DETERMINATION OF TENSIONS IN THE BLOOD OF THE ROPE DRUM

Fidrovska N. M. Kharkov National Automobile and Highway University https://orcid.org/0000-0002-5248-273X
Smirnov І. P. Kharkov National Automobile and Highway University https://orcid.org/0000-0002-5982-8123
Chernishenko O. V. Kharkov National Automobile and Highway University https://orcid.org/0000-0003-3255-1088
Shtoda V. S. Kharkov National Automobile and Highway University https://orcid.org/0009-0001-8003-5849
Poliakov O. А. Kharkov National Automobile and Highway University https://orcid.org/0009-0001-4436-3001

Keywords: drum, forehead, rope, tension, deformation, stiffness elements

Abstract

DOI: https://doi.org/10.26565/2079-1747-2026-37-14

Rope drums are in a complex state of stress because the ropes have three types of stress: compression, bending and torsion. The main stress is the compression that occurs as a result of winding the rope. In determining this stress, the drum is considered as an endless thick-walled tube that has no hubs. At the same time, it is assumed that the tension of the rope is constant along the length and perimeter of the drum, that is, the Lame decision is accepted. But this is a very approximate solution that does not correspond to the actual load conditions of the drum.

The article deals with the problem of determining the loaded state of the front face of the rope drum. All methods of calculating the front faces of drums have many shortcomings, the main of which is the failure to take into account the variability of the load on the drum wall due to the pressure of the rope turns, the coefficient of friction, the geometric and elastic parameters of the rope and drum.

The front of the drum is considered as a round plate, which is loaded on the outer circle with asymmetric pressure. To solve the given problem, we set the function of the external load of the front face of the drum and compose the equation of the total potential energy of the plate per unit length along the radius r without taking into account the shear deformation. At the same time, we get a differential equation of the 4th degree.

After solving this equation, a dependence was obtained to determine the deformation of the front face of the rope drum under the action of the rope that is wound on the drum shell. This will make it possible to calculate the loading of the frontal lobe and assess the need to strengthen it with stiffening elements.

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