HIGH-PRECISION CAM MANDRELS

Formulation of the problem. The urgency of the problem posed is the need to take into account the degree of intensity and quantitative study of dangerous atmospheric processes that cover large areas and cause significant economic damage to agriculture. When solving these questions it is necessary to have an objective estimation of different factors impact including weather and climate on the level of agricultural production. This will allow to assess various indicators of agro-meteorological conditions more reasonably in the estimation of the cereal harvest. Analysis of recent research and publications. The study of atmospheric processes and their effect on agricultural crops are devoted to in the works of V.V. Dokuchaev, P.I. Brоunоv, P.І. Kоlоskоv, G.Т. Sеlyaninov А.M. Аlpаtev S.А. Sаpоzhnikоvа, I.E. Buchinsky, N.B. Bova, V.A. Volevaha, V. Romushevich, Yu.І. Chirkоv, М.І. Budykо, А.R. Коnstаntіnоv, G.P. Dubinskiy. Formation of the purpose of the article. The article considers the questions of scientific research application and cartographical and mathematical methods. The following tasks are defined: to study the initial preconditions and methodological support in the study of this problem; to analyze the data of hydrometeorological service; to determine the empirical relationships of the spatial-temporal structure in the development of arid phenomena on the territory of Kharkiv region. Presentation of the main research material. In this paper, an attempt is made to use quantitative characteristics of environmentally hazardous atmospheric phenomena development for the analysis of their formation and influence on human economic activity. To do this, we used a cartographic and mathematical method of research. It consists in the fact that natural phenomena and, in particular, environmentally dangerous ones are placed on a map in the system of conditional signs and then are analyzed by methods of mathematical statistics, quantitative characteristics of the investigated phenomenon. The apparatus of mathematical statistics helps to solve probabilistic tasks of cartographic representation of natural phenomena, as well as to study various connections between natural phenomena reflected on maps, to measure and assess them. Involvement of the mathematical apparatus in the study of the cartographic image stems from the need for in-depth knowledge of the phenomena essence depicted in the maps. The study of natural phenomena without application of the map-mathematical method is considered to be one-sided since this does not take into account one of the important aspects of any study - quantitative relations and regularities. The result of the research is an analysis of statistical indicators of agricultural crops harvest and hydrometeorological conditions in Kharkiv region. Having analyzed these indicators, we determined that quantitative dependence of the crop on the number of dry days has a complex nonlinear multi-parameter appearance. At the same time, close connection between the harvest of corn and sugar beets with weather conditions was very significant, as indicated by the large correlation coefficient between them, equal to 0.87-0.90. We worked out a hypothesis about the form of functional dependence between these components. Using the mathematical modeling method to analyze the spatio-temporal structure of natural-anthropogenic phenomenon development allows us to unify the hydrometeorological characteristics. It can be used in different fields of science, in particular, in recreational geography. The apparatus of mathematical statistics helps to reliably solve the cartographic representation tasks of natural phenomena, as well as to study the versatile links between natural and anthropogenic objects, which are reflected on the maps, measure and estimate them. Conclusions. Cartographic and mathematical research method is an important component in the study of natural phenomena and processes and helps to solve probabilistic tasks of cartographic representation of natural phenomena, as well as to study the versatile relationships between natural phenomena reflected on maps, measure and quantitatively assess them.

Based on the field and lab measuerement in harvest time, Physical and mechanical properties of fritillaria ussuriensis maxim (FUM) are researched. Geometrical properties of FUM are analyzed using mathematical statistics method, and the variation sections of main index values of two kinds of FUM are obtained. Mechanical properties of FUM outsifting in screen penetrating process are tested by means of friction experiment, the friction coefficient and angle of repose of two kinds of FUM are obtained using mathematical statistics method. Grade sieve machine is designed based on the analysis of mechanophysical properties of FUM. The main parameters are: shape of sieve pore is rectangle, screen diameter is 20mm, sieve pore dimension of upper layer is 13×20mm2, middle layer is 9×18mm2, and under layer is 7×10mm2. By testing of friction coefficient and angle of repose and movement and dynamics analysis of grade sieve, outsifting velocity is 7<<9rad/s and acceleration is 4<a<13m/s2 in screening process.

