### IMBALANCE OF ELECTRON-BEAM ENERGY IN INDUCTION CYCLIC ACCELERATOR

Under inductive cyclic acceleration of charged particles the beam current of which exceeds several hundred amperes, a large amount of energy is accumulated in its electromagnetic field. These results in energy imbalance, i.e. inconsistency between energy received by the electron beam from betatron’s eddy electric field and energy required for the electron beam to stably move along the equilibrium orbit. This is one of the reasons for beam instability and large loss of accelerated particle charge. Thus, the paper presents an estimation of the occurred imbalance degree and considers possibilities of eliminating its negative effect on the process of acceleration.

Read More### LOW-FREQUENCY MAGNETOELECTRIC EFFECT IN A TWO-LAYER MAGNETOSTRICTIVE-PIEZOELECTRIC STRUCTURE

The study presents a theory of the magnetoelectric effect in a two-layer magnetostrictive and piezoelectric structure of magnetic and piezoelectric materials in the low-frequency region of the spectrum. Based on the solution of the equations of the theory of elasticity and electrostatics, a simple expression for the magnetoelectric stress coefficient is obtained via the physical parameters of the material and the geometric characteristics of the structure. The study examines the contribution to the value of the effect caused by flexion strain and planar deformations. It is shown that the contribution from planar deformations to the value of the effect significantly exceeds the value of the contribution from flexion strains. The authors demonstrate the calculation results for the nickel – lead zirconate titanate and permendur – lead zirconate titanate structures.

Read More### ALTERNATIVES TO THE EGOROV’S AND KOBAYASHI’S THEOREMS ON COMPLETE AFFINE CONNECTIONS

The article concludes the research of completeness of the symmetry and geodesic flow of affine connections. The study aims to find and describe linear spaces over complete fields on the tangent bundle. The article verifies 3 new results. The developed theorems are alternatives to the Kobayashi’s theorem on complete affine connections. The study examines a metric situation (theorem 7) and an affine situation (theorem 8). The article verifies an alternative to the Egorov’s lacunarity in complete manifold dimensions. The paper verifies the evaluation of dimension borders of the first-order complete field which allows completeness of the connection itself (theorem 10). The article suggests a scheme of obtaining an alternative evaluation of higher order complete field dimension borders. The study sets up the ways of further research. The results could be used to classify the affine connections that accept extensive symmetry algebras of the geodesic flow.

Read More### TRACKING SYSTEM BASED ON IR SENSOR CONTROLLED BY ATMEGA16 MICROCONTROLLER

In this article will be described the tracking system implementation based on infrared distance sensor SHARP GP2Y0A02 controlled by microcontroller Atmega16. This system is a essential part of the various robotic systems (various platforms) used for targeting and for tracking other objects.

Read More### DEVELOPMENT OF TECHNOLOGY OF PLASMA SPRAYING OF PROTECTIVE COATINGS, MULTIPURPOSE

The article presents the main results of researches concerning application of parts of ship’s auxiliary engines abrasion persistent and cavitation-resistant plasma coatings own developments. The article also describes the rationale and practical developments for deposition of anti-fouling plasma coatings on the deepest parts of the courts. It is shown that the application of such coatings allows 2-3 times reduce the docking of vessels for purification of products of corrosion and fouling. This dramatically increases the economic efficiency of shipbuilding operation.

Read More### OPTIMUM RELATIONSHIP BETWEEN THE THICKNESSES OF THE LAYERS FOR ASYMMETRIC THREE-LAYERED MAGNETOSTRICTIVE-PIEZOELECTRIC STRUCTURE

The current study examines the magnetoelectric effect in the three-layer magnetostrictive- piezoelectric magnetic-piezoelectric-magnetic material structure with opposite signs of magnetostriction of magnetic materials caused by flexural strain. The study demonstrates that the efficiency of the magnetoelectric transformation of the structure depends on the ratio of the thickness of the layers of magnetic and piezoelectric materials. The maximum conversion efficiency is achieved when the neutral line coincides with the interface between the piezoelectric and the magnetic materials. The research obtains the ratio between the layer thicknesses to achieve the maximum effect value. It is shown that the magnetoelectric coefficient can change the sign depending on the ratio of the thickness of the layers.

