Abstract
Analytical dependencies for determining the rigidity and parameters of a stress-strain state of a rubber layer located between the cables and the drum from their mutual shear are established in a closed form. A method of determining the dispersion of deviation of calculated displacements from established values of elastic shell material is developed. Obtained results allow considering the shape of an elastic layer of rubber, estimate the level of reliability of the results when calculating a stress-strain state of rubber-cable tractive elements from the shear of cables relatively to the drum. Established dependencies can be used for determining a stress-strain state of a layer of elastic material, caused by shear of cables relatively to the drum of a machine, and formulating the condition of strength of a rubber-cable tractive element loaded with shear forces on a drum. Possibility of determination of a lower boundary of the efficiency coefficient in a process of interaction of a rubber-cable rope (belt) with pulleys and drums, both driving and driven, lined with elastic materials and with hard operating surfaces, allows improving the accuracy of calculations of drives of lifting and transporting machines with such executing elements.
Highlights
Conditions of mineral extraction in mining enterprises are being constantly complicated [13]
The structure regularity allows considering not the entire belt, but only a regularly repeated element. This element consists of a cable that is symmetrically surrounded by an elastic shell
Deformed state of an elastic shell of a flat rubber-cable tractive element caused by displacement of cables relatively to the drum is given by a sum of three states
Summary
Conditions of mineral extraction in mining enterprises are being constantly complicated [13] Their extraction is performed from considerable depth, the demand in volumes of extracted minerals increase, as well as demand in energy saving [4,5,6], efficiency and metal consumption of equipment [7,8,9], including the equipment of lifting and transportation [1012]. Ropes and belts vary in size of cables, their amount, placement spacing, and elastic shell thickness. The latter combines cables, determines the character of their interaction inside the rope and the interaction of cables with constructive elements of machines, in particular with drums. The elastic shell acts as protection of cables from their interaction with environment and elements of machines It protects rope and belt cables from corrosion and mechanical wear, increases their lifecycle. Determining the distribution of stresses allows choosing the parameters of the belt reasonably; determining the dangerous level of its stress state, what ensures the effectiveness of its use
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