Introduction. Ratios for calculating the laden skip acceleration and speed at the motion start are required to calculate skip pneumatic winding plant cycle components. The ratios are the solution to the skip dynamics equation which takes into account the relationship between the flow generated by a power unit and air pressure. Research methodology. The dynamics equation including the dependence of the pressure on the flow rate (aerodynamic characteristic) in a general form is compiled. In a special case of the unit’s physical model, a discharge unit with a linear aerodynamic characteristic is used. Research result. For a particular case, equations are obtained that allow to theoretically describe the kinematic parameters of a skip in the period of unsteady motion. It is established that the skip acceleration, velocity and displacement are asymptotic functions. The obtained expressions for kinematic parameters make it possible to theoretically determine the duration of the acceleration period and the path that the ISSN 0536-1028 «Известия вузов. Горный журнал», № 1, 2021 121 skip takes during this period. A method for calculating skip dynamics during acceleration is proposed, which contains approximating formula conclusion for the power unit aerodynamic characteristics, its substitution into the dynamics equation, and obtaining skip kinematic parameters by solving the dynamics equation. Conclusion. The obtained relations allow to calculate skip dynamics during acceleration taking into account power unit aerodynamic characteristics, which is necessary to determine the working cycle time of the pneumatic winding plant.
The high angle belt conveyor with the cross ridge partitions is proposed in the article which allows to increase significantly not only its belt angle but also the transported weight cargo at the expense of the more effective flling and resistance to the force of gravity. The methodology of the high angle belt conveyor calculation is fnalized with regard to the defning of the forces and strains which influence the pressing lever. The graphical and mathematical models are proposed to depict the force interaction between the substructure elements and the transported weight load. The equation was derived for the maximum bending moment due to the conveyor structural features which now allows to calculate both the geometrical parameters of the press lever and the necessary compressed spring force. Taking into account the friction coefcient, the force of gravity and the additional force which is transmitted on both the diaphragm and the conveying belt the optimal range of the conveyor's belt angle was defned which provides the material consumption reduction at the designed productivity comparing with the conventional conveyors.Ill.4. Ref. 8.
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