. I., & Lishchak, I. O. (2010). Chasnyk na fermerskomu poli ta prysadybnii diliantsi. Lviv: Ukrainskyi bestseler. [in Ukrainian].
