Control algorithms for mining and metallurgical plant-ambient environment system stability

Traditional ways of cleaning of cooling lubricants in agrarian–industrial complex are considered in the article. Experimental data on the presence of magnetic impurities and its fractional composition as a result of parts machining on machines with the use of cooling lubricants are cited. Combined devices based on the combination of traditional methods for cleaning technical fluids have been used to intensify the cleaning process. The use of such combined cleaning methods is grounded, the forces effecting on the particles in the process of separation – coagulation forces, magnetic deposition, and medium resistance – are considered. The mathematical model of the coagulation process of two particles having similar size in a homogeneous magnetic field is made up. However, it is impossible to solve the obtained system even by a numerical method with unknown initial conditions. In this connection, the inverse problem is proposed. The physical significance of the effect of forces is as follows: a floccule consisting of two particles is destroyed under the effect of coagulation forces; the resistance of the medium prevents it. Its numerical solution allows finding the main dynamic characteristics of particle coagulation: the speed and distance from which they interact.

Section: Results and Its Discussionmentioning

confidence: 99%

Calculation of magnetic devices cleaning coolants in the agro–industrial complex

Avdeyev¹,

Prosvirnin²,

Dema

2018

“…The system (4.3) is a formal representation of the multicriterion problem [4][5][6][7], which cannot be expressed with a single indicator.…”

Section: Multicriteria Convex Programming Problemsmentioning

confidence: 99%

“…Our task will be to search for a global extremum [5] for a certain point for several functions f(x), f2(x), ..., fk(x) at once.…”

Section: Pareto Solutionsmentioning

confidence: 99%

The study of algorithms for 3D’s engineering object representing with regard to their construction specifics

Соколова

2018

“…As well-known examples of the use of devices based on permanent magnets or electromagnets, it is possible to bring electromagnets for moving massive metal objects, magnetic plates similar in operating principle to the function of the vice grip, magnetic and electromagnetic couplings, magnetic bearings, solenoid valves and cranes of the linear and rotary drive, magnetostrictive devices, separation of ferromagnetic impurities from cooling lubricants, removing of cutting or grinding products in metal processing, etc. [1][2][3].…”

Section: A Problem Statementmentioning

confidence: 99%

Mathematical model of orientation of a ferromagnetic particle in magnetic field

Masyutkin¹,

Masyagin

Avdeyev³

2018

A mathematical model of the rotational motion of a particle with pronounced ferromagnetic properties, due to the moment of forces from the side of an external homogeneous magnetic field is deduced in the article. The basis of the model is the equation for the moment of forces effecting on a solid body. The driving torque is the magnetic moment, calculated through the strength of the external field and the magnetization of the material. The counter–torque is the moment of medium resistance, which mainly depends on the viscosity of the medium in which the simulated body is located. The dependences of the angle of rotation and angular velocity on time are determined. The mathematical model is represented as a system of differential equations. The developed mathematical model was solved by a Runge – Kutta fourth order method. The obtained results are presented in the form of graphs.