MODELING OF THE FRICTION PAIR OF A BELT CONVEYOR AS AN ELEMENT OF THE TECHNOLOGICAL PROCESS OF ORE MASS TRANSPORTATION IN THE PDE TOOLBOX APPLICATION OF THE MATLAB MATHEMATICAL PACKAGE

Authors

  • I. Kurganov

DOI:

https://doi.org/10.34185/

Keywords:

belt conveyor, a frictional couple, operating slip angle, thermal field, optimum control, finite element method.

Abstract

It is proposed to use the PDE Toolbox application of the Matlab mathematical package, which provides the solution of differential equations in partial derivatives by the finite element method for modeling the friction pair of the interaction of the drive drum and the conveyor belt, as a thermal model with distributed parameters, of the belt conveyor as an element of the technological process of transporting ore masses The application contains a graphical interface; means of determining the type of equations and boundary conditions; the order of automatic formation of the grid of finite elements; tools for visualization of the obtained solution and its animation. The obtained results of calculations in the PDE Toolbox Matlab program, which make it possible to obtain the thermal field of the friction pair for the emergency and working modes of operation of the drive drum of the investigated conveyor of the technological chain of cargo flow transportation, which are determined by the initial and boundary conditions and coefficients of the Fourier heat conduction equation.

References

Volotkovsky V.S. Features of the use and wear of conveyor belts on long-distance installations: Tr. In-ta mountain. affairs. M-in black metallurgy of the USSR // Sverlovsk, 1976.-Iss. 50.- P.70-76.

Malyutin M.A., Popov L.I. Investigation of contact temperature in drives of belt conveyors // Mining Journal. - 1972. -№2. -WITH. 115-119.

Segerlind L. Application of the finite element method. – M.: Mir, 1979. – 392 p.

Troshchilo V.S., Piletsky V.G. Investigation of the heating of the conveyor belt during the slipping of the drive drum. - 1999. - No. 2 (61). - S. 200-204.

Shmelev V.E. Partial Differential Equations Toolbox. Tools for solving partial differential equations http://matlab.exponenta.ru/pde/book1/.

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Published

2023-04-23