There is justified in the article the importance of the need to improve physical education process for high school students with CrossFit tools.There have occurred positive changes in high school students’ dynamics in the EG in functional indicators and physical preparation in the experiment condition.The optimization of physical education process for high school pupils with CrossFit tools. There were observed the indicators of physical condition of organism, physical preparation and experimentally checked the effectiveness of the program with CrossFit tools implemented into physical education process. There were 63 pupils as participants in the research (boys, 16 years old). Analysis of literature sources, phyiological methods of research, pedagogical researches (control norms passing); pedagogical experiment; mathematical statistics methods. There is presented and scientifically justified program of CrossFit tools implementation into physical education lessons for high scool pupils. The content of progam includes combination of power and aerobic exercises, stretching, and exercises to restore breath and to relax muscles. The elaborated program is implemented into studying program and there was proved its effectiveness. The results of research have shown its positive impact on fucntional indicators and physical preparation of hish school pupils, that is proved by mathematical statistics methods.

Mathematical statistical method (MSM) is a very important wastewater treatment plant data processing analysis tool. In this study, MSM had been used to evaluate the efficiency, stability and reliability of the low-strengthen complex wastewater treatment system. Results showed that while LSCWWTs upgrading in the future, each influent parameter could be set as the follows: COD = 738 mg/L, BOD = 300 mg/L, SS = 454 mg/L, TN = 64.3 mg/L, NH3-N = 65.2 mg/L and TP = 7.65 mg/L. For effluent of LSCWWTs, the stabilities of COD, BOD, SS and TN were all A, TP was B, and NH3-N was D. For effluent COD, TN and NH3-N reached the first class discharge standard of A, the reliability probabilities were 83.89%, 80.23% and 99.43%, respectively. And the reliability probabilities of effluent WQPs reached the first class discharge standard of B were all more than 98%.

In this work, we use Hidden Markov Models (HMM), Conditional Random Field (CRF), Gaussian Mixture Models (GMM) and Mathematical Methods of Statistics (MMS) for Chinese and Japanese text summarization. The purpose of this work is to study the applicability of mentioned three trainable models for cross-language text summarization. For model training, we use several training features such as sentence position, sentence centrality, number of Name Entity and so on. For model testing, Chinese on-line news and Japanese news are used as test data which are extracted from web pages. We evaluate each model by measuring the precision at the compression rate 10%, 20% and 30%. MMS is a baseline method. The results show that HMM, CRF and GMM have remarkable increases than MMS on both Chinese and Japanese text summarization by using the same training features. Especially, GMM model make a best performance in all tests.

Abstract. A significant part of the loss of live cargo (poultry) occurs in the process of its transportation by road to the processing plant. Currently, there are no studies of the factors that determine these losses, a mathematical model for optimizing the density of live cargo placement in a transport container, a method for managing delays at various stages of transportation, taking into account the structure of a modern poultry complex and the level of automation of its communication systems. In this regard, it can be argued that the purpose of this study, which is to increase the efficiency of transportation of live cargo by road by controlling the duration of transportation operations and optimizing the density of placement of live cargo in a transport container, is aimed at solving an urgent scientific and practical problem. Theoretical studies are carried out on the basis of the analysis of scientific and regulatory and technical literature, the legal framework, systemic, statistical, factorial and technical and economic analysis, mathematical modeling of the transport process. Experimental studies were carried out in the conditions of an operating enterprise using the methods of mathematical statistics, computer modeling, field observations. The main results that have scientific novelty are: the dependence of the losses of the transported cargo on delays in loading, moving and unloading the poultry carrier, taking into account the effective ambient temperature and the specific properties of the cargo; mathematical model for optimizing the density of placement of live cargo in a transport container; a method for managing delays at various stages of the transportation of live cargo by road. Further research is supposed to be carried out in the direction of the development of intellectual support for the management of transportation, both of live poultry within the boundaries of the enterprise, and of finished products.

