Construction of conical axoids on the basis of congruent spherical ellipses

Purpose: To carry out the transition from a cylindrical gear in which the centroids are congruent ellipses with centres of rotation in the foci, to a bevel gear on the basic of congruent spherical ellipses. Design/methodology/approach: Congruent ellipses with centres of rotation in the foci serve as centroids for the design of cylindrical gears with non-circular wheels. The article analytically shows that the analogues of ellipses on the plane - congruent spherical ellipses are the basis for the construction of the axoids of the corresponding bevel gears. An analogue of the centre-to-centre distance for ellipses in the plane is the angle between the axes of rotation of conical axoids. Findings: Based on the equality of the arcs of ellipses, the dependence of the angle of rotation of one axoid on the angle of rotation of another is found. Graphs of this dependence for separate cases are given. It is shown under what conditions the axes of axoids intersect at right angle. The parametric equations of spherical ellipses and corresponding axoids are given. They were used to construct spherical ellipses and corresponding conical axoids for different cases. For gears with right angle between the axes, separate positions of the axoids with different angles of their rotation around their axes are constructed. Practical implications: Spherical ellipses are directing curves for the construction of the corresponding conical axoids. Originality/value: The paper shows that congruent spherical ellipses act as centroids for the design of axoids of bevel gears. They roll one by one without sliding, rotating around axes that intersect in the centre of the sphere. To design such gears, it is important to know the interdependence between the geometric parameters, especially for common gears with a right angle between the axes.

"ANTI-HALOGEN" BONDS AS A FACTOR DETERMINING THE TETRAHEDRAL STRUCTURE OF COPPER IN ITS COMPLEXES WITH (5Z, 5'Z)-2,2'- (ETHANE-1,2-DIYLDISULFANYLDIYL)BIS(5-(2-PYRIDYLMETHYLENE)-3-ALLYL-3,5-DIHYDRO- 4H-IMIDAZOLE-4-ONE)

Analysis of the valence angles of the Si and carbon atoms of the C-S bond in the obtained complexes of CiVg2 c (5Z, 5'Z)-2,2’-(ethane-1,2-diyldisulfanyldiyl)bis(5-(2-pyridylmethylene)-3-allyl-3,5-dihydro-4Нimidazole-4-one) unambiguously indicates the determinant effect of the non-valent interactions of the electron density centroids of the NEP of bromine atoms and sulfur atoms, leading to a change in the plane structure of Cu(II) towards tetrahedral with a likely change in the magnetochemical properties of the copper atom, and the angle of rotation of the planes is almost 900. This interaction is the opposite of what is commonly called a halogen bond. In this case, it is an "anti-halogen" bond.

Procedure for selecting optimal geometric parameters of the rotor for a traction non-partitioned permanent magnet-assisted synchronous reluctance motor

This paper reports the construction of a mathematical model for determining the electromagnetic momentum of a synchronous reluctance motor with non-partitioned permanent magnets. Underlying it is the calculation of the engine magnetic field using the finite-element method in the flat-parallel problem statement. The model has been implemented in the FEMM finite-element analysis environment. The model makes it possible to determine the engine's electromagnetic momentum for various rotor geometries. The problem of conditional optimization of the synchronous reluctance motor rotor was stated on the basis of the rotor geometric criteria. As an analysis problem, it is proposed to use a mathematical model of the engine's magnetic field. Constraints for geometric and strength indicators have been defined. The Nelder-Mead method was chosen as the optimization technique. The synthesis of geometrical parameters of the synchronous reluctance motor rotor with non-partitioned permanent magnets has been proposed on the basis of solving the problem of conditional optimization. The restrictions that are imposed on optimization parameters have been defined. Based on the study results, the dependence of limiting the angle of rotation of the magnet was established on the basis of strength calculations. According to the calculation results based on the proposed procedure, it is determined that the optimal distance from the interpole axis and the angle of rotation of magnets is at a limit established by the strength of the rotor structure. Based on the calculations, the value of the objective function decreased by 24.4 % (from −847 Nm to −1054 Nm), which makes it possible to significantly increase the electromagnetic momentum only with the help of the optimal arrangement of magnets on the engine rotor. The results of solving the problem of synthesizing the rotor parameters for a trolleybus traction motor helped determine the optimal geometrical parameters for arranging permanent magnets.

