The drum is a key winding component of an ultra-deep shaft construction hoist, and its structural characteristics directly affect wire-rope vibration and winding behavior, potentially leading to abnormal winding phenomena such as rope jumping. Therefore, a dynamic model of wire-rope inter-turn and inter-layer transitions and a rope-jumping discrimination model are established, and the second-to-third-layer transition acceleration and the third-layer critical fleet angle in the folded-line area are selected as the dual optimization objectives. A polynomial response-surface surrogate model is constructed based on orthogonal-test screening and central composite design, and multi-objective drum-structure optimization is performed using NSGA-II combined with entropy-weighted TOPSIS. Scaled winding tests are then conducted to evaluate the dynamic tension, critical fleet angle, and winding state before and after optimization. The results show that the second-to-third-layer transition acceleration decreases by 8.2%, while the third-layer critical fleet angle in the folded-line area increases by 4.7%. The optimized drum exhibits reduced dynamic-tension fluctuations at both inter-layer transition positions, and the relative errors between the theoretical and experimental critical fleet angles are all below 2.0%. Under the tested disturbance condition, rope jumping occurs in all four tests with the original drum, whereas no rope jumping is observed with the optimized drum.
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Fan et al. (2026) studied this question.
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