{"title":"Comparison of the Lagrange Multipliers Function Approximation Methods in Solving Contact Problems by the Independent Contact Boundary Technique","authors":"M. Galanin, V. Lukin, P. V. Solomentseva","doi":"10.18698/1812-3368-2022-6-17-32","DOIUrl":"https://doi.org/10.18698/1812-3368-2022-6-17-32","url":null,"abstract":"The paper considers the contact problem of the elasticity theory in a static spatial two-dimensional formulation without considering friction. For discretization of the elasticity theory equations, the finite element method was introduced using a triangular unstructured grid and linear and quadratic basis functions. To account for the contact boundary conditions, a modified method of Lagrange multipliers with independent contact boundary is proposed. This method implies the ability to construct a contact boundary with the smoothness degree required for the solution precision and to execute approximation of the Lagrange multiplier function independent of the grids inside the contacting bodies. Various types of the Lagrange multiplier function approximations were studied, including piecewise constant, continuous piecewise linear functions and piecewise linear functions with discontinuities at the difference cells boundaries. Examples of test calculations are provided both for problems with rectilinear and curvilinear contact boundaries. In both cases, the use of discontinuous approximations of the Lagrange multiplier function makes it possible to obtain a numerical solution with fewer artificial oscillations and higher rate of convergence at the grid refinement. It is shown that the numerical solution precision could be improved by more detailed discretization of the contact boundary without changing the grids inside the contacting bodies","PeriodicalId":12961,"journal":{"name":"Herald of the Bauman Moscow State Technical University. Series Natural Sciences","volume":"72 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83619876","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
R. Badykov, A. Lomachev, M. Benedyuk, E.M. Grigoriev
{"title":"Development of an Experimental Setup to Study the Load-Carrying Capacity of a Single-Stage Magnetic Rotor Suspension","authors":"R. Badykov, A. Lomachev, M. Benedyuk, E.M. Grigoriev","doi":"10.18698/0236-3941-2022-4-4-18","DOIUrl":"https://doi.org/10.18698/0236-3941-2022-4-4-18","url":null,"abstract":"An installation for studying the dynamics and carrying capacity of a single-stage magnetic rotor suspension has been created. The evaluation of the proposed installation with regard to its potential use was carried out. The possibility of creating a rotor suspension based on hybrid active magnetic bearings was investigated with the help of the setup. If hybrid active magnetic bearings are used, the magnetic rotor suspension will allow to replace the existing classical active magnetic bearings used in vacuum, cryogenic and pumping equipment, reducing the energy costs without changing the geometric parameters of the existing units' housings. Experimental research of characteristics of axial active electromagnet is conducted (minimum power required to keep the rotor in vertical position is obtained). A finite-element model of the axial active magnetic bearing is created. The calculation results of the model are compared with the experimental data and the inductive transducer is calibrated. Experimental installation of a single-step rotor magnetic suspension is designed and manufactured. An electrical circuit for controlling the experimental setup is assembled. The program for PID-controller is given and its principle of operation is described with respect to the specified installation","PeriodicalId":12961,"journal":{"name":"Herald of the Bauman Moscow State Technical University. Series Natural Sciences","volume":"1 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88776284","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Electronic Structure and Optoelectronic Properties of a New Polymer Series (N-alkyl 2-pyridone dithiophene) PDTs","authors":"D. Mamand, T. Rasul, A. Awla, T. Anwer","doi":"10.18698/1812-3368-2022-6-157-173","DOIUrl":"https://doi.org/10.18698/1812-3368-2022-6-157-173","url":null,"abstract":"One of the most important factors in life today is energy and how to get it. Different methods are used to develop low-cost, high-performance materials for electrical devices such as solar cells. In this paper, some properties of three polymer materials are investigated. Through the use of UV-visible spectrum, we have been able to discover several properties that help determine the level of materials in terms of electrical and electronic devices. Based on Gaussian 09 software, and geometries of all the studied polymers compounds were fully optimized and established on density functional theory with functional B3LYP, which has evolved very favored in current decades. Several quantum chemical properties were investigated and compared with other polymer properties, such as stiffness, flexibility, electronegativity, bandgap energy, ionization potential, chemical potential, electron back donation and electron transport","PeriodicalId":12961,"journal":{"name":"Herald of the Bauman Moscow State Technical University. Series Natural Sciences","volume":"18 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89221085","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
N. M. Kuznetsov, E. Banin, A. Krupnin, S. Krasheninnikov, A. Vdovichenko, S. N. Chvalun
