Pub Date : 2019-06-13DOI: 10.33842/2313-125x/2019/15/86/92
L. Zapolskiy, S. Shevchenko
{"title":"A DESIGN OF OPENING IS IN WEIGHTLESSNESS FRAMEWORK OF PARABOLIC AERIAL WITH THE BEFOREHAND SET FOCAL DISTANCE","authors":"L. Zapolskiy, S. Shevchenko","doi":"10.33842/2313-125x/2019/15/86/92","DOIUrl":"https://doi.org/10.33842/2313-125x/2019/15/86/92","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130712924","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 : 2019-06-13DOI: 10.33842/2313-125x/2019/14/54/63
G. Virchenko, T. Malomuzh, N. Starun, G. Tuluchenko
{"title":"THE USING OF P.L. CHEBYSHEV POLYNOMIALS IN THE FUNDAMENTAL SOLUTIONS METHOD","authors":"G. Virchenko, T. Malomuzh, N. Starun, G. Tuluchenko","doi":"10.33842/2313-125x/2019/14/54/63","DOIUrl":"https://doi.org/10.33842/2313-125x/2019/14/54/63","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"32 2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116650317","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 : 2019-06-13DOI: 10.33842/2313-125x/2019/14/171/178
O. Sobol, S. Kravtsiv
{"title":"MODEL OF COVERING OF GIVEN AREA WITH SPECIAL RESTRICTIONS TAKEN INTO ACCOUNT","authors":"O. Sobol, S. Kravtsiv","doi":"10.33842/2313-125x/2019/14/171/178","DOIUrl":"https://doi.org/10.33842/2313-125x/2019/14/171/178","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"32 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114421846","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 : 2019-06-13DOI: 10.33842/2313-125x/2019/15/190/199
L. Yankovskaya
{"title":"COMPUTER GRAPHIC FORM SHAPING OF SPHERICAL OBJECTS IN DESIGN BASED ON THE PERSPECTIVE CONTOUR LINE","authors":"L. Yankovskaya","doi":"10.33842/2313-125x/2019/15/190/199","DOIUrl":"https://doi.org/10.33842/2313-125x/2019/15/190/199","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127156414","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 : 2019-06-13DOI: 10.33842/2313-125x/2019/14/186/192
O. Chernikov, P. Bryl, O. Mykhailov
{"title":"COMPUTER SIMULATION OF OBJECTS CHANGING THEIR FORM IN THE PROCESS OF WORK (ON THE EXAMPLE OF PNEUMATIC TIRE AND TRACK)","authors":"O. Chernikov, P. Bryl, O. Mykhailov","doi":"10.33842/2313-125x/2019/14/186/192","DOIUrl":"https://doi.org/10.33842/2313-125x/2019/14/186/192","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128790639","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 : 2019-06-13DOI: 10.33842/2313-125x/2019/14/25/37
S. Botvinovska, A. Zolotova
Modeling of discrete frameworks of curvilinear surfaces by the static-geometric method (SGM) under the influence of normal functionally distributed load on grid nodes can be considered as a generalization of the results of research obtained during the modeling of discrete frameworks of curves. This approach expands the possibilities of the SGM in the formation of two-dimensional discrete structures in a three-dimensional point space. In problems of modelling of discrete frameworks of surfaces SGM the necessary requirement acts the task of the two-dimensional schedule of distribution of modules of efforts which can depend on various parameters. The graph of the distribution of the external load forces between the knots of a grid can depend, on the one hand, only on the geometrical parameters of a surface, and with another - on the physical parameters which have a geometric interpretation. Physical parameters discrete image of an object are defined in the process of specifying the initial data for each specific task. When modeling SGMs of discrete frameworks of curvilinear objects under the influence of non-vertical forces of external load there is a necessity to solve nonlinear tasks. This occurs when in the system of equilibrium equations of nodes the external form-forming load is functionally dependent on the coordinates of the neighboring nodes of the star’s of the grid's. The external load forces should remain normal to the corresponding planes in the nodes of the discretely represented surface, which at the time of the calculations remains unknown. Therefore, the problems of finding the coordinates of the discrete grid nodes are solved using iterative methods.