CONSTRUCTION OF ROTOR ANGLE IDENTIFIER IN VECTOR CONTROL SYSTEMS OF DOUBLE FEED MACHINES

In asynchronous electric drives with vector control on the rotor, it is necessary to calculate the value of the sine and cosine of the angle of rotation of the rotor relative to the stator to form control actions. When using angle sensors, complex structural tasks can arise — placement and reliable mounting of the sensor on the shaft and, accordingly, the task of the overall layout of the unit. For high-power machines, the tasks of developing and creating the design of the sensor itself arise. If serial rotor angular position sensors can be used, the task of placing and mounting the sensor is no less difficult. In these cases it is necessary to deduce the second end of a shaft from the case of the engine with contact rings that complicates its design. Therefore, the urgent need to create more reliable electric drives with vector control systems on the rotor is the synthesis of identifiers of the angle of rotation of the rotor. Identifiers are known whose calculation algorithms are based on determining the projections of the flow coupling vectors. In the work with the use of coordinate transducers of projections of stator or rotor current vectors and equations of electromagnetic circuits of an asynchronous machine, the synthesis and subsequent analysis of the properties of the rotor position angle identifier in vector control systems of dual power machines is performed. New equations of the identifier of flux couplings are received, its stability is investigated and on conditions of stability types of electric drives in which it is possible to apply the offered identifier are defined. The stability of the vector control system and sufficient identification accuracy when using the proposed equations and functions are confirmed by the method of mathematical modeling of the recommended electric drive systems in different operating modes.

Modeling and visualizing of the formation of a snub dodecahedron in the AutoCAD system

The article is devoted to modeling and visualization of the formation of flat-nosed (snub-nosed) dodecahedron (snub dodecahedron). The purpose of the research is to model the snub dodecahedron (flat-nosed dodecahedron) and visualize the process of its formation. The formation of the faces of the flat-nosed dodecahedron consists in the truncation of the edges and vertices of the Platonic dodecahedron with the subsequent rotation of the new faces around their centers. The values of the truncation of the dodecahedron edges, the angle of rotation of the faces and the length of the edge of the flat-nosed dodecahedron are the parameters of three equations composed as the distances between the vertices of triangles located between the faces of the snub dodecahedron. The solution of these equations was carried out by the method of successive approximations. The results of the calculations were used to create an electronic model of the flat-nosed dodecahedron and visualize its formation. The task was generally achieved in the AutoCAD system using programs in the AutoLISP language. Software has been created for calculating the parameters of modeling a snub dodecahedron and visualizing its formation.

Development of Wireless Technique to Regulate Seed Dropping in a Seeder for Intercropping

Although intercropping gives additional yield per unit area than sole cropping, yield may also decrease as the crops differ in their competitive abilities. To avoid competition and to accompany complimentary action between the base crop and inter crop in intercropping practise, proper crop ratio of two crops should be maintained. When sowing with available seeders crop ratio was not maintained because of non-availability of a seed hopper, handling two different varieties of seeds and the un controlled seed flow from the hopper to the seed tube when ground wheel is rotating. To look after this problem an experiment was conducted at DFMPE, AEC & RI, Tamil Nadu Agricultural University, Kumulur by fabricating a seed hopper consisting of two compartments and circular shaped outlet for two variety of seeds and developing an RF (radio frequency) wireless technology to control servo motor in order to restrict the seed drop from seed hopper to the seed tube even though ground wheel is in running condition. In this paper considering a seven-row seeder, the performance of a micro controller coded with appropriate programme in embedded C language which can regulate seven servo motors each at seven seed hoppers, functioning of RF transmitter sketch, functioning of RF receiver sketch, header issue & its solution, angle conversion of servo shaft and power consumption was observed and discussed. Total power required for operating RF electronic setup containing seven servomotors was recorded as 5 V 12 A. The angle of rotation of servo motor shaft was from 0º to 165º when pulse width range in micro controller was set from 0 and 2400 micro seconds. The servo did not respond in the hardware interfacing because both the libraries use timer 1 interrupt which created an error issue. In order to overcome that “Servo timer 2.h” header was issued instead of servo.h. Then sketch was compiled and was executed successfully.

