Limit angle of the belt conveyor inclination at transporting lumpy loads

One of the ways to reduce capital costs and shorten length of conveyor transport routes is to increase angle of the conveyor inclination. As practice shows, limit inclination angle of general-purpose belt conveyors transporting bulk loads is 18°- 22°, while angle of natural slope of ore and coal is 40° and 35°, respectively. Such a difference between the angles of bulk load slope and limit inclination angle of the belt conveyor transporting the bulk loads is explained by the belt vibration impacting on the state of the transported load during its moving along the belt conveyor idlers. When exposed to vibrations, the solid-yielding state of the granular medium passes into a free-dispersed state at which inertial forces of the particles exceed the forces of internal coulomb friction between the particles. Moreover, as experimental studies have shown, granular medium moves relative to the conveyor belt at anglesof conveyor inclination of 18°–22°, i.e. limit angle of inclination of the conveyor belt transporting bulk load does not exceed 18°–22°. Today, limit angle of inclination of the conveyor belt transporting bulk loads is not studied well. In this research, the authors tried to determine limit angle of inclination of the conveyor belt transporting bulk loads by considering different types of the idlers: with rigid line, damping idlers and suspension idler with rope line. Limit angle of the conveyor belt inclination was determined on the basis of the change in momentum theorem applied to the lump during its moving over the idler and with the assumption that a lump, while passing over the idler, began sliding along the conveyor belt. As a result, analytical dependences of limit angle of the conveyor belt inclination on the conveyor parameters (belt tension and speed), parameters of idlers (distance between them), length of the bulk load and coefficient of friction of the lump against the conveyor belt were obtained. The studies of the obtained dependences showed that belt conveyors with damping idlers featured the widest limit angle of inclination, and inclination angel of the belt conveyors with suspension idlers had the least value. In addition, it was found that with increase of the conveyor belt speed and weight of the transported lumps limit angle of the conveyor inclination decreased and increased with increase of the belt tension. Further, critical speed of the conveyor belt was determined at which piece of load began sliding along the conveyor belt at any angle of the conveyor inclination.

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THE INFLUENCE OF STATIC FRICTION ON THE SPEED AND INCLINATION ANGLE OF A BELT CONVEYOR

Tribologia ◽

10.5604/01.3001.0014.6953 ◽

2021 ◽

Vol 293 (5) ◽

pp. 9-16

Author(s):

Daniel Adamecki

Keyword(s):

Inclination Angle ◽

Experimental Studies ◽

Static Friction ◽

Conveyor Belt ◽

Operational Reliability ◽

Hard Coal ◽

Belt Conveyor ◽

Mean Values ◽

Three Samples ◽

Belt Conveyors

The article describes experimental studies of effective belt tension between the mined hard coal and a rubber conveyor belt. Effective belt tension has a critical impact on the safety and operational reliability of belt conveyors transporting excavated material after ascending or descending. Three samples of flame-retardant conveyor belts from three manufacturers and raw power coal material were used in the tests. In order to determine the significance of the influence of variable parameters on the values of static friction coefficients, the hypothesis on the equality of mean values of the studied variable in three populations was verified by means of the analysis of variance. On the basis of the obtained results, the maximum belt speed was determined as a function of the permissible inclination angle of the belt conveyor.

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Determination of the limiting angle of inclination of tubular belt conveyor

E3S Web of Conferences ◽

10.1051/e3sconf/202016800047 ◽

2020 ◽

Vol 168 ◽

pp. 00047

Author(s):

Ruslan Kiriia ◽

Andrii Smirnov ◽

Tetiana Zhyhula ◽

Todor Zhelyazov

Keyword(s):

Internal Friction ◽

Equilibrium State ◽

Bulk Material ◽

Conveyor Belt ◽

Belt Conveyor ◽

Angle Of Internal Friction ◽

Angle Of Friction ◽

Bulk Load ◽

Belt Conveyors

Currently, the widespread use of tubular belt conveyors is constrained by insufficient justification of the conveyor parameters. In the work, on the basis of the theory of the limiting equilibrium state of bulk load, equations of equilibrium of load on the belt of an inclined tubular conveyor are obtained. It is assumed that the belt was a rigid cylinder filled with bulk material in extreme equilibrium. Based on the obtained equilibrium equation, the analytical dependences of the limiting angle of inclination of the belt conveyor with a tubular belt on the degree of unfilling with the bulk load of the belt and the properties of the bulk load are found. From the analysis of these dependencies it follows that the limiting angle of inclination of the tubular belt conveyor depends on the angle of internal friction of the transported load, the angle of friction of the load on the conveyor belt, the angle of unfilling of the belt with load and does not depend on the radius of the conveyor belt.