Read More### GEOMETRY OF WILD KNOTS AND WILD BRAIDS IN THREE-DIMENSIONAL WEBLIKE SPACE

This article describes an original method for constructing an analog of Antoine’s necklace in the vicinity of empty dots on the minimal surface of helixes of bent wild knots by means of knotted looping of 1-handles and the chaos probability measures with Hausdorff dimension that are related to the entire set of observed events in the entire direction of three-dimensional weblike space. In order to explore the pathological properties and helicoidal structures of bent wild knots and braids and to identify the features of the topological carpet, the study for the first time applies the method of “lattice with helical curvature” and demonstrates the distinct prospects for its further development.

Read More### ON NON-EQUILIBRIUM THERMORHEODYNAMICS OF THE MEDIA OF VARIABLE MICROSTRUCTURE

The current study obtains the regularities and analyzes and the influence of the variable of intermolecular orientation and intramolecular relaxation microstructures of the media class and their base flows on the kinematic and dynamic characteristics of the flow. For a medium with a relaxation internal microstructure, the study distinguishes a range of the numbers De and We, in the region of which the dissipative flows are not solely determined by the gradient of the corresponding streaming potential as for a medium with an orientational microstructure, they are solutions of the evolution equation for the internal parameter of the medium. The equation allows for a description of the process of relaxation of thermorheodynamic parameters to their instantaneous and local equilibrium values.

Read More### ON THE EFFECT OF NONLINEARITY TYPES ON THE RESULTS OF STUDYING THE SYNCHRONIZATION OF QUASI-HARMONIC OSCILLATOR VIA APPROXIMATE POINT MAPPING

At present, there is no particular need to justify the importance of oscillatory processes in modern physics and natural science. The apparatus of the theory of differential equations is a recognized tool for studying oscillatory processes in various branches of physics and engineering. Naturally, oscillatory systems with low nonlinearity are the most accessible for research and in so far, the study of systems close to the harmonic oscillator (quasi-harmonic oscillator) presents particular interest. The article explores the possibility of reducing the problem of studying the synchronization of a quasi-harmonic oscillator to the study of the Poincare functions of a point map, which is constructed using the method of successive approximation. The article concludes that the results of the study of the system as a whole depend on the type of nonlinearity.

Read More### BOUNDARY LINES OF ANALYTIC FUNCTIONS WITH A PARAMETER

The study of various processes (electric and magnetic fields, the flow of air and liquids, quantum physics, etc.) comes down to the study of analytical functions of a complex variable. The subject of research is the analytic functions of a complex variable with a parameter. The research introduces the concepts of boundary, regular, and singular points for such classes of functions and defines the following concepts: singular, regular, and boundary regions. Using the topological approach, the study broadens the concept of a boundary line. The study selects the main boundary line from the set of boundary lines. The examples illustrate the topology and various forms of the main boundary lines (closed, spider-like, with a punctured point, a countable amount) as well as the structure of the boundary area. As shown in the examples throughout, it is impossible to determine the shape of the main boundary lines for the general case, therefore each case must be considered separately.

Read More### A THEORETICAL INVESTIGATION OF THE FINE STRUCTURE OF THE 42P AND 42D ENERGY LEVELS FOR THE GALLIUM ISOELECTRONIC SEQUENCE

The fine structure of the 4s24p 2P and 4s24d 2D energy levels for 50 ions of the gallium isoelectronic sequence has been investigated on the basis of previously calculated Dirac-Fock energies. There is smooth monotonous variation of the fine structure splitting along the isoelectronic sequence in the case of 42P levels, but in the case of 42D levels the same variation is rapid and irregular. It indicates that there is no substantial interaction of levels in the case of 42P levels and that the 42D levels are strongly perturbed. The allowance for 4s4p2 configuration superposition leads, as a rule, to a satisfactory agreement between the theoretical and experimental results.

Read More### USING VBA EXCEL FUNCTIONS IN ANALYTICAL GEOMETRY

The article contains the software codes of two VBA Excel custom functions. The first function finds either the coordinates of the point of intersection of two straight planes, or the tangent of the angle between them, or the slope of the straight line, in which a ray of light, while moving along the first straight line, moves after the reflection from the second line. The second function finds either the distance between intersecting lines, or the coordinates of the point, through which passes the common perpendicular of the intersecting lines, or the guiding vector of their common perpendicular, or the parametric equations of their common perpendicular, or the distance from a given point of the first straight line to the second straight line. All calculations are performed online and do not require Excel worksheet data. The application of the developed custom functions is demonstrated through specific tasks.

