The paper considers the influence of diagram of peripheral rotational speed of the rope-driving body (pulley, drum) of a mine hoist on dynamic processes in the system “hoisting vessel - reinforcement” of a vertical mine shaft. It is shown that areas of abrupt speed changes (acceleration or deceleration, override in case of smooth motion disturbances, accidental rubbing, vessel catching on ledges in the guides, etc.) create a peripheral acceleration or deceleration of the pulley or drum rims, which causes longitudinal excitation of the upper ends of the main ropes. These and other factors lead to a sharp increase in the contact loads of shaft guides and braces, and an increased risk of their sudden failure, especially when the safety margins are reduced due to significant wear and tear of metal structures. The ways to adjust and optimize the actual hoisting speed diagram in order to reduce the contact loads on the shaft reinforcement and the associated risks of accidental hazards of mine hoisting equipment (MHE) are determined.