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Determination of the maximum allowable distance between the roller conveyors of a tubular belt conveyor

E3S Web of Conferences ◽

10.1051/e3sconf/201910900035 ◽

2019 ◽

Vol 109 ◽

pp. 00035

Author(s):

Ruslan Kiriia ◽

Tamara Mishchenko

Keyword(s):

Mathematical Model ◽

Order Differential Equation ◽

Limit State ◽

Conveyor Belt ◽

Belt Conveyor ◽

Equilibrium Equations ◽

Bulk Weight ◽

Bulk Load ◽

Belt Conveyors

The article developed a mathematical model of the stress-strain state of a tubular conveyor belt filled with bulk load. In this case, the belt is considered as a thin elastic inextensible cylindrical shell, and the bulk load in the belt is in the limit state. A system of differential equilibrium equations for a tubular belt with a bulk load with respect to forces and bending moments in a belt was obtained, which, when simplified, was reduced to a fourth-order differential equation for belt deflections. Based on this mathematical model, analytical dependencies of the deflections of the tubular conveyor belt on the parameters of the conveyor, the radius and properties of the belt, as well as the properties of the bulk load are obtained and analyzed. As a result, the maximum allowable distance between the roller supports of the tubular conveyor is determined. It was found that the allowable distance between the roller bearings is directly proportional to the tension of the belt and inversely proportional to the square of the radius of the belt and the bulk weight of the load. The research results can be used in the design of tubular belt conveyors transporting bulk load.

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Experimental tests of the impact of selected parameters on the indentation rolling resistances

E3S Web of Conferences ◽

10.1051/e3sconf/20182900002 ◽

2018 ◽

Vol 29 ◽

pp. 00002 ◽

Cited By ~ 1

Author(s):

Dariusz Woźniak ◽

Lech Gładysiewicz ◽

Martyna Konieczna

Keyword(s):

Main Part ◽

Rolling Resistance ◽

Experimental Tests ◽

Conveyor Belt ◽

Significant Component ◽

Different Types ◽

Indentation Rolling Resistance ◽

Belt Conveyors ◽

The Impact

Belt conveyors are main part of transporting systems in mines and in many other branches of industry. During conveyor belt works different types of resistances are generated. Indentation rolling resistance is the most significant component of the resistances from the perspective of energy losses and it cause the biggest costs as well. According to latest state of analyses and measurements it is well known that theoretical rolling resistance were underestimated in comparison with the measured in-situ one. In this paper new method for determination indentation rolling resistance is presented. The authors compared theoretically and experimentally established damping factors. The relation between these two values enabled to obtain more precise equation for damping function. This function is one of the most important component in calculation of the rolling resistance. In new theoretical model value of rolling resistance is nearly twice higher than this used so far.

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Mathematical Model for Determining the Lifetime of Conveyor Belts Depending on some Selected Parameters

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.683.147 ◽

2014 ◽

Vol 683 ◽

pp. 147-152

Author(s):

Miriam Andrejiová ◽

Anna Grinčová ◽

Anna Pavlisková

Keyword(s):

Mathematical Model ◽

Statistical Methods ◽

Paint Layer ◽

Conveyor Belt ◽

Belt Conveyor ◽

Layer Width ◽

Conveyor Belts ◽

Belt Conveyors ◽

Transported Material ◽

Optimal Construction

In the last years, belt conveyors belong to the most frequently used means of transport in various industries. The most important component of the belt conveyor is the conveyor belt. Therefore, it is necessary to pay more attention also to optimal lifetime of conveyor belts. Conveyor belt lifetime is a very complicated issue. It is affected by plenty of factors, including above all the quality structure of the belt conveyor, optimal construction, production, and properties of the conveyor belt as such, adequate solution of conveyance route shifting, reasonable maintenance, and quality repairs of conveyor belts. The paper deals with the exploring the lifetime of conveyor belts depending from on some selected parameters obtained from the operating records of practice (thickness of paint layer, width and length of the belt, conveyor speed and quantity of transported material) with using appropriate mathematical - statistical methods.

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Parametric Finite Element Analysis on Key Parts of the Conveyor

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.101-102.755 ◽

2011 ◽

Vol 101-102 ◽

pp. 755-758 ◽

Cited By ~ 1

Author(s):

Chun Sheng Yang

Keyword(s):

Mechanical Characteristics ◽

Bulk Material ◽

Viscoelastic Model ◽

Conveyor Belt ◽

Belt Conveyor ◽

Element Analysis ◽

Conveyor System ◽

Belt Conveyors ◽

Parametric Finite Element Analysis ◽

Research Situation

Belt conveyors are the major equipments for bulk material transportation.This paper analyses the static and dynamic behaviours of the belt, and establishes the dynamic elastic modulus. By analyzing the characteristics of the Kelvin and Maxwell viscoelastic model, the former is selected as the conveyor belt model as it can more realistically reflect the mechanical characteristics of the conveyor system. This paper introduces the development of the belt conveyor, and analyzes the current research situation at home and abroad.