The ability of natural gas to reduce soot content in diesel exhaust gases

In accordance with the priority directions of development of the motor transport complex of the RF, the use of NGV fuel in transport should expand and by 2035 reach 50% of the total number of trucks and buses in large cities. This is due to a number of factors. The paper presents the results of studies confirming the effectiveness of using natural gas to reduce soot emissions with exhaust gases. In particular, the dynamics of the formation and burnout of soot particles by the angle of rotation of the crankshaft at the working operating mode is considered.

Torsional stability of thin-walled cylindrical shells filled with free-flowing aggregate

Экспериментами изучено влияние сыпучего заполнителя на устойчивость при кручении тонкостенных цилиндрических оболочек. Для исследования образцы изготавливались из алюминиевого сплава 3004 глубокой вытяжкой в матрице. Образцы закреплялись консольно к жесткой стенке, на свободный конец прикладывался крутящий момент. Испытывались пустые и заполненные железным порошком образцы. Нагружение образцов выполнялось ступенчато, порциями по 10Н вначале и при приближении к моменту потери устойчивости по 1Н, 0,5Н. На каждой ступени нагружения фиксировались крутящий момент и угол поворота свободного конца образца. Построены графики зависимости угла поворота от крутящего момента. Устойчивость образцов терялась в упругости. Вначале нагружения, на заполненных сыпучим заполнителем образцах, не происходит поворот сечений из-за препятствия сил трения заполнителя. Железный порошок увеличивает значение критического крутящего момента на 20-30%. Experiments have studied the effect of free-flowing aggregate on torsional stability of thin-walled cylindrical shells. For research samples were made of aluminum alloy 3004 deep hood in the matrix. The samples were fixed cantilever to a rigid wall, on torque was applied to the free end. Tested empty and samples filled with iron powder. The loading of the samples was carried out stepwise, in portions of 10N at the beginning and when approaching the moment of loss stability of 1H, 0.5H. At each loading stage, torque and angle of rotation of the free end of the sample. Graphs built the dependence of the angle of rotation on the torque. Stability of samples lost in elasticity. At the beginning of loading, on filled with bulk filler in samples, no rotation of sections occurs due to obstacle forces friction of the aggregate. Iron powder increases the critical value of torque by 20-30 %.

Soft Elastomeric Capacitor for Angular Rotation Sensing in Steel Components

The authors have previously proposed corrugated soft elastomeric capacitors (cSEC) to create ultra compliant scalable strain gauges. The cSEC technology has been successfully demonstrated in engineering and biomechanical applications for in-plane strain measurements. This study extends work on the cSEC to evaluate its performance at measuring angular rotation when installed folded at the junction of two plates. The objective is to characterize the sensor’s electromechanical behavior anticipating applications to the monitoring of welded connections in steel components. To do so, an electromechanical model that maps the cSEC signal to bending strain induced by angular rotation is derived and adjusted using a validated finite element model. Given the difficulty in mapping strain measurements to rotation, an algorithm termed angular rotation index (ARI) is formulated to link measurements to angular rotation directly. Experimental work is conducted on a hollow structural section (HSS) steel specimen equipped with cSECs subjected to compression to generate angular rotations at the corners within the cross-section. Results confirm that the cSEC is capable of tracking angular rotation-induced bending strain linearly, however with accuracy levels significantly lower than found over flat configurations. Nevertheless, measurements were mapped to angular rotations using the ARI, and it was found that the ARI mapped linearly to the angle of rotation, with an accuracy of 0.416∘.

Asymptotic research of deformations and stresses of the ring that sustains the seam of elliptic bottom and conic shell

In the paper, we consider stress-deformed state of elastic system that consists of the elliptic bottom, the ring, and the conic shell. The ring is under arbitrary load, which acts in its plane.On the base of the principal differential dependencies of design of the planar circular ring, we obtain the expressions for tensions, momentum, and the angle of rotation of lateral section.