Kiriya R.V., Larionov G.I., Larionov M.G. Mathematic model of the belt linear sector twisting in tubular conveyor

Details

Parent Category: Geo-Technical Mechanics, 2018

Category: Geo-Technical Mechanics, 2018, Issue 138

Geoteh. meh. 2018, 138, 218-226

DOI: https://doi.org/10.15407/geotm2018.01.218

Mathematic model of the belt linear sector twisting in tubular conveyor

Kiriya R.V., Larionov G.I., Larionov M.G.

Authors:

Kriya R.V., Cand. tech Sciences, Senior Researcher, Head of Department (IGTM NAS of Ukraine)

Larionov G.I, Dr. Tekhn. Sciences, Senior Researcher (IGTM NAS of Ukraine)

Larionov M.G, can. tech Sciences, Junior Researcher (IGTM NAS of Ukraine)

UDC 622.647.2

Language:Ukrainian

Abstract.

As practice shows, the key drawback of the tubular conveyors (TC) operating in the coal mines is that belt losses stability of its circular cross-sectional form causing spillage of the cargo, abnormal interaction with the roller carriages and, consequently, longitudinal cuts in the belt and impossibility of its further exploitation. Absence of any mathematical model of process of loosing by the belt stability of its cross-sectional form and complicate initial equations of elastic casings made it impossible to investigate the problem in a proper way. Computed methods used for calculation of the TC parameters cannot determine conditions, under which cross section of the belt looses its circular form, at least there is no published information. The main way to ensure stability of the belt cross-section is to apply existing experience in constructive decision to the design of conveyor lines and idlers. Therefore, creation of mathematical model of the stress-strain state of the TC belt in case of unsymmetrically distributed load in the crosswise direction continues to be a pressing scientific challenge.

The basic idea for creating a mathematical model of the stress-strain state is ground on usage of specifics of elastic casing loading for simplifying initial system of equations and obtaining their solutions and for studying and justifying parameters for the TC with taking into account physical and mechanical properties of the belt, which ensure stability of the belt cross-sectional form while it moves on the idlers. In order to solve this problem, twisting moments and twist rates were determined for the TC belt with circular cross section in case of unsymmetrically distributed load in the crosswise direction, as well as their impact on the value of twisting moment and angle of the twist was studied. In order to determine twisting moments and twist rates for the TC belt with circular cross section in case of unsymmetrically distributed load in the crosswise direction, an elastic cylindrical casing was studied, which had been formed in result of the belt rolling up before the closed circular cross section was formed.

Approach of S.P. Timoshenko to modelling of process of the TC belt cross-sectional twisting between the idlers allowed to simplify initial equations and to obtain analytical solution. The analytical solution, in its turn, allowed to model process of the belt twisting at irregular cross-sectional loading of the TC belt. The obtained results on the belt twisting are very important factor for choosing design parameters with the aim to escape loss of the belt stability when it moves on the TC idlers.

Keywords:

tubular beltconveyor, stress-strain state, general equations for elastic casing, simplification, analytical solution, twisting, stability loss.

References:

1. Chernenko, V.D. (1985), Teoriya i raschet krutonaklonnykh konveyerov [Theory and calculation of steeply inclined conveyors], Izdatelstvo Leningrad university, Leningrad, Russia.

2. Timoshenko, S.P. and Voynovskiy-Kriger, S. (1963), Plastiny i obolochki [Plates and shells], Fiz.-mat. literatura, Moscow, USSR.

3. Vlasov, V.Z. (1962), Obshchaya teoriya obolochek i eye prilozheniya v tekhnike [General theory of shells and its technique applications], Izdatelstvo Akademii nauk SSSR, Moscow, USSR.

4. Kiriya, R.V. and Larionov, M. G. (2016), “Mathematic modeling of linear belt item stress strain state tubular conveyor”, Geo‑Technical Mechanics, no. 131, pp. 158-164.

5. Sheshko, E.E. and Gushin, V.M. (1973), “Steeply inclined conveyor belt, which has form of deep troughs”, Razvitie i sovershenstvovanie shachtnogo i kariernogo transporta [Development and improvement of the mine and transport career], pp. 120-125.

About the authors

Kiriya Ruslan Vissarionovich, Candidate of Technical Sciences (Ph.D), Senior Researcher, Head of Department of Mining Transport Physics and Mechanics, Institute of Geotechnical Mechanics named by N. Polyakov of National Academy of Science of Ukraine (IGTM NASU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Larionov Grigoriy Ivanovich, Doctor of Technical Sciences (Ph.D), Senior Researcher in Department of Mining Transport Physics and Mechanics, Institute of Geotechnical Mechanics named by N. Polyakov of National Academy of Science of Ukraine (IGTM NASU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

Larionov Mykola Grigorovych, Candidate of Technical Sciences (Ph.D), Junior Researcher in Department of Mining Transport Physics and Mechanics, Institute of Geotechnical Mechanics named by N. Polyakov of National Academy of Science of Ukraine (IGTM NASU), Dnipro, Ukraine, This email address is being protected from spambots. You need JavaScript enabled to view it. .

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