Pub Date : 2023-06-01DOI: 10.26577/jmmcs.2023.v118.i2.04
A. Shakir
sliding
滑动
{"title":"GLOBAL SOLVABILITY OF INVERSE PROBLEM FOR LINEAR KELVIN-VOIGT EQUATIONS WITH MEMORY","authors":"A. Shakir","doi":"10.26577/jmmcs.2023.v118.i2.04","DOIUrl":"https://doi.org/10.26577/jmmcs.2023.v118.i2.04","url":null,"abstract":"sliding","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128477704","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}
Pub Date : 2023-06-01DOI: 10.26577/jmmcs.2023.v118.i2.06
U. T. Abdrakhimov, A. A. Akimkhanova
To improve the technical level of mechanical engineering, it is necessary to expand the technical capabilities of equipment and devices, existing structures, as well as equipping them with fundamentally new mechanisms. The creation of new designs of machines and mechanisms requires the design of lever mechanisms of high classes, the working bodies of which can reproduce complex movements and trajectories. Due to the presence of movable, variable closed hinge-lever contours, lever mechanisms of high classes, unlike traditional lever mechanisms with lower pairs, perceive heavy loads, have increased rigidity. On the basis of a high-class rectilinear guiding mechanism, a lever mechanism has been designed that can be used in lifting machines and mechanisms. An important machine kinetics section is the force analysis of mechanisms by the given laws of motion of the initial elements and known external forces applied to the mechanism segments. The paper proposes a new design of a lifting mechanism, the peculiarity of which is that it belongs to the high-class Assur group by its structure, which causes ease of operation and reliability of the design. For this design, a synthesis of the mechanism was carried out in [1], and now a force analysis of this mechanism is being performed using the Academician U.A. Dzholdasbekov method of introducing auxiliary points.
{"title":"KINETOSTATIC CALCULATION OF A HIGH CLASS LIFTING MECHANISM (BY ASSUR CLASSIFICATION) OF A TECHNOLOGICAL LOAD-LIFTING MACHINE","authors":"U. T. Abdrakhimov, A. A. Akimkhanova","doi":"10.26577/jmmcs.2023.v118.i2.06","DOIUrl":"https://doi.org/10.26577/jmmcs.2023.v118.i2.06","url":null,"abstract":"To improve the technical level of mechanical engineering, it is necessary to expand the technical capabilities of equipment and devices, existing structures, as well as equipping them with fundamentally new mechanisms. The creation of new designs of machines and mechanisms requires the design of lever mechanisms of high classes, the working bodies of which can reproduce complex movements and trajectories. Due to the presence of movable, variable closed hinge-lever contours, lever mechanisms of high classes, unlike traditional lever mechanisms with lower pairs, perceive heavy loads, have increased rigidity. On the basis of a high-class rectilinear guiding mechanism, a lever mechanism has been designed that can be used in lifting machines and mechanisms. An important machine kinetics section is the force analysis of mechanisms by the given laws of motion of the initial elements and known external forces applied to the mechanism segments. The paper proposes a new design of a lifting mechanism, the peculiarity of which is that it belongs to the high-class Assur group by its structure, which causes ease of operation and reliability of the design. For this design, a synthesis of the mechanism was carried out in [1], and now a force analysis of this mechanism is being performed using the Academician U.A. Dzholdasbekov method of introducing auxiliary points.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"105 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133136148","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}
Pub Date : 2023-06-01DOI: 10.26577/jmmcs.2023.v118.i2.08
A. Tuleshov, Yuriy Drakunov, B. Akhmetova, M. Kuatova, A. Shadymanova
{"title":"THE CRANK-SLIDER MECHANISM FUNCTIONALITY","authors":"A. Tuleshov, Yuriy Drakunov, B. Akhmetova, M. Kuatova, A. Shadymanova","doi":"10.26577/jmmcs.2023.v118.i2.08","DOIUrl":"https://doi.org/10.26577/jmmcs.2023.v118.i2.08","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129295971","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}
Pub Date : 2023-06-01DOI: 10.26577/jmmcs.2023.v118.i2.03
N. Kakharman
ON ONE-DIMENSIONAL HELMHOLTZ EQUATION The study of time-periodic solutions of the multidimensional wave equation on the entire 3D space is an important field of research in applied mathematics. It is known that this study leads to the Sommerfeld radiation condition at infinity. The radiation condition states that for a solution to a one-dimensional wave equation, such as the Helmholtz equation or the wave equation, to represent an outgoing wave at infinity. The Helmholtz equation in 1D, which models the propagation of electromagnetic waves in systems effectively reduced to one dimension, is equivalent to the time-independent Schrodinger equation. The one-dimensional Helmholtz potential is widely used in various areas of physics and engineering, such as electromagnetics, acoustics, and quantum mechanics. The Sommerfeld problem in the one-dimensional case requires special investigation, and the radiation conditions in the one-dimensional case differ from those in the multidimensional case. These differences are related to the peculiarities of the fundamental solutions. In this paper, we constructed the fundamental solution of the one-dimensional Helmholtz equation. Then, we found the boundary conditions for the one-dimensional Helmholtz potential. Finally, the equivalent conditions with Sommerfeld radiation conditions were found for the one-dimensional Helmholtz equation.
