The process of removing liquid from the surface or inner layers of materials is widely used by various enterprises. To implement such a process, such a method of dehydration as drying is most often used. In drying technology, drum dryers are the most common type. Controlling a drum dryer causes problems such as low efficiency (0.4-0.6) and high operating costs. To eliminate these problems, it is proposed to develop a system of adaptive fuzzy control of a continuous-flow drum dryer in order to increase the efficiency of control of technological processes of drying sand by using intelligent technologies. The method for this article is adaptive control using fuzzy logic control, which has the ability to control the parameters of the dryer depending on changes in the parameters of the control object or external disturbances acting on the control object. Adaptive fuzzy controllers are created on the basis of the proposed method. A model of the control object has been developed taking into account the links between the parameters of the technological regime. The processing of the research results was carried out using the MatLab software. The practical significance of the article lies in the fact that the results can be used in enterprises where parallel-flow drying drums are used to obtain a product of the highest quality, as well as to reduce the cost of purchasing raw materials.

A mathematical model of a contact interaction between a plate and rigid stamp is derived taking into account physical and design details. The plate is considered to have a crack, that changes its form. The problem of the contact is evaluated based on the theory of variational inequalities. The shape of the stamp is assumed to be perpendicular to the plate surface and the Poisson’s ratio is between 0 and 0.5. Analytical formulation of the study consists of transformation equation, boundary conditions and integral equation. The result is used in maximization and minimization problems for choosing extremal shape of the vertical break in the plate.