The operation of the hoist is not simply a constant motion, and different forms of lifting acceleration can cause changes in the tension of the steel wire rope, thereby affecting the strain and friction transmission of the friction lining. The coal mine environment is harsh. During the operation of a friction hoist, different mediums are often mixed between the friction lining and the steel wire rope. In order to explore the appropriate forms of lifting acceleration under different contact interface medium, and to investigate the influence of different contact interface medium on the strain and friction performance of friction lining under different acceleration forms, this paper simulates the mine environment and conducts four different forms of lifting acceleration friction experiments using the dynamic micro sliding friction experimental platform of friction lining and steel wire rope. The strain and friction performance changes of friction linings are analyzed through DIC technology. The results show that under different contact interface medium, the strain change amplitude of the friction lining is the smallest under the trapezoid acceleration form, and the stability of the friction transmission is the best. Under trapezoid acceleration conditions, the friction force, friction coefficient, and strain amplitude of the friction-enhancing grease medium are the smallest, the maximum strain value decreases by 45.6%, and the friction force decreases by 64.3%, which has the greatest impact on the friction transmission performance of the friction lining. This paper provides guidance for the safe operation of friction type hoists.