{"title":"On one-dimensional Helmholtz equation","authors":"N. Kakharman","doi":"10.26577/jmmcs.2023.v118.i2.03","DOIUrl":"https://doi.org/10.26577/jmmcs.2023.v118.i2.03","url":null,"abstract":"ON ONE-DIMENSIONAL HELMHOLTZ EQUATION The study of time-periodic solutions of the multidimensional wave equation on the entire 3D space is an important field of research in applied mathematics. It is known that this study leads to the Sommerfeld radiation condition at infinity. The radiation condition states that for a solution to a one-dimensional wave equation, such as the Helmholtz equation or the wave equation, to represent an outgoing wave at infinity. The Helmholtz equation in 1D, which models the propagation of electromagnetic waves in systems effectively reduced to one dimension, is equivalent to the time-independent Schrodinger equation. The one-dimensional Helmholtz potential is widely used in various areas of physics and engineering, such as electromagnetics, acoustics, and quantum mechanics. The Sommerfeld problem in the one-dimensional case requires special investigation, and the radiation conditions in the one-dimensional case differ from those in the multidimensional case. These differences are related to the peculiarities of the fundamental solutions. In this paper, we constructed the fundamental solution of the one-dimensional Helmholtz equation. Then, we found the boundary conditions for the one-dimensional Helmholtz potential. Finally, the equivalent conditions with Sommerfeld radiation conditions were found for the one-dimensional Helmholtz equation.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"49 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132425525","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}
Pub Date : 2023-06-01DOI: 10.26577/jmmcs.2023.v118.i2.02
A. Bayzhumanov
In order to simplify the notation and reduce the time for solving systems of Boolean equations, a method is proposed that is optimal for solving a separate class of systems of nonlinear Boolean equations of the second degree. In the class of systems of non-linear Boolean equations under study, logical formulas are divided completely or partially into some linear factors. As a result, logical formulas are reduced to a product of linear polynomials, on the basis of which a system of linear Boolean equations is obtained, which is solved an order of magnitude easier than a system of second-order Boolean equations. It is considered some problems of minimization of special disjunctive normal forms obtained from the Zhegalkin polynomial of the second degree of a special class.
{"title":"OPTIMAL METHOD FOR SOLVING SPECIAL CLASSES OF SYSTEMS OF NONLINEAR EQUATIONS OF THE SECOND DEGREE","authors":"A. Bayzhumanov","doi":"10.26577/jmmcs.2023.v118.i2.02","DOIUrl":"https://doi.org/10.26577/jmmcs.2023.v118.i2.02","url":null,"abstract":"In order to simplify the notation and reduce the time for solving systems of Boolean equations, a method is proposed that is optimal for solving a separate class of systems of nonlinear Boolean equations of the second degree. In the class of systems of non-linear Boolean equations under study, logical formulas are divided completely or partially into some linear factors. As a result, logical formulas are reduced to a product of linear polynomials, on the basis of which a system of linear Boolean equations is obtained, which is solved an order of magnitude easier than a system of second-order Boolean equations. It is considered some problems of minimization of special disjunctive normal forms obtained from the Zhegalkin polynomial of the second degree of a special class.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"105 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116376055","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}
Pub Date : 2023-06-01DOI: 10.26577/jmmcs.2023.v118.i2.07
S. Akhmediyev, O. Khabidolda, N. Vatin, G. Yessenbayeva, R. Muratkhan, С.К. Ахмадиев, Ө. Хабидолда, Н.И. Ватин, Гульсима Ахмадиевна Есенбаева, Р. Муратхан, Қазақстан Қарағанды Ә. Сағынов атындағы Қарағанды техникалық университ, Қазақстан Қарағанды қ. Академик Е.А. Бөкетов атындағы Қарағанды университ, С.К. Ахмедиев, O. Хабидолда
In this paper, the bending of cantilever triangular plates at the same angles of inclination of the side edges to the base is investigated. Due to the complexity of the boundary conditions, a numerical finite difference method is applied using a grid of scalene triangles that fits well into the contour of the plate. To solve the problem of an acute angle at the top of the plate, the method of combining the results of calculating a cantilever bar of variable bending stiffness with similar results of calculating a triangular plate supported along the contour using a reduction factor is applied. The results of deflections of the cantilever triangular plate at different angles of inclination of the side edges to the base are given. The theoretical provisions and applied results of this study can be used both in scientific research and in engineering design.
