Abstract. Output of products at the industrial enterprise means -the debugged working mechanisms at each stage of product's life cycle: from initial design documentation to product and finishing it with utilization. The topic of the article is development of mathematical model of system of designing and technological preparation of production in branch of the industrial enterprise, and also statistical processing of estimated implementation result of the developed mathematical model in branch, and demonstration of its advantages at application at this enterprise. During the creation of model of a data flow about driving of information, orders, details and modules in branch of the enterprise groups of divisions were classified. Proceeding from the analysis of activity of divisions, a data flow, details and documents the state graph of system of designing and technological preparation of production was constructed, transitions were described and coefficients are appropriated. To each condition of system of the constructed state graph the corresponding limiting state probabilities were defined, and also Kolmogorov's equations are worked out. When integration of sets of equations of Kolmogorov the probability of conditions of activity of the specified divisions and production as function of time in each instant is defined. On the basis of the developed mathematical model of uniform system of designing and technological preparation of production and manufacture, and a state graph by authors statistical processing of results of application of mathematical model was carried out, and also its advantage at application at this enterprise is shown. Researches on studying of probability of loading of services of branch and third-party contractors (the orders received from branch within a month) were conducted. The developed mathematical model of system of designing and technological preparation of production and manufacture can be applied to definition of probability of conditions of activity of divisions and manufacture as function of time in each instant that will allow to keep account of loading of performance of work in branches of the enterprise.

In this paper the design of a parametric tooth model is considered, with the help of which it is possible to study the development of dental pathology. This model allows you to create a tooth prosthesis, with minimal intervention of the dentist, by creating a three-dimensional image of the studied tooth, close in architecture to the real one. Particular attention is paid to the study of the geometry of the tooth - the second molar. Based on the analysis of the presented initial data, additional characteristics were introduced, due to which the geometry of the surface areas of the tooth model is calculated. The article discusses the advantages and disadvantages of visualization methods used in this area to solve problems associated with the analysis of complex and heterogeneous information, and also presents conclusions on practical and scientific results. A parametric model of a tooth was built, which describes its geometry in comparative detail. The main necessary parameters and their limitations are determined. The obtained calculations of the geometric shape of the tooth can be used to study and analyze the biomechanics of teeth, the principles of differential diagnosis of pain, planning future iatrogenic intervention, as well as algorithms for the treatment of prosthetic disorders, provides the doctor with all the necessary tools. The constructed crown part of the tooth in the AutoCAD system can be used for teaching dental students. This model can be used for scientific and practical activities of students on the modeling and restoration of dental crowns.

Design of new products and mechanisms is continuous and complicated process. The complexity of new products is explained by increased requirements for reliability and wide functionality of new products for its competitiveness. At the same time, design time is reduced by replacing natural tests with computational experiments and the widespread use of modern computer-aided design systems (CAD systems). This article presents the design of the bridge laying mechanism of tank bridge layer using modern CAD systems.

Проектирование новых изделий и механизмов это непрерывный, сложный процесс. Сложность новой продукции объясняется повышенным требованием к надежности и широким функционалом новых изделий для его конкурентоспособности. При этом сокращается время на проектирование, путем замены натуральных испытаний вычислительными экспериментами и широким применением современных систем автоматизированного проектирования. В данной статье рассмотрено проектирование механизма укладки моста танкового мостоукладчика с использованием современных САПР.

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