Read More### ALGORITHMS FOR CALCULATING THE SIMULATED HEAT TRANSFER PROCESSES IN CONCRETE AND REINFORCED CONCRETE STRUCTURES WHEN EXPOSED TO HIGH TEMPERATURE

The article considers the algorithm of the calculation process of heating the surface of the concrete and reinforced concrete structures when exposed to elevated temperatures, the algorithm for calculating the distribution process temperature of concrete when heated.

Read More### SPECTRAL ANALYSIS OF THE IMAGE OF THE AMORPHOUS ALLOY NANOSTRUCTURES

This paper we discuss methods of spectral analysis and filtering of electron microscopic images of nanostructures in amorphous alloys. Besides we consider the spectral characteristics evaluation method of objects nanostructures image.

Read More### ABC-ANALYSIS FOR SOLVING ENGINEERING PLANNING AND FORECASTING PROBLEMS

The article is devoted to the application of ABC analysis for solving engineering problems. The object of study is the range of agricultural machinery. The practice presents physico-mathematical models improves the quality of training technical direction.

Read More### ESTIMATES FOR THE SOLUTION IN С0(S12) METRIC OF A QUASILINEAR EQUATION OF GENERAL FORM

The questions of the existence and uniqueness of regular surfaces with the given geometric characteristics in one or another space are analytically equivalent to considering and investigating the unique solvability of partial differential equations on one or another manifold. The paper provides a proof that a priori estimates for the solution of a generalized quasilinear equation on the unit sphere S12 exist. It also considers special cases of a generalized quasilinear equation related to geometric problems.

Read More### ESTIMATION OF THE LEVEL OF DISPERSION IN OPTICAL CABLES IN CONDUCTING THE INPUT CONTROL USING A HOLOGRAPHIC INTERFEROMETER

In conducting incoming control, the analysis of the quality of an optical fiber can be carried out only by assessing the level of dispersion in the optical fiber, therefore, the task of accurately measuring the level of dispersion is the most important. Currently, the level of dispersion of the signal in an optical fiber is estimated on a section of this fiber using a laser emitter that emits a luminous flux of a known intensity and measuring the power of the optical signal at the input and output of the fiber using special devices (for example, a reflector). The holographic interferometer developed by the authors makes it possible to analyze optical fiber more accurate at the lowest cost and, when analyzing on a functioning connection line without significantly increasing its mass-dimensional characteristics.

Read More### ELECTRIC FIELD SIMULATION NEAR METAL NANOPARTICLES

This paper presents the results of studies on the application of the finite difference time domain (FDTD) method for mathematical modeling of disturbances in the electric field strength near gold nanoparticles (NPs) of varying size under irradiation with different excitation wavelengths λ = 532, λ = 632, λ = 785 nm. The authors consider several types of gold NPs differing in size. The values of the maximum electric field value near the particle surface are calculated. These results can be used in the future to simulate multilayer and gold-core nanostructure-optical sensors implemented based on the effect of giant Raman scattering of light, used for the analysis of chemical compounds in low concentrations, macroscopic biological objects.

Read More### SIMULATION OF ELECTRONIC TRANSFER SPATIAL CHARACTERISTICS IN FLASH MEMORY ELEMENTS

Based on the kinetic Monte Carlo method, a numerical simulation of electron transport in silicon short-channel floating-gate MOS transistors, which are the basic element of modern flash memory chips, is performed. This simulation is used to calculate the effect of the gate voltage on the relative value of the tunnel parasitic current that occurs on a floating gate, as well as the average energy and mobility of electrons in the conducting channel of these transistors at different drain voltages. It is shown that for the studied conditions, this effect is significant in the middle section of the conducting channel of the transistor and decreases at the source and drain junctions of the device.

Read More### SOLVING THE INVERSE MIXED BOUNDARY VALUE PROBLEM OF LATTICE FLUID DYNAMICS

The authors consider the inverse mixed boundary value problem of lattice fluid dynamics, in which we need to find the shape of a part of the lattice profile through the velocity distribution given for this part and the velocity distribution on the rest known part of the lattice profile, which is streamlined by a potential flow of ideal frictionless liquid. The authors delve into the case when the required profile is close to the profile of a known lattice with a known flow complex potential. It is assumed that the known part of the lower surface of the profile, except for its plot adjacent to the nose profile, and the form of the rest of the investigated profile is sought, through the distribution of velocity as a function of the arc abscissa of the point of the required profile. We obtained formulas giving a solution to the problem. In the process of solving the problem, the lattice period and the flow velocity streamlining the lattice are determined.

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