Abstract
To find possible conveyor failures at the design stage means to determine a transverse belt displacement and compare the obtained data with the permissible ones. The dynamic problem of the belt movement on the conveyor has been defined. Resistance and external forces, limits of the belt displacement have been determined. The transverse belt displacement can be described by partial differential equations. To solve the problem, the Fourier transform has been used. Change patterns in the transverse belt conveyor displacement dependent on conveyor’s parameters, type of load, and skewing of the idlers along the conveyor have been obtained. The results agree with experimental data. The method of adaptive control of the transverse belt displacement has been described. The essence of this method is to adapt the model of the moving belt in the conveying trough to changed conditions and to reveal the uncertainty of the control with the known parameters of the mathematical model.
Highlights
Having analyzed the conveyors, which are used for transporting of bulk load, it has been revealed that failures caused by a transverse belt displacement, occur on conveyors with impact and suspended idlers
Possible failures of transverse belt displacement under bulk influence have been determined by comparing the solutions of the second-order partial differential equations with the right-hand side of (4) using the Fourier transform under the following initial and boundary conditions: if t =0 u = 0;
On the basis of the studies of a belt movement in the conveyor trough, we have developed a method aimed at maintaining the stable movement of a belt along the idlers with the known parameters of the dynamic model, when the following condition is met: u(x,t) ≤ [u], (10)
Summary
Having analyzed the conveyors, which are used for transporting of bulk load, it has been revealed that failures caused by a transverse belt displacement, occur on conveyors with impact and suspended idlers. When the belt interacts with other elements of the conveyor by friction forces and is slightly disturbed it can lose its equilibrium state It has been established [1,2,3] that the factors that cause the transverse belt displacement change with time and depend on the operating conditions of the equipment, its installation, the quality of the belts used, the design of loading devices, the distribution of the load, and climatic conditions. Most of these factors cause conveyor failures because of the occurrence of a transverse force, the value of which substantially depends on the adhesion of the belt to the idlers and the skewing angle in the plane of a belt movement.
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