modelling

The article is dedicated to the development and application of information technologies to support the educational process of individuals with special educational needs. A conceptual model is proposed that combines modern information and communication technologies, artificial intelligence methods and mathematical models for personalizing learning and taking into account the individual characteristics of participants in the educational process.

The article discusses the assessment of the state of reinforced concrete beams using the digital image correlation method and submicron indicators. Bending elements are the most widely used in reinforced concrete structures, so the ability to accurately evaluate and use new methods that simplify the labor intensity of the process and increase the accuracy of measuring deformations and load-bearing capacity is extremely important.

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.

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.

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.

Описано методологію математичного моделювання адгезійного шару на межі «метал–діелектрик». Для перехідної області визначено ємність, ефективну товщину подвійного електричного шару, роботу адгезії, енергію адгезійних зв’язків.

Methodology of mathematical modelling of adhesion layer on a interface  "metal– dielectric" is described. For a transitional area a capacity, effective thickness of double electric layer, work of adhesion and energy of adhesive bonds is determine.

Запропоновано рекомендації щодо моделювання туристичних потоків з використанням мурашиних алгоритмів.

The recommendation for the modelling of tourist streams with the use of ant algorithms is presented.

Запропоновано рекомендації щодо моделювання гідродинамічних потоків в озерних екосистемах з урахуванням відновлювальних процесів.

The recommendation for the modelling of hydrodynamic streams in lacustrine ecological systems taking into account restoration processes are offered.