STRESS ANALYSIS IN A CONVEYOR BELT FOR THE MAXWELL MODEL OF ELASTIC ELEMENT

Abstract

The mechanism of propagation of longitudinal dynamic stresses in a conveyor belt, the material of which corresponds to the Maxwell model of an elastic element, is considered. The features of the occurrence of longitudinal vibrations in the material of the conveyor belt for the section of the transport system equipped with asynchronous motors are considered. It is shown that the acceleration of the conveyor belt occurs as a result of an abrupt change in the traction moment of the asynchronous electric motor when the power consumption of the conveyor section changes. The process of acceleration/deceleration of the conveyor belt is periodic and is determined by the uneven distribution of material along the transport route. This imposes additional restrictions on the synthesis of algorithms for optimal control of the conveyor belt speed. Accounting for uneven distribution of material along the transport route is based on an analytical PiKh-model of the conveyor section. To analyze the longitudinal vibrations in the conveyor belt section of the transport system, the wave equation is written and the boundary conditions are substantiated. An estimate of the propagation velocity of longitudinal vibrations in the conveyor belt is given. A solution of the wave equation based on the method of successive approximations is obtained, which determines the dynamics of the propagation of dynamic stresses along the conveyor belt. An estimate of the value of the characteristic acceleration time of the belt, which determines the continuous mode of operation of the transport conveyor section, is given. The scientific novelty of the results obtained lies in the improvement of the control systems for the flow parameters of the transport system in the presence of restrictions associated with the occurrence of longitudinal vibrations in the conveyor belt. The practical significance of the results obtained lies in the construction of a methodology for calculating the limitations of the acceleration/deceleration mode of a conveyor belt unevenly loaded with material along the transport route.