Розглянуто інженерний метод визначення міцності і деформації полімерних деталей легкої промисловості на прикладі підошви взуття. Отримано аналітичні залежності для визначення міцності і прогину консольної балки з в'язко-пружного матеріалу. Отримані залежності дозволяють оцінити поведінку підошви у процесі носіння взуття і прогнозувати його експлуатаційні характеристики. Умови навантаження балки відповідають роботі підошви взуття на високих підборах. При математичному моделюванні навантаження консольної балки враховано властивості матеріалу, які не відповідають закону Гука. Розрахунок на міцність дозволяє визначати оптимальні геометричні параметри підошви, а саме її товщину і форму рифлення ходової поверхні, які дозволять уникнути її руйнування під дією робочих навантажень. Розрахунок на прогин дозволяє прогнозувати величину деформації підошви відносно каблука в момент її контакту з грунтом з метою забезпечення необхідної форми взуття.

Purpose. Development of methods for determining the degree of drawing, at which the transformation of the unoriented structure of the polymer sheet (geomembrane) into a highly oriented one begins, which increases its strength, and, thereafter, the durability in the process of gold extraction by heap leaching. Methodology. The theoretical method for the investigation of the stress-strain state of a polymer sheet in the process of drawing on the basis of previously obtained experimental data. Findings. The following has been developed: the model of the supramolecular spherulitic structure of amorphous-crystalline polymers in a non-oriented and oriented states; the method for determining the degree of drawing at which the destruction of the spherulitic structure of the polymer material begins. Originality. For the first time, the problem of changing the stress-strain state of a polymeric material during its orientational drawing was solved by an analytical method. The developed mathematical model allows predicting the elastic properties of oriented amorphous-crystalline polymers of a spherulitic structure, which makes it possible to increase their strength in the desired direction. Practical value. On the basis of theoretical studies, as well as the results of previously conducted experimental studies, a method was developed for determining the degree of drawing at which the destruction of the spherulitic structure of a polymeric material begins and a fibrillar structure is formed. This technique can be used while designing the equipment for the orientation of sheet polymer materials that are therefore used for strengthening polymer sheets (geomembranes), used for gold extraction by heap leaching.

The problem of computer diagnostics of complex systems is one of the non-trivial tasks of modern information technology. Such systems are, for example, computer networks, automatic and/or automated control systems for complex technological objects, including related to complex problems of environmental protection, biology, etc. In pattern recognition, one of the major problems is forming subspaces of informative features, which only in the "ensemble" allow diagnosing the states of such systems with a high degree of reliability. An effective approach to solving this problem based on the principles of inductive modeling of complex systems is proposed. The quality criterion for recognizing classes of patterns is formulated, which also makes it possible to evaluate the quality of the constructed ensemble of informative features. As an example, the problem of constructing an ensemble of informative features represented by a binary code based on the data of an experiment to determine the hazard levels of some plant protection products is considered. Real primary data on plant protection products used in practice were applied to recognize the effect of certain characteristics on the so-called integrated "hazard indicator". Comparative numerical estimates of the effectiveness of the proposed approach are given. In this case, there can be a fivefold gain in the amount of computations for a relatively small number of input features equal to 5 compared to the known algorithms of the class considered in the paper. It is shown that, from a practical point of view, the described algorithm has advantages over the known algorithms with brute-force search of feature subspaces in pattern recognition problems.

Висвітлено загальні методи наукових досліджень, методологію математичного планування та аналізу експерименту, етапи підготовки магістерської роботи. Розглянуто основи інтелектуальної власності. Наведено приклади оформлення заявки на винахід (корисну модель) та знаку для товарів і послуг.