Abstract
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.
Highlights
Tubular belt conveyors are currently widely used in various industries: mining, metallurgy, construction and chemical
There is no calculation of the maximum allowable distance between the roller supports of the tubular conveyor depending on the parameters of the conveyor, the elastic properties of the belt, as well as the physical and mechanical properties of the bulk load
It is necessary, first of all, to develop a mathematical model of the stress-strain state of a belt filled with a bulk load as it moves along the tubular conveyor roller supports
Summary
Tubular belt conveyors are currently widely used in various industries: mining, metallurgy, construction and chemical. The main advantages of tubular conveyors, unlike ordinary belt conveyors with a grooved belt, are environmental friendliness and the ability to transport bulk load along curvilinear routes without overload devices Their effective use in industry is constrained by the lack of scientifically based methods for calculating the basic parameters of the tubular conveyor. There is no calculation of the maximum allowable distance between the roller supports of the tubular conveyor depending on the parameters of the conveyor, the elastic properties of the belt, as well as the physical and mechanical properties of the bulk load To solve this problem, it is necessary, first of all, to develop a mathematical model of the stress-strain state of a belt filled with a bulk load as it moves along the tubular conveyor roller supports. At the same time the bulk load on the conveyor belt was in extreme equilibrium
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