MATHEMATICAL MODEL OF TRANSVERSE VIBRATIONS OF A HIGH-CAPACITY MINING SKIP DUE MISALIGNMENT OF THE GUIDING TRACKS IN THE HOISTING SHAFT

A solution is suggested to the problem which has received a great deal of researchers’ attention in the last twenty years involving the development of a mathematical model of transverse vibration experienced by high-capacity mining skips while they traverse the shaft. Such model, particularly useful when investigating fatigue damage of hoisting skips, is still being sought by engineering practitioners responsible for hoist safety. Models proposed so far have been found unsatisfactory, which was corroborated by research data showing that the underlying assumptions and involved equations need to be modified. This paper highlights the suggested modifications, basing on measurement data and the modified version of the model is verified against those data.