The subject of the research project includes a development of a method of a hoisting machine pulley design, using strength analyses, based on the Finite Elements Method (FEM) and dynamic analyses, using a mathematical model, describing a mine shaft hoist.

The developed mathematical models, describing dynamics of a shaft hoist, will be used for a determination of loads, changeable in time, which will become boundary conditions in the strength analysis conducted with the Finite Elements Method (FEM).

At present the Finite Elements Method is commonly used for strength analyses of hoisting machine components, in particular of a pulley. The analytical methods, used up to the present time, for determining the boundary conditions of loads in a pulley strength analysis are simplified to a significant extent and thus inaccurate. Traditional methods of determining loads omit several, essential parameters connected with operational dynamics of a mine shaft hoist such as: a hoist operational speed, a position of conveyances, elasticity of hoisting and balance ropes. These dynamic parameters are considered in the mathematical modelling process of a mine shaft hoist. Basing on such models it is possible to determine a character of changes and values of loads during an operation of a hoisting machine in a significantly more accurate manner than in the case of traditional analytical methods, which enables to conduct a more accurate strength analysis of hoisting machine components, in particular of a pulley.