The article presents an optimization process of the brake disc in terms of mass and strength resistance. A model of the disc was made using three-dimensional software – Catia V5 (CAD). Model has been subjected to the parameterization process for the strength calculations. A brake disc was fixed at the location of the mounting screws and subjected to torque resulting from the braking process. As a result of calculations, a set of parameters that meet the established boundary conditions was obtained as shown in the article.

The mathematical model of grammatically augmented ontology was introduced to address this issue. This model was used for grammatical analysis of Ukrainian sentences. Domain specific language named GAODL for description of grammatically augmented ontology was developed. The grammar of the language was defined by means of Xtext extension for Eclipse. The developed language was used as an auxiliary part of the infor-mation technology for bidirectional Ukrainian sign language translation.

The work presents the original conception of  thin-walled plate element with the cut-out of irregular shape for use as a elastic or bearer element. The influence of geometrical parameters and the shape of the cut-out on the value of the critical load of the structure was researched. To discrete model and to perform numerical calculations used commercial program ABAQUS. Numerical calculations constitued own solution problem of compression structure and are the initial stage of research on work construction in elastic postcritical field with forced torsional-bending form of loss of stability was performed.

Equal Channel Angular Extrusion (ECAE) is known as a severe plastic deformation process and materials is deformed without any geometrical change. It is widely used for obtaining high mechanical properties from the product. Direct Extrusion is another plastic deformation process in which a workpiece is reduced in cross-section by forcing it through the die opening of a small cross-sectional area than that of the original billet. In this study, these two processes are combined together via using DEFORM 3D which is a very specialized software for metal forming operations. Lead is used as workpiece material to simulate hot forming conditions and also process parameters (die angle and die land length) were investigated. The forming load and strain components were calculated from the FEM results obtained from DEFORM 3D software.

Nowadays numerical methods are a powerful tool to simulate real processes. Polymer materials are increasingly used in engineering solutions. ABS is a common material used interchangeably with respect to traditional materials. Process for the production of components for rese-arch on 3D printers is becoming more widespread and accessible to ordi-nary users. Crack propagation process was carried out at the same time to compare results through experiments performed on the testing machine and numerical study. Cracking process was carried out by finite element method, implemented on the basis of simulations xFEM. This method allows to conduct research related to the separation of the material nodes, in places of highest stress levels that exceed the limits of plasticity and strength of the material. The analysis involved comparison of the shape of the resulting cracks through experimental and numerical way.

This paper presents results of 3–axis CNC machine tool diagnostics performed with XL-80 laser interferometer and XC-80 environmental compensation unit, including pressure, humidity and temperature sensors. Furthermore, the paper includes the methodology and results of conducted measurements of linear positioning errors, which supplied data for further analysis. The conclusion section presents important results of conducted experiments. Measurement results were presented in figures, charts and tables.