# finite element method

## Study of the processing of small diagnostic creations on a fluid sourcing by spiral survivals

The article considers the features of the drilling process where there is a change in temperature, hole diameter, and displacement relative to the axis and the impact on the tool, when machining holes with high-speed steel drills there is wear of the transverse edge which is completely rounded to create a conical surface. There is a decrease in the negative value of the front corners on the transverse edge of the decrease in axial force, which led to a decrease in the intensity of wear of the transverse edge.

## Solving topology optimization problems using cellular automata and mortar finite element method

Currently topology optimization is widely used by engineers for different practical problems.  Researches by different authors offer algorithms of using cellular automata in these problems, and most recent publications introduce a mesh-refinement procedure to decrease numerical efforts.  In this article, we propose to apply a mortar finite element method for solving topology optimization problems using cellular automata.  This methodology enables us to handle the non-conforming meshes, which can arise in the refinement process.  We present a formulation of the algorithm and analyse its comp

## Numerical analysis of heterogeneous mathematical model of elastic body with thin inclusion by combined BEM and FEM

This article dwells upon the multiscale elastic structures consisting of matrix medium and thin coatings or inclusions.  The matrix medium is described by the equations of classical elasticity theory, while Timoshenko shell theory is used for the description of the thin parts of the structure.   On the interface between media, perfect contact conditions are assumed to hold.  The coupled algorithm is developed, based on the boundary element method in the matrix part and on the high order finite element method in the thin parts of the structure.  The two methods are coupled using a domain dec

## Математичне моделювання та аналіз деформаційно-релаксаційного стану в деревині у процесі сушіння

The article develops a mathematical model of non-isothermal moisture transfer and viscoelastic deformation of wood during drying, which takes into account the anisotropy and variability of heat-mechanic characteristics. By finite element method was formulated by the implementation of mathematical models for viscoelasticity with regard to the accumulation of irreversible deformation. By object-oriented analysis is designed and implemented software implementation model in the form of documented classes.

## The parallel algorithm for solving problems of elasticity

Domain decomposition algorithm for solving problems of elasticity based on parallel computing is considered. The global system of equations for the entire domain is not formed and is represented by local matrices and vectors for subdomains using Boolean matrices of connectivity. The system of linear equations is solved by modified conjugate gradient method. The algorithm is implemented with C ++ using parallel MPI library. The results of testing proposed approach for modeling example are included.

## Nakamura’s technique and finite element method in solid amplitude-frequency response investigation

In order to confirm the possibility of using the method of Nakamura in the study of surface layers of unknown structure, the authors carried out a comparative analysis of solid amplitude-frequency response research by both of modified Nakamura’s technique and finite element method on the estimating dynamic characteristics of surface layers.

## Optimization of Puncheon’s Construction of the Technological Equipment Stamp

The analysis of the design and drawing punch, which provides flexible parts during it`s production stamping. Special attention is paid to the analysis of the punch options, which are the process of changing operating conditions. The construction of the punch, which maintains altered conditions was offered.

## Optimization of Microelectric Actuator Design Using Golden Section Search to Get the Defined Output Characteristics

The article presents an example of the usage of golden section search to select the comb length of MEMS el electro-actuator to get the desired displacement at a given voltage heating. The proposed solutions are implemented as software code in the ANSYS system.

## Layer and pore pressure assessment and prediction in the rock massif using numerical modeling

A method for estimating and predicting abnormal layer and pore pressure during drilling of oil and gas wells using finite element method is elaborated. Utilizing simulated stress-strain state of a real model of a massif it is shown the qualitative agreement of results with theoretical calculations. We identified evaluation and prediction of pore and layer pressures and reservoir in the rock massif.

## Computer simulation of measuring transducers used for diagnosis of icing in solidworks software package

There is a number of disadvantages in existing systems of diagnosing ice formation on overhead electric power distribution lines, under the conditions of climate change. In particular, they do not meet actual precision requirements. A 3D model of a measuring traducer being the part of an improved predictive diagnostic system was designed in the SolidWorks software environment.