{"title":"DEPENDENCE OF EXTERNAL FORM-FORMING LOAD FROM COORDINATES OF NODES THE DISCRETE GRID WHEN MODELING FRAMEWORKS OF URFACE","authors":"S. Botvinovska, A. Zolotova","doi":"10.33842/2313-125x/2019/14/25/37","DOIUrl":"https://doi.org/10.33842/2313-125x/2019/14/25/37","url":null,"abstract":"Modeling of discrete frameworks of curvilinear surfaces by the static-geometric method (SGM) under the influence of normal functionally distributed load on grid nodes can be considered as a generalization of the results of research obtained during the modeling of discrete frameworks of curves. This approach expands the possibilities of the SGM in the formation of two-dimensional discrete structures in a three-dimensional point space. In problems of modelling of discrete frameworks of surfaces SGM the necessary requirement acts the task of the two-dimensional schedule of distribution of modules of efforts which can depend on various parameters. The graph of the distribution of the external load forces between the knots of a grid can depend, on the one hand, only on the geometrical parameters of a surface, and with another - on the physical parameters which have a geometric interpretation. Physical parameters discrete image of an object are defined in the process of specifying the initial data for each specific task. When modeling SGMs of discrete frameworks of curvilinear objects under the influence of non-vertical forces of external load there is a necessity to solve nonlinear tasks. This occurs when in the system of equilibrium equations of nodes the external form-forming load is functionally dependent on the coordinates of the neighboring nodes of the star’s of the grid's. The external load forces should remain normal to the corresponding planes in the nodes of the discretely represented surface, which at the time of the calculations remains unknown. Therefore, the problems of finding the coordinates of the discrete grid nodes are solved using iterative methods.","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"104 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122579211","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 : 2019-06-13DOI: 10.33842/2313-125x/2019/15/144/150
N. Podrigalo
{"title":"ALGORITHM FOR BUILDING SURFACE PROJECTIONS AND THE LINE OF THEIR CROSSING IN THE THREE-DIMENSIONAL SPACE OF THE COMPUTER AUTODESK INVENTOR PACKAGE","authors":"N. Podrigalo","doi":"10.33842/2313-125x/2019/15/144/150","DOIUrl":"https://doi.org/10.33842/2313-125x/2019/15/144/150","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"73 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124241473","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 : 2019-06-13DOI: 10.33842/2313-125x/2019/15/164/170
A. Podkorutov, N. Ismailova, G. Truhkov, I. Radchenko, L. Lebedeva
{"title":"MODELING OF CONNECTED SCREW SURFACES","authors":"A. Podkorutov, N. Ismailova, G. Truhkov, I. Radchenko, L. Lebedeva","doi":"10.33842/2313-125x/2019/15/164/170","DOIUrl":"https://doi.org/10.33842/2313-125x/2019/15/164/170","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130529353","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 : 2019-06-13DOI: 10.33842/2313-125x/2019/15/21/27
O. Baranetskaya, A. Shevchuk, I. Svidrak
{"title":"GEOMETRIC ASPECTS OF DIAMOND PROCESSING TECHNOLOGY","authors":"O. Baranetskaya, A. Shevchuk, I. Svidrak","doi":"10.33842/2313-125x/2019/15/21/27","DOIUrl":"https://doi.org/10.33842/2313-125x/2019/15/21/27","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"140 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127516452","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 : 2019-06-13DOI: 10.33842/2313-125x/2019/14/17/24
A. Baraniuk, A. Rachinskiy
The article is devoted to the analysis of the strength characteristics of a helical tube, with the flow inside it in non-isothermal conditions. Such tubes are planned to be used as heating surfaces for condensers, steam heaters, air heaters of industrial boilers, for example E-50-4-440G. The relevance of the article material is inextricably linked with the problem of upgrading existing heat exchange equipment. The most metal-intensive part in the mentioned equipment is the heat exchange section, which usually consists of traditional round or round-finned tubes. It is possible to reduce metal consumption, possibly using methods of intensification of heat exchange both from the side of the flow moving in the middle of the tubes and from the side of the flow, washing these tubes from the outside. These requirements are met by those developed at KPI. Igor Sikorsky spiral tubes with a so-called equally developed surface. A study was made of the strength of a brass helical tube with an equally developed surface during internal flow of air by means of CFD modeling. The aim of the work is to determine the stresses and deformations of the helical tubes under the influence of the internal pressure of the non-isothermal flow. Geometric characteristics of helical tubes, under which the balance between the thermal-hydraulic characteristics is observed, is selected on the basis of the previous works of the authors. The verification of CFD-modeling data was carried out using a comparison with a test task known from the literature.
{"title":"CFD SIMULATION OF THE STRENGTH CHARACTERISTICS OF HELICAL TUBES UNDER NON-ISOTHERMAL CONDITIONS OF THE INTERNAL FLOW","authors":"A. Baraniuk, A. Rachinskiy","doi":"10.33842/2313-125x/2019/14/17/24","DOIUrl":"https://doi.org/10.33842/2313-125x/2019/14/17/24","url":null,"abstract":"The article is devoted to the analysis of the strength characteristics of a helical tube, with the flow inside it in non-isothermal conditions. Such tubes are planned to be used as heating surfaces for condensers, steam heaters, air heaters of industrial boilers, for example E-50-4-440G. The relevance of the article material is inextricably linked with the problem of upgrading existing heat exchange equipment. The most metal-intensive part in the mentioned equipment is the heat exchange section, which usually consists of traditional round or round-finned tubes. It is possible to reduce metal consumption, possibly using methods of intensification of heat exchange both from the side of the flow moving in the middle of the tubes and from the side of the flow, washing these tubes from the outside. These requirements are met by those developed at KPI. Igor Sikorsky spiral tubes with a so-called equally developed surface. A study was made of the strength of a brass helical tube with an equally developed surface during internal flow of air by means of CFD modeling. The aim of the work is to determine the stresses and deformations of the helical tubes under the influence of the internal pressure of the non-isothermal flow. Geometric characteristics of helical tubes, under which the balance between the thermal-hydraulic characteristics is observed, is selected on the basis of the previous works of the authors. The verification of CFD-modeling data was carried out using a comparison with a test task known from the literature.","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115681031","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}