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Computer Aided Modeling of Wood Chips Transport by Means of a Belt Conveyor with Use of Discrete Element Method

Applied Sciences ◽

10.3390/app10249091 ◽

2020 ◽

Vol 10 (24) ◽

pp. 9091

Author(s):

Łukasz Gierz ◽

Łukasz Warguła ◽

Mateusz Kukla ◽

Krzysztof Koszela ◽

Tomasz Szymon Zwiachel

Keyword(s):

Discrete Element Method ◽

Analytical Model ◽

Inclination Angle ◽

Numerical Test ◽

Discrete Element ◽

Conveyor Belt ◽

Wood Chips ◽

Belt Conveyor ◽

Belt Speed ◽

Element Method

The effectiveness and precision of transporting wood chips on the transport trailer or hopper depends on an inclination angle, a conveyor belt speed, and length. In order to devise a methodology aiding designing and the selection of technical and performance parameters (aiding the settings of conveyor belt sub-assemblies), the authors carried out the simulation tests concerning wood chips transport on the belt conveyor and their outlet. For the purposes of these tests, a simulation model was performed in the Rocky DEM (discrete element method) software in the numerical analysis environment and compared to analytical tests. The tested wood chips were taken from cherry plum branches chipping processes (Prunus cerasifera Ehrh. Beitr. Naturk. 4:17. 1789 (Gartenkalender 4:189-204. 1784)), out of which seven basic fractions were separated, which differed mainly in terms of their diameter from 5 mm to 50 mm and the length of 150 mm. The article presents the results of wood chips ejection distance in the form of the 3D functions of wood chips ejection distance depending on the conveyor belt inclination angle and belt speed. The results are presented for five conveyor belt lengths (1 m, 2 m, 3 m, 4 m, 5 m). The tests also involved the conveyor belt inclination angle in the range from 10° to 50° and the belt velocity in the range from 1 m/s2 to 5 m/s2. The numerical test results demonstrate higher average values of wood chips ejection distance than designated in the analytical model. The average arithmetical difference in the results between the numerical and analytical model is at the level of 13%.

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Research of a machine with a belt conveyor for drying grain

E3S Web of Conferences ◽

10.1051/e3sconf/202019301071 ◽

2020 ◽

Vol 193 ◽

pp. 01071

Author(s):

Andrey Pavlushin ◽

Sergey Sutyagin ◽

Galina Karpenko ◽

Vadim Artemiev

Keyword(s):

Energy Consumption ◽

Specific Energy ◽

Objective Assessment ◽

Specific Energy Consumption ◽

Experimental Studies ◽

Conveyor Belt ◽

Optimization Criterion ◽

Regression Equation ◽

Belt Conveyor ◽

Grain Moisture

Currently, grain drying technology is imperfect. Therefore, the development and scientific substantiation of energy-saving, environmentally friendly installations for drying grain that meet the requirements of modern Russian agrarian production is an urgent and important scientific and technical task that is essential for the development of the country. To solve this problem, we have developed a contact-type installation with a belt conveyor. For an objective assessment of the research object, the specific energy consumption per 1 kg of evaporated moisture qуд, kJ/kg of moisture was taken as an optimization criterion. The study of the installation in the drying mode was carried out on oat grain. After processing the results of the experiments, a new equation was obtained. This is a regression equation in natural and coded values of independent factors. The regression equation characterizes the influence of independent factors on the optimization criterion. Having solved the regression equation, it was found that the minimum specific energy consumption for drying grain is 4388 kJ/kg of moisture. This value is achieved at an average temperature of the conveyor belt tᴤр = 60 °C and the residence time of grain in the installation τ>об = 40 s. In this case, the convergence of theoretical and experimentally obtained research results was at least 95%. The decrease in grain moisture during the heating cycle in the developed installation is 2 ... 2.5%, which corresponds to agrotechnical requirements. Thus, as a result of theoretical and experimental studies of the developed installation, it was revealed that with optimal values of independent factors, the specific energy consumption is 4388 kJ/kg of moisture, which is 1.5 times less compared to serial grain dryers, in particular, with the SZ - 1.

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Mechanical analysis and research of the conveyor belt of plane turning belt conveyor based on Discrete Element Method

Archives of Transport ◽

10.5604/01.3001.0009.7386 ◽

2017 ◽

Vol 41 (1) ◽

pp. 55-62

Author(s):

De-yong Li ◽

Shuang Wang ◽

Kun Hu

Keyword(s):

Discrete Element Method ◽

Inclination Angle ◽

Turning Point ◽

Elevation Angle ◽

Load Condition ◽

Discrete Element ◽

Conveyor Belt ◽

Design Parameters ◽

Belt Conveyor ◽

Element Method

In view of the size and the change of the load force of the conveyor belt at the turning point of the plane turning belt conveyor, the influencing factors of the stress of the conveyor belt at the turning point of the plane turning belt conveyor under full load condition are analyzed. A three dimensional model of the turning point of the plane turning belt conveyor is established. Combined with previous research experience, the formula for calculating the load is put forward. Based on discrete element method, multiple sets of internal curve elevation angle and the belt speed are used for dynamic simulation analysis. The results showed that the middle of conveyor belt is the most stressed, the lateral force second, the force of the inner conveyor belt is the least. Outside force increases with the increase of speed; there is no change in the middle band; the inner band force decreases with the increase of the velocity. Outside force decreases with the decrease of the inclination angle. With the change of the inclination angle, the force is basically unchanged. With the decreasing of the inclination angle, the force increases gradually. By optimizing the design parameters of the plane turning belt conveyor, the force of belt is reduced, and the service life of belt is improved.

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