{"title":"Effect of Filler on the Deformation of Polydimethylsiloxane Composites under an Electric Field","authors":"N. M. Kuznetsov, E. Banin, A. Krupnin, S. Krasheninnikov, A. Vdovichenko, S. N. Chvalun","doi":"10.18698/1812-3368-2022-6-123-143","DOIUrl":"https://doi.org/10.18698/1812-3368-2022-6-123-143","url":null,"abstract":"The study considers some aspects of the development of new stimuliresponsive materials capable to reversible deformation under an electric field due to the Maxwell pressure. To increase the response of the material to an external stimulus, an approach of polymer composites formation was chosen. Particles of various nature and shape were considered as fillers: powders of iron, montmorillonite and cellulose. Composite elastomeric materials based on polydimethylsiloxane with a low filler content of 5 wt% have been obtained. The morphology of the filler particles was confirmed by electron microscopy. Mechanical properties of the materials in uniaxial tests were studied. The Young’s modulus and constants for the 3-parameter Yeoh model in the range of deformations up to 800 % were determined. The electrophysical properties of the materials, as well as their response to an electric field at different strengths of 0.84 and 2.5 kV/mm have been studied. The effect of the filler nature on the conductivity and permittivity of composite materials was revealed. The data of mechanical and dielectric studies indicate that the filler concentration is below the percolation threshold for all composites. The composite with cellulose exhibits the greatest response to an external stimulus over the considered materials, which is determined by the balance of two factors: the value of Young’s modulus and the values of electrophysical characteristics. Directions for further research were determined and the prospects for the dielectric elastomers creation with predetermined properties were briefly discussed","PeriodicalId":12961,"journal":{"name":"Herald of the Bauman Moscow State Technical University. Series Natural Sciences","volume":"19 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80592167","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
N. Zubov, V. Ryabchenko, A. Proletarsky, A.A. Volochkova
{"title":"On one Approach to the Solution of the Lambert Problem using the Decompositional Method of Modal Control","authors":"N. Zubov, V. Ryabchenko, A. Proletarsky, A.A. Volochkova","doi":"10.18698/1812-3368-2022-6-77-89","DOIUrl":"https://doi.org/10.18698/1812-3368-2022-6-77-89","url":null,"abstract":"A new approach to the solution of the Lambert’s problem in spaceflight mechanics is proposed for elliptical orbits. The system of four transcendental algebraic equations is solved using the method of modal synthesis which is based on multilevel decomposition of discrete dynamic system and applied to solve the problem of identification of parameters of discrete system by a state observer. The solution algorithm is as follows: conditional and identification discrete models (systems) are built for the specified system of equations; initial values of estimates are given; initial conditions in the equations of residuals are formed. Using the method of modal synthesis, the problem of search for control of the auxiliary system is solved, as a result of which the matrix of state observer feedback coefficients is calculated. This matrix is used to predict the state vector and to obtain refined estimates --- parameters of the planar orbit. A numerical example of the Lambert’s problem solution using the proposed algorithm is given. In essence, an approach to the solution of nonlinear algebraic systems of the fourth order, which can be extended to systems of any observable order, is proposed. The peculiarity of the proposed algorithm is that the convergence of the iterative process of finding a solution can have a different \"adjustable\" speed using the control law","PeriodicalId":12961,"journal":{"name":"Herald of the Bauman Moscow State Technical University. Series Natural Sciences","volume":"13 31 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83566653","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Interference Method in Controlling the Convex Hyperbolic Surfaces using the Optical Diffraction Element","authors":"D.I. Krasnov, Sarah Nguyen, V. Druzhin","doi":"10.18698/0236-3933-2022-4-80-91","DOIUrl":"https://doi.org/10.18698/0236-3933-2022-4-80-91","url":null,"abstract":"Interference control methods are making it possible to evaluate with high accuracy errors in the shape of the optical part surface profile. The interference pattern processing allows obtaining a map of the surface deviations at each of its points with an accuracy of half the wavelength. An interference method is proposed for testing the convex hyperbolic surfaces, which could be introduced to control mirrors with large aperture angles in the imaginary geometric focus. The proposed auto-collimation control scheme consists of a helium-neon laser with the wavelength of 632.8 nm, a meniscus lens and a planar axisymmetric diffractive optical element to correct the meniscus spherical aberration. Numerical method is presented for calculating the optical diffraction element using a phase profile on the example of the secondary hyperbolic mirror of the Millimetron space telescope. The developed scheme was simulated in the Zemax OpticStudio program. The approximation error of the calculated phase profile was evaluated depending on the number of phase coefficients. The Fizeau interferometer optical system is proposed to implement the developed method. The influence of errors in installing a controlled mirror on the interference pattern for axial displacement, transverse displacement and tilt was determined. The residual wave aberration was evaluated in the control system","PeriodicalId":12961,"journal":{"name":"Herald of the Bauman Moscow State Technical University. Series Natural Sciences","volume":"38 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84915482","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"T-Schemes for Mathematical Modelling of Vorticity Generation on Smooths Airfoils in Vortex Particle Methods","authors":"I. Marchevsky, K.S. Sokol, Yulia Izmailova","doi":"10.18698/1812-3368-2022-6-33-59","DOIUrl":"https://doi.org/10.18698/1812-3368-2022-6-33-59","url":null,"abstract":"New numerical schemes are proposed for solving the boundary integral equation that arises in CFD vortex particle methods of when simulating a plane flow around smooth airfoils. They are based on considering the 2-nd kind integral equation with respect to vortex sheet intensity with a bounded or absolutely integrable kernel instead of traditionally solved singular integral equations of the 1-st kind with Hilbert-type singularity. To solve it, the Galerkin approach is used. It is shown that when approximating the airfoil boundary with a polygon, it is possible to develop schemes of the 1-st and 2-nd order of accuracy, considering a piecewise-constant or piecewise-linear (discontinuous or continuous) distribution of the solution along the panels. The necessary formulae are presented for calculating the components of the matrix and the right-hand side of the system of linear algebraic equations, that