Mathematical model of the functioning оf the screw transporter-crusher
DOI:
https://doi.org/10.31548/dopovidi2018.02.024Abstract
Development of high-efficiency technological processes of the simultaneous grinding and motion, both of single cobbed and friable products of agro production requires an integrated scientific approach to the technical task of increasing the technological indices of performance and expansion of technological possibilities of the screw conveyers-shedders solution.
The tasks are solved on the basis of the methodology and techniques development for substantiation of technological process and calculation of technological indices and structurally-kinematics parameters and modes of screw conveyers operations.
The increase in productivity of screw mechanisms and technological lines of any productive processing complexes on the whole, including machines for processing the agrarian products, significantly depends on the carrying capacity of loading bunkers that function not only as operative parts for moving the product, but also as those that are used as batching devices. They are completed by the systems of the automated management and differentiated regulation of the second serve of the products being processed in an enough wide range and their even distribution over the areas of the bunker’s tape-hole.
A research aim is the expansion of technological possibilities of screw conveyers due to the simultaneous grinding and motion of root crops by development and substantiation of screw conveyer-shedder’s operative parts.
For realization of an offered improved technological process of the simultaneous grinding and motion of the root crops a structural chart of the screw conveyer-shedder has been developed.
The root crops are being placed into a loading bunker 1, that further are moved to a directing pipe 2 of the screw conveyer 3, or to a lamellar grinding knives 8. During the rotation of a power shaft 4 and, accordingly, a drum 5 and lamellar grinding knives the simultaneous grinding of the root crops and motion of the ground up particles by spiral coils 7 aside the unloading part 8 of directing pipe take place.
For development of mathematical model of shedder’s loading bunker 3 functioning the research object is formalized as follows: the basic (overhead) part of the bunker, or loading mouth 1 has a form of the truncated rectangular pyramid; underbody, or initial mouth 2 has a form of rectangular parallelepiped; the root crops during the motion of the bunker in the space mainly occupy the position which is close to a horizontal one – the longitudinal axis of the root crop’s body is parallel, or close to a horizon.
For the further analysis the existent imaginary technological streams are expressed through the real product, or corresponding quantitative mass stream of the root crops.
Dependence between a fluid supply (by the remaining supply of the root crops in the intermediate stage of the productive cycle) and resulting mass of the outcrop of the material supply change is obtained according to the equation by its integration.
The obtained dependence is a mathematical model that is written in a general integral view and that characterizes the process the screw conveyer-shedder’s loading bunker functioning in a relative time , or change between the fluid remaining supply of the root crops and resulting mass of the outcrop of the material supply change depending on the quantitative measuring-mass factious composition of the root crops.
References
Rohatynskyi R., Hevko I. (2012). Model konstruiuvannia i vyboru hvyntovykh konveieriv z rozshyrenymy tekhnolohichnymy mozhlyvostiamy [Model of design and selection of screw conveyors with advanced technological capabilities]. Visnyk TNTU, 3 (67), 197–210.
Hevko Iv.B. (2013). Naukovo-prykladni osnovy stvorennia hvyntovykh transportno-tekhnolohichnykh mekhanizmiv [Scientific and Applied Fundamentals for the Creation of Screw Transport and Technological Mechanisms]: avtoreferat dys.…dokt. tekhn. nauk: 05.05.11. Lviv, 40.
Hevko R.B., Dzyura V.O., Romanovsky R.M. (2014). Mathematical model of the pneumatic-screw conveyor screw mechanism operation. INMATEH. Agricultural engineering, 44, 3, 103–110.
Hevko I. B. (2008). Hvyntovi transportno-tekhnolohichni mekhanizmy: rozrakhunok i konstruiuvannia [Screw transport and technological mechanisms: calculation and construction]. Ternopil : TDTU imeni Ivana Puliuia, 307.
Pankiv V.R., Tokarchuk O.A. (2017). Investigation of constructive geometrical and filling coefficients of combined grinding screw conveyor. INMATEH. Agricultural engineering, 51, 1/2017, 59–68.
Belianchykov M.M., Smyrnov A.I. (1980). Mekhanizatsiia tvarynnytstva [Mechanization of livestock]. K. : Vyshcha shk., 1980, 375.
Kaletnik H.M., Kulyk M.F., Petrychenko V.F., Khorishka V.D. Osnovy perspektyvnykh tekhnolohii vyrobnytstva produktsii tvarynnytstva [Basis of advanced technologies of livestock production] ; pid red. H.M. Kaletnika, M.F. Kulyka. V.F. Petrychenka. Vinnytsia : Enozis, 2007, 584.
Hevko I., Liubachivskyi R., Diachun A. (212). Syntez zmishuvachiv z hvyntovymy robochymy orhanamy [Synthesis of faucets with screw working organs]. Visnyk Lvivskoho natsionalnoho ahrarnoho universytetu: ahroinzhenerni doslidzhennia, 16, 237–246.
Hevko R.B., Klendiy O.M. (2014). The investigation of the process of a screw conveyer safety device actuation. INMATEH. Agricultural engineering, 42, 1, 55–60.
Pankiv Vitalii (2017). Throughput capability of the combined screw chopper conveyor. Вісник ТНТУ, 1 (85), 69–79.
Rohatynskyi R., Hevko I., Rohatynska L. (2013). Optymizatsiia parametriv hvyntovykh transportno-tekhnolohichnykh system [Optimization of the parameters of screw transport and technological systems]. Visnyk TNTU, 1 (69), 123–230.
Pankiv V.R., Tokarchuk O.A. (2017) Іnvestigation of constructive geometrical and filling coefficients of combined grinding screw conveyor. INMATEH–Agricultural engineering. National Institute of research development for machines and installations designed to Agriculture and food industry, Inma Bucharest, 2017, 51, 1/2017, 59–68.
Hiachev P.V. (1992). Osnovы teoryy bunkerov [Bases of the theory of bunkers]. Novosybyrsk: Yzd-vo Novosybyrskoho unyversyteta, 1992, 309.
Skudyna A.A., Bohomiahkykh V.A. O shchelevom bunkere maksymalnoho raskhoda zernovoho materyala [About the slotted hopper for maximum consumption of grain material] : [Elektronnыi resurc]. Ynternet-zhurnal «NAUKOVEDENYE», 2015, 7, 5. URL : http://naukovedenie.ru
Downloads
Published
Issue
Section
License
Relationship between right holders and users shall be governed by the terms of the license Creative Commons Attribution – non-commercial – Distribution On Same Conditions 4.0 international (CC BY-NC-SA 4.0):https://creativecommons.org/licenses/by-nc-sa/4.0/deed.uk
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgement of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgement of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