Purpose: on the basis of the developed models of psychophysiological indicators, to establish evaluation criteria of sensorimotor reactions and specific perceptions for qualified judokas. Material and methods. The following methods were used: analysis of scientific and methodological information and the Internet, generalization of best practical experience; psychophysiological research methods; methods of mathematical statistics. 18 qualified judokas (10 athletes from KMSU and 8 athletes from MSU), aged 21,00±1,29 years, took part in the research. Assessment of psychophysiological indicators was carried out using a complex of tests developed for tablet personal computers. For the convenience of the research, all tests were divided into three groups: assessment of simple sensorimotor reactions; assessment of complex sensorimotor reactions; assessment of specific perceptions. Results: the analysis of scientific and methodical literature, the Internet and the generalization of best practical experience made it possible to establish that training and competitive activities in martial arts contribute to the formation of a whole complex of specific reactions and perceptions in athletes. It is based on the threshold of perception of stimuli, which are composed of different sensory systems. The main role is played by the levels of muscle-motor, visual, vestibular and auditory sensations. The higher the level of sportsmanship of the athlete, the higher the level of importance of psychophysiological functions to achieve a competitive result. In the course of the study, the results of psychophysiological indicators were obtained in the following tests: «Simple motor skills and resistance to distracting factors», «Simple visual-motor reaction», «Simple auditory-motor reaction», «Reaction of choosing from static objects», «Reaction of discrimination», «Reaction to a moving object», «Reaction of selection from dynamic objects», «Evaluation of the sense of tempo», «Evaluation of accuracy and speed when reproducing a given line», «Evaluation of perception of a change in size object»). Conclusions. Based on the obtained results, models of psychophysiological indicators were developed, which made it possible to establish evaluation criteria of sensorimotor reactions and specific perceptions for qualified judokas. It was established that the specifics of the competitive activity of martial artists leaves its mark on the level of development of the leading psychophysiological qualities that ensure high sports achievements in the chosen type of martial arts. Keywords: modeling, psychophysiological indicators, judo, qualified athletes.

The demand for robotic systems employing composite materials is steadily improving due to their high bending stiffness, favorable strength-to-weight ratio, and durability under dynamic loading. It is still challenging to guarantee dynamic stability and precise frequency response in composite robotic components. This study addresses these issues by conducting a simulation-based 3D bending analysis and frequency response modeling of carbon/epoxy and carbon/PPS composites under sinusoidal loading. The remarkable mechanical and thermal properties of carbon/epoxy and carbon/PPS composites, such as their high specific strength, stiffness, and excellent fatigue resistance, align well with the requirements of robotic systems. The model comparison involved analyzing three-dimensional bending stresses, displacements, and free vibration dynamics for both materials under a sinusoidal load applied to their inner surfaces. The sinusoidal load was selected to simulate periodic dynamic forces commonly encountered in robotic applications, such as oscillating arms, vibrating components, and cyclic loading during operation. The thick shell (S=4) of axial length (L=4S) and circumferential span (α=45°) comprises cross-ply laminate [90°/0°/90°] with supported boundary conditions. The transverse displacement of the carbon PPS composite cylindrical shell was 0.719 nm, which was lower than that of the carbon epoxy composite (0.746 nm). The same behavior was observed for the stress values. Conversely, the PPS composite cylindrical shell yielded a higher natural frequency. The obtained eigenvalues indicated a similar behavior when comparing the shape modes with a relative increase in their values in the carbon PPS composite.

The general characteristics of eight fabric groups as measured by the KES-F system are described. These fabric groups are divided by fibre content, fabric construction and special finishing treatment. Using silk fabric as a reference, caustic-reduced polyester fabrics exhibit strong silk-like characteristics except in their surface properties. Liquid ammonia-treated cotton fabrics also possess a certain silky hand. Micro-fibre fabrics are soft and smooth, but they do not have the high Kishimi hand which is typical of silk fabrics. Fabric construction has some influence on fabric stiffness, but not on hysteresis. Polyester-lining fabrics have high bending stiffness and polyester/cotton fabrics have very high shear stiffness and hysteresis. These two groups of fabrics are the least silk-like. Shear properties and bending hysteresis appear to be the most important factors affecting the hand of the fabrics studied.

NC machine plays an irreplaceable role in the modern manufacturing because of its high machining processing accuracy, quality stable, flexibility. Through using the Renishaw ML10 laser interferometer detect the positioning accuracy and repositioning accuracy of X axis and Z axis of the HTC20 series of NC machine tools. According to the detection result compensate NC system to meet the machining accuracy requirement. The result shows that the error compensation of NC system is a effective method to improve the position accuracy of NC machine.

The analysis of scientific and methodological literature showed that the practice of adaptive physical education in specialized schools requires computer technology to control children’s motorics, as physical education can succeed only in the case of individualization, strict adequacy of personal and functional characteristics of a child with disabilities. The purpose of the study is to develop software for computer monitoring of motorics of primary school children with hearing impairments. Material and methods: generalization of data of scientific and methodical literature and experience of best practice, biomechanical video computer analysis, pedagogical testing, pedagogical experiment, methods of mathematical statistics. Testing of biomechanical characteristics of 59 schoolchildren of 7–10 years of Kyiv special boarding school № 9 for children with hearing impairment and 111 healthy children of 7–10 years of Kyiv secondary school № 229 was carried out. “BioVideo” software was developed to determine the biomechanical characteristics of human motor function based on the registration (video recording) of motor action by a digital camera. The “BioVideo” software is designed to obtain kinematic and dynamic characteristics, as well as to build biokinematical schemes of motor actions of junior schoolchildren with hearing deprivation according to the videogram. Biomechanical phase analysis of biokinematical characteristics of the even-rhythmic test exercise in the frontal plane, performed with the help of “BioVideo” software, allowed to quantify such relatively independent types of coordination abilities as sense of rhythm and orientation in junior schoolchildren with hearing deprivation. The use of software for computer monitoring of motorics of primary school children with hearing deprivation is substantiated, which allows to carry out objective control of their physical development and physical fitness, based on the results to intensify the process of physical education, differentiate and individualize physical education programs, automate analysis and evaluation received data.

