Determination of the belt force before the gross slip

Dynamic contact characteristics between hoisting rope and friction lining in the deep coal mine

“…The partial slip is induced by the elastic deformation of the rope due to tension differences at both ends, and thereby causes the rope creep behavior adjacent to both ends. However, at the θ range of 0.26π ≤ θ b 0.80π, the stick state is produced attributed to sticking forces induced by microconvex bodies between contacting surfaces; meanwhile, the rope tension remains constant in the stick range [4,26]. Contact arcs corresponding to partial slip and stick states are regarded as the frictional arc and sticking arc, respectively.…”

“…As the rope tension difference reaches a critical value, ΔF critical , the state of gross slip throughout the contact region is reached [26,29,30]. When the applied rope tension difference is less than the critical value, ΔF critical , the state of partial slip is produced.…”

Dynamic friction transmission and creep characteristics between hoisting rope and friction lining

“…An increase of maximum creep velocity results in the increase in wear rate of friction lining [20,28]. It is obviously observed from last paragraph that increases of effective payload, maximum speed, acceleration and deceleration induce expanding trends of overall ranges of maximum creep velocity, which reveals the acceleration of friction lining wear.…”

“…overall ranges of the maximum creep amplitude changing from 2.7-8.7 mm, from 2.9-5.4 mm, and from 1.6-3.1 mm, respectively, during stages of acceleration, constant speed and deceleration. Larger maximum creep amplitude reveals a larger relative displacement between the rope and friction lining in the slip arc, and thereby enhances the gross slip trend [20,26]. As the effective payload, maximum speed, acceleration and deceleration increase, overall ranges of the maximum creep amplitude present upward, not obvious and expanding trends, respectively, i.e.…”

“…In the latter case, rope tensions, F 1 and F 2 , satisfy the Euler formula as described in Eq. (7) [20,21].…”