is a discrete analogue of the integral equation. They are suitable for modelling of the vorticity generation when simulating the flow around either single airfoil or system of airfoils, including moving and/or deformable ones. The developed schemes can be used in the framework of the viscous vortex domains method as well as other modifications of vortex particle methods, since they only concern the convective velocities of the flow near the airfoil and are not related to methods for modeling viscous diffusion of vorticity","PeriodicalId":12961,"journal":{"name":"Herald of the Bauman Moscow State Technical University. Series Natural Sciences","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79782985","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Method for Calculating the Particle Projection Area in Two-Dimensional Nanoscale Images using the Threshold Algorithms","authors":"G. S. Baydin, A. S. Titov","doi":"10.18698/0236-3933-2022-4-4-19","DOIUrl":"https://doi.org/10.18698/0236-3933-2022-4-4-19","url":null,"abstract":"The growing complexity of studying nanoscale images and meshing the results of experiments processing makes it necessary to automate this process to improve accuracy and reliability of the results obtained. As part of the ongoing research, a method was developed to determine automatically the particles area in the electron microscope images. The threshold algorithm and its modification was considered to identify particles in the nanoscale images. Block matching and 3D filtering algorithm was selected for preprocessing. The optimal sequence of the above algorithms for images application was obtained in order to solve the problem. Several threshold algorithms and methods for calculating the corresponding threshold values were considered forming the base to select the most appropriate algorithms in the context of the problem being solved. The above method resulted in determining dependence of the particles number on their area for each given image. Currently, quite large and constantly growing volumes of nanoscale images were accumulated, which leads to a need to automate the research process. The proposed method is intended to solve practical problems in determining the particles area in the nanoscale images and could be used at various stages of the experiment","PeriodicalId":12961,"journal":{"name":"Herald of the Bauman Moscow State Technical University. Series Natural Sciences","volume":"32 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87218501","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Kinematics of Strain Wave Gears with an External Deformation Wave Generator","authors":"G. Timofeev, N.A. Yaminskiy, D. Samoilov","doi":"10.18698/0236-3941-2022-4-77-88","DOIUrl":"https://doi.org/10.18698/0236-3941-2022-4-77-88","url":null,"abstract":"The development of automatic control systems, tracking systems and industrial robotics requires the creation of new generation drive systems with high efficiency, kinematic accuracy, reliability, durability with small axial and radial dimensions and weight. To implement tracking systems with power differentials, transmission mechanisms with two degrees of freedom are required to provide the transformation and summation of two movements of drive motors into the required movement of the drive output shaft. These requirements in single-channel tracking systems are well met by strain wave gears (SWG) with low-inertia disk and ring wave generators. They allow for wide layout possibilities, the ability to route cables through the hollow central shaft of the drive, high torsional rigidity and low moments of inertia, which are in the range of 250 to 400 times less than those of cam wave generators, thus ensuring high drive speed. There are practically no publications, except domestic ones, devoted to the study of SWG with ring wave generators. This scientific direction of research is carried out at the Bauman Moscow State Technical University. Structural schemes of SWG with ring generators of external deformation waves are considered, the features of the kinematics of these gears are studied, and recommendations for improving their quality indicatorsare proposed","PeriodicalId":12961,"journal":{"name":"Herald of the Bauman Moscow State Technical University. Series Natural Sciences","volume":"20 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83282495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Alkaloids Electrochemical Multisensor Express Analysis in the Electronic Tongue Format","authors":"E. M. Petrenko, V. A. Semenova","doi":"10.18698/1812-3368-2022-6-144-156","DOIUrl":"https://doi.org/10.18698/1812-3368-2022-6-144-156","url":null,"abstract":"The paper presents a method of multisensor inversion voltammetry to detect and identify the alkaloids macro quantity in a test sample. In contrast to the existing multisensor systems using a set of indicating electrodes, the proposed method envisages a line of sensors formed on the surface of a single planar three-electrode system at introducing in the background electrolyte a number of transition metal ions and forming complexes with the sample toxic substances of the sample. Effect of each organic substance on the electrochemical behavior of the multisensor test system is different; therefore, it becomes possible to use the electrolyte solution containing a set of cations of various metals as the test system. The developed method advantage lies in obtaining reliable results with low labor intensity and in high efficiency of the analysis. Taking into account specifics of the substances under identification, composition of the electrochemical test system was optimized, and information parameters characterizing the alkaloids presence in the test sample were identified. Successful application of the proposed method in analytical studies leads to its implementation in the electronic tongue format. Based on the results of the research conducted, a method of analysis is proposed that with high reliability makes it possible to detect and identify alkaloids both in the laboratory and in the out-of-laboratory conditions","PeriodicalId":12961,"journal":{"name":"Herald of the Bauman Moscow State Technical University. Series Natural Sciences","volume":"73 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74644827","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}