{"title":"PHYSICAL AND MECHANICAL STATE OF CANTILEVER TRIANGULAR PLATES","authors":"S. Akhmediyev, O. Khabidolda, N. Vatin, G. Yessenbayeva, R. Muratkhan, С.К. Ахмадиев, Ө. Хабидолда, Н.И. Ватин, Гульсима Ахмадиевна Есенбаева, Р. Муратхан, Қазақстан Қарағанды Ә. Сағынов атындағы Қарағанды техникалық университ, Қазақстан Қарағанды қ. Академик Е.А. Бөкетов атындағы Қарағанды университ, С.К. Ахмедиев, O. Хабидолда","doi":"10.26577/jmmcs.2023.v118.i2.07","DOIUrl":"https://doi.org/10.26577/jmmcs.2023.v118.i2.07","url":null,"abstract":"In this paper, the bending of cantilever triangular plates at the same angles of inclination of the side edges to the base is investigated. Due to the complexity of the boundary conditions, a numerical finite difference method is applied using a grid of scalene triangles that fits well into the contour of the plate. To solve the problem of an acute angle at the top of the plate, the method of combining the results of calculating a cantilever bar of variable bending stiffness with similar results of calculating a triangular plate supported along the contour using a reduction factor is applied. The results of deflections of the cantilever triangular plate at different angles of inclination of the side edges to the base are given. The theoretical provisions and applied results of this study can be used both in scientific research and in engineering design.","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"17 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125282168","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}
Pub Date : 2023-06-01DOI: 10.26577/jmmcs.2023.v118.i2.05
D. Utebaev, Kh. L. Atadjanov, Zhusipbay Nurullaev
magnetic gas
磁气
{"title":"FINITE ELEMENT METHOD SCHEMES OF HIGHER ACCURACY FOR SOLVING NON-STATIONARY FOURTH-ORDER EQUATIONS","authors":"D. Utebaev, Kh. L. Atadjanov, Zhusipbay Nurullaev","doi":"10.26577/jmmcs.2023.v118.i2.05","DOIUrl":"https://doi.org/10.26577/jmmcs.2023.v118.i2.05","url":null,"abstract":"magnetic gas","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130613978","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}
Pub Date : 2023-06-01DOI: 10.26577/jmmcs.2023.v118.i2.09
G. Tyulepberdinova, T. Sarsembayeva, S. Adilzhanova, S. Issabayeva
.
．
{"title":"INFORMATION AND ANALYTICAL SYSTEM FOR ASSESSING THE HEALTH STATUS OF STUDENTS","authors":"G. Tyulepberdinova, T. Sarsembayeva, S. Adilzhanova, S. Issabayeva","doi":"10.26577/jmmcs.2023.v118.i2.09","DOIUrl":"https://doi.org/10.26577/jmmcs.2023.v118.i2.09","url":null,"abstract":".","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115964472","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}
Pub Date : 2023-06-01DOI: 10.26577/jmmcs.2023.v118.i2.01
А.N. Abek, M.Zh, Turgumbayev, Z. R. Suleimenova, А.Н. Абек, М.Ж. Тургумбаев, З.Р. Сулейменова, Евразийский национальный, Казахстан г. Астана Л.Н. Гумилева, Карагандинский университет имени, Казахстан г. Караганда Е.А. Букетова
.
．
{"title":"ON THE BOUNDEDNESS OF A GENERALIZED FRACTIONAL-MAXIMAL OPERATOR IN LORENTZ SPACES","authors":"А.N. Abek, M.Zh, Turgumbayev, Z. R. Suleimenova, А.Н. Абек, М.Ж. Тургумбаев, З.Р. Сулейменова, Евразийский национальный, Казахстан г. Астана Л.Н. Гумилева, Карагандинский университет имени, Казахстан г. Караганда Е.А. Букетова","doi":"10.26577/jmmcs.2023.v118.i2.01","DOIUrl":"https://doi.org/10.26577/jmmcs.2023.v118.i2.01","url":null,"abstract":".","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128912583","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}
Pub Date : 2023-03-01DOI: 10.26577/jmmcs.2023.v117.i1.07
A. Tashev, R. Kazykhan, B. Aitbayeva
{"title":"DEVELOPMENT OF METHODS AND ALGORITHMS FOR ESTIMATING THE TEMPERATURE DISTRIBUTION IN THE BODY OF A RECTANGULAR PARALLELEPIPED SHAPE UNDER THE INFLUENCE OF HEAT FLOW AND THE PRESENCE OF HEAT EXCHANGE","authors":"A. Tashev, R. Kazykhan, B. Aitbayeva","doi":"10.26577/jmmcs.2023.v117.i1.07","DOIUrl":"https://doi.org/10.26577/jmmcs.2023.v117.i1.07","url":null,"abstract":"","PeriodicalId":423127,"journal":{"name":"Journal of Mathematics, Mechanics and Computer Science","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122063842","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}
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