моделювання

The article describes the problem of data personalization by identifying the individual characteristics necessary to solve the personalization problem. The essence of the researched problem of personalization and the solution of tasks of the estimated correlation between individual characteristics and the solution using the forecasting model has been also highlighted.

Simulation of the dose rate of building materials γ-radiation in the premises of different designs has revealed the minimal levels of human exposure. It was determined that the exposure dose rate at the given points of a single room depends on the content of natural radionuclides in construction materials and the changing geometry of a person's exposure in the premises. When the exposure dose rate of γ-radiation above an individual plate is determined, it is conventionally divided into the discrete sources, the dose rate from several plates is summed up.

Aim. The aim of this paper is to create a 3D model of the undeformed chips produced during the cutting of an internal gear ring. By modelling the power skiving process, it is necessary to investigate the influence of various geometric and technological parameters on the thickness and cut area of the chips produced. Method. By simulating the gear turning process, it is possible to reproduce the cutting of the gear teeth and accurately determine the geometric parameters and the shape of the undeformed chip at each moment.

Aim. The development of methods of the theory of similarity and dimensionality, criterion values, as an intermediate component between theory and experiment, which ensures a functional connection between entire sets of values that characterize the process at the level of a physical model and simplify the planned experiment. Method. Processes that have a single nature of the interaction of physical phenomena can be used to build mathematical models in the study of a continuous disk dispenser.

Robotization is one of the crucial directions of modernizing today's industrial production. Robotic systems offer solutions to many different challenges. However, their implementation is constrained by limited accuracy, which is inferior to conventional machine tools. A way to improve industrial robots' accuracy is to calibrate them, i.e., eliminate factors that affect accuracy by refining the mathematical models for software correction of manufacturing and assembly errors, as well as elastic and thermal deformations.

Розроблено імітаційну модель однобітного сигма-дельта модулятора третього порядку, що дає змогу дослідити вплив параметрів компонентів модулятора на функцію перетворення модулятора загалом. За допомогою розробленої моделі досліджено вплив нелінійності інтеграторів на нелінійність модуляторів третього порядку з різними параметрами.

Запропоновано структуру математичного моделювання корозії на межі «метал- електроліт». Визначено ємність і ефективну товщину подвійного електричного шару без урахування розподілу зарядів у електроліті.

The structure of mathematical modelling of corrosive processes on a interface ‘metal- electrolyte’ is offered. Capacity and effective thickness of double electric layer without the account of distributing of charges in an electrolyte is determine.

Запропоновано рекомендації щодо моделювання туристичних потоків з використанням метрологічних чисел.

The recommendation for the modelling of tourist streams with the use of metrology numbers are offered.