Viscosity is used for calculation of settlements and deformations of frozen loamy soils and ice caused by viscous flow at constant speed under action of long-term loads. A method for determining the viscosity coefficient of frozen loamy soil by CPT was developed. Experimental studies by CPT were carried out in a quasi-static mode (a series of short tests at low well-controlled speeds) and in a step-increasing relaxation-creeping mode (a series of penetrometer stabilizations in which the penetrometer and the speed of its penetration gradually decreased). Comparative data «unit cone resistance qc – velocity of penetration vc » were analyzed using mathematical statistics methods. For frozen loamy soil, a generalized regression equation qc = M(vc)m was established. Parameters M and m are calculated based on empiric equations, depending on the soil temperature. Viscosity values obtained by uniaxial compression CPT were compared. As a result of statistical analysis, an empirical transition coefficient between them was established.

A new concept for large size, complex geometry high field superconducting (SC) magnets has been proposed. According to the approach, a coil is comprised of plane helical turns with insulating layers between them. In this paper, the term “superconducting plane-turns helical magnet” or “helicoid” is often substituted by “plane-turns magnet” or “plane-turns coil” in order to avoid possible interpretation as the well-known fusion magnetic confinement scheme “helical devices.” The following advantages of these magnets over traditional ones are outlined for fusion applications: high bending stiffness, optimal current distribution, favorable high current design, and the possible utilization of brittle materials such as ceramics (HTc superconductors, insulators of high radiation tolerance). Some limitations resulting from hysteresis losses restrict the range of application by stationary mode magnetic systems. It is shown that these limitations aren't so severe for toroidal coils and that poloidal fields slightly affect operating characteristics, thus the design seems to be attractable for tokamaks. Brief theoretical and experimental foundation as well as some consideration on conceptual plane-turns SC coil for fusion are presented.

Detumbling manipulation to capture a noncooperative space satellite using a brush type contactor is getting more and more attention due to its lower cost and easy implementation. It is important to evaluate the effects of various modal parameters on the detumbling efficiency, including the design of the brush contactor and the manipulation schemes. In this study, a simplified planar multibody dynamic model is established to estimate the detumbling efficiency. An analytical formula is proposed based on some assumptions from the aspect of energy. Several model parameters are considered in the formula including the brush's bending stiffness and length, the contact position and angle. Concerning the numerical strategies, the planar corotational beam element is adopted to discretize the brush contactor undergoing large displacement and large rotations while the motion of the solar panel undergoing small deformation is modelled by the floating frame of reference formulation. The contact force between the brush contactor and the solar panel is described by the Hertz contact law. The results show that the analytical formula can give a rough estimation to the reduced kinetic energy even if dumping forces are considered. It can be found that a short brush contactor with high bending stiffness can improve the detumbling efficiency. Moreover, touching the solar panel near the root of the brush contactor and maintaining a small contact angle are both efficient manipulations.

In this paper, the effect of a combinatorial lateral resisting system, composed of special truss moment frame (STMF) and outriggers, on the behavior of tall buildings is investigated. Outriggers in conjunction with STMFs form an effective system with a great stiffness as well as strength. The STMFs are efficient in controlling the lateral shear displacement, and the outrigger has a high bending stiffness. Therefore, the combination of these two systems presents an excellent system to reduce both the shear and bending displacements. In addition, damage is confined in the expected elements not carrying out gravity loads. Linear and nonlinear analyses were performed for 10, 20, and 40 stories with different systems in order to estimate the efficiency of the presented combined system. The results indicated that the proposed system has a much better performance than special moment frame system in both linear and nonlinear regimes. According to the results, the combined system reduced the drift ratios as well as increasing ultimate lateral strength. In addition, the energy absorption of the proposed system is increased more than 48% that is a valuable achievement.