Досліджено процес заповнення пресформ для лиття під тиском полімерних виробів складної конфігурації. Розроблено матема тичну модель динаміки руху в'язкої рідини з вільною поверхнею в оформлюючій порож нині пресформи. Математичну модель по будовано на основі використання методу маркерів та комірок. Проведено експери ментальні дослідження, що підтверджують аналітичні результати Ключові слова: пресформа, розплав полі меру, поле швидкостей, поле тисків, розра хункова сітка, спаї Исследован процесс заполнения пресс форм для литья под давлением полимер ных изделий сложной конфигурации. Раз работана математическая модель дина мики течения вязкой жидкости со свобод ной поверхностью в оформляющей полости прессформы. Математическая модель разработана на основе метода маркеров и ячеек. Проведены экспериментальные исследования, подтверждающие аналити ческие результаты Ключевые слова: прессформа, расплав полимера, поле скоростей, поле давлений, расчетная сетка, спаи

Polymer waste of light industry and other industries is processed by chemical recycling and mechanical grinding. Modern equipment for polymer waste processing has the following drawbacks: significant energy consumption and reduced performance properties of recycled polymer. New technological processes and equipment for polymer waste recycling have been developed for the manufacture of light industry polymer products with increased performance characteristics. The manufacturing of such products was made possible by the development of the mathematical model, which describes the movement of a mixture of main polymer material and particles of recycled polymer waste in the process of filling a mold cavity. The model, in contrast to the existing models, allows observing the formation of the polymer product structure containing recycled waste particles. Improvement in the performance characteristics of shoe soles made by the injection molding of a mixture of polyvinylchloride and particles of recycled polyvinylchloride was confirmed by experimental tests of breaking strength and fatigue life. The results of these tests can be used in the design of processing equipment to obtain waste particles of the required shape and size and in the design of molds to provide the required concentration and orientation of waste particles in light industry polymer products.

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The analysis and classification of shaping methods in the design of shoe bottom parts, and the investigation of research methods of automation of the design process of shaping shoe bottom parts to increase the efficiency of the design process and reduce the complexity of manufacturing products at the stages of technological preparation. Based on the use of means of transformation and harmonization, the structure of the stages of shaping of art objects to obtain modern shapes was developed, which made it possible to implement a new approach to the artistic design of footwear. On the basis of the developed approaches to the choice of shapes and shaping methods sketches were created and 3D models of shoe bottom parts with the subsequent program analysis of loading on a sole were developed. New shapes shoe bottom parts have been developed with the help of transformation principles and a model has been made by automated design methods, which can be used in technological preparation for the manufacture of light industry products. Regularities of transformation processes for improvement of artistic design of footwear on the principles of bionics and stylization are established. Given that the complexity of structures and the emergence of new spatial solutions pose designers more complex technical tasks for the implementation of design projects, a method was proposed of calculating the strength and stability of products of complex geometric shapes, taking into account the materials from which they are made. As a result of the performed work, women's shoes of the “shuttle” design with an over seam back allowance were developed. Given the fact that the shoes should be comfortable and meet ergonomic indicators, the materials, the shape of the pad, and the design of the model were selected. The purpose of this shoe is everyday wearing, focused on the youth category of consumers. The used technique allows shaping a wide range of various prototypes of footwear, using a small number of transformed products. Determining the most loaded areas made it possible to propose measures to improve the design of shoes of non-standard models. And the combination of the given techniques with modern high-tech production helps to save means of the manufacturer and to increase the service life of footwear.

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.