Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/21/3/15
V. Anpilogova, S. Botvinovska, J. Levina, A. Sulimenko
Setting and solving the problem presented in the article is a relevant topic in computer modeling. In particular, to create special models for building quadrics and solve problems associated with analyzing the shape of a surface and switching from one surface determinant to another (surface determinant change problems) The object of the presented study is a hyperbolic paraboloid, as one of the surfaces widely used in architecture as a coating shell for large-span structures. The main goal of the work is to transition from representing the surface of a hyperbolic paraboloid with four segments that form a spatial closed broken to its "canonical" form, that is, to finding its vertex, axis, symmetry planes and shape parameters of the hyperbolic paraboloid. In the work, the position is proved: if the hyperbolic paraboloid Γ is given by a closed spatial broken line of four segments (determinant), then the line passing through the middle of the segments connecting the opposite vertices of this broken line is parallel to the axis of the given hyperbolic paraboloid Γ. Algorithms for solving three problems are presented. By one of the algorithms, you can find the direction of the axis of the hyperbolic paraboloid specified by an arbitrary determinant. The second shows how, by means of computer graphics, an arbitrary determinant can be designed onto a plane by a parallelogram. According to the third algorithm, you can find the "canonical" form of a hyperbolic paraboloid given by an arbitrary determinant. Examples are presented and the purpose of further development of the work is indicated, namely modeling the surface of a hyperbolic paraboloid along a given line of outline.
{"title":"DESIGN PROPERTIES OF HYPERBOLIC PARABOLOID AND THEIR APPLICATION IN COMPUTER MODELING","authors":"V. Anpilogova, S. Botvinovska, J. Levina, A. Sulimenko","doi":"10.33842/22195203/2021/21/3/15","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/3/15","url":null,"abstract":"Setting and solving the problem presented in the article is a relevant topic in computer modeling. In particular, to create special models for building quadrics and solve problems associated with analyzing the shape of a surface and switching from one surface determinant to another (surface determinant change problems) The object of the presented study is a hyperbolic paraboloid, as one of the surfaces widely used in architecture as a coating shell for large-span structures. The main goal of the work is to transition from representing the surface of a hyperbolic paraboloid with four segments that form a spatial closed broken to its \"canonical\" form, that is, to finding its vertex, axis, symmetry planes and shape parameters of the hyperbolic paraboloid. In the work, the position is proved: if the hyperbolic paraboloid Γ is given by a closed spatial broken line of four segments (determinant), then the line passing through the middle of the segments connecting the opposite vertices of this broken line is parallel to the axis of the given hyperbolic paraboloid Γ. Algorithms for solving three problems are presented. By one of the algorithms, you can find the direction of the axis of the hyperbolic paraboloid specified by an arbitrary determinant. The second shows how, by means of computer graphics, an arbitrary determinant can be designed onto a plane by a parallelogram. According to the third algorithm, you can find the \"canonical\" form of a hyperbolic paraboloid given by an arbitrary determinant. Examples are presented and the purpose of further development of the work is indicated, namely modeling the surface of a hyperbolic paraboloid along a given line of outline.","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134121153","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 : 2021-06-16DOI: 10.33842/22195203/2021/22/125/133
B. Nikolchuk, V. Neschadim
{"title":"PRINCIPLES OF WORKING WITH THE POINT CLOUD IN THE REVIT ENVIRONMENT","authors":"B. Nikolchuk, V. Neschadim","doi":"10.33842/22195203/2021/22/125/133","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/125/133","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"286 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131543824","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 : 2021-06-16DOI: 10.33842/22195203/2021/21/137/143
N. Ismailova, T. Akinina, H. Truhkov, N. Oleynik, O. Yakuts
The paper proposes geometric modeling of conical mating surfaces based on a parametric kinematic screw, for practical use in the design of a cutting tool for processing parts. In modern systems of computer-aided design of complex products in mechanical engineering, parametric geometric methods for constructing curved surfaces using computer technologies that exclude interference are increasingly being used. The search for new ways to improve the technological processes of manufacturing parts on machine tools with numerical control. The shapes of complex curved surfaces affect the reliability and durability of products and therefore much attention is paid when designing surfaces, taking into account an increasing number of predetermined conditions for the formation of curved surfaces. The use of parametric geometric methods to describe real surfaces obtained as a result of stamping reflects a real physical process, which is an urgent problem.In recent years, in the manufacture of precise high-quality products of kinematic pairs and cutting tools, complex curved surfaces have been widely used, which require the development of a geometric and mathematical apparatus for their modeling. Modeling of conical mating surfaces on the basis of a parametric kinematic screw by the proposed method will eliminate interference in the manufacture of a conical cutting tool.
{"title":"GEOMETRIC MODELING OF END CONJUGATED SURFACES","authors":"N. Ismailova, T. Akinina, H. Truhkov, N. Oleynik, O. Yakuts","doi":"10.33842/22195203/2021/21/137/143","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/137/143","url":null,"abstract":"The paper proposes geometric modeling of conical mating surfaces based on a parametric kinematic screw, for practical use in the design of a cutting tool for processing parts. In modern systems of computer-aided design of complex products in mechanical engineering, parametric geometric methods for constructing curved surfaces using computer technologies that exclude interference are increasingly being used. The search for new ways to improve the technological processes of manufacturing parts on machine tools with numerical control. The shapes of complex curved surfaces affect the reliability and durability of products and therefore much attention is paid when designing surfaces, taking into account an increasing number of predetermined conditions for the formation of curved surfaces. The use of parametric geometric methods to describe real surfaces obtained as a result of stamping reflects a real physical process, which is an urgent problem.In recent years, in the manufacture of precise high-quality products of kinematic pairs and cutting tools, complex curved surfaces have been widely used, which require the development of a geometric and mathematical apparatus for their modeling. Modeling of conical mating surfaces on the basis of a parametric kinematic screw by the proposed method will eliminate interference in the manufacture of a conical cutting tool.","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"67 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131656305","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 : 2021-06-16DOI: 10.33842/22195203/2021/22/173/180
H. Fedchenko, D. Vorontsova, V. Yavdoshenko, V. Tomkiv
{"title":"CREATION OF A DESIGN LAYOUT OF PAGES AND IDENTICS OF AN INTERNET COSMETICS STORE","authors":"H. Fedchenko, D. Vorontsova, V. Yavdoshenko, V. Tomkiv","doi":"10.33842/22195203/2021/22/173/180","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/173/180","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114106356","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 : 2021-06-16DOI: 10.33842/22195203/2021/22/80/88
V. Komyak, O. Danilin, O. Sobol, K. Kyazimov
{"title":"CONDITIONS OF NON-INTERSECTION ELLIPSES TAKING INTO ACCOUNT THE MAXIMUM ALLOWABLE DISTANCES","authors":"V. Komyak, O. Danilin, O. Sobol, K. Kyazimov","doi":"10.33842/22195203/2021/22/80/88","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/80/88","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"48 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121387744","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 : 2021-06-16DOI: 10.33842/22195203/2021/21/66/73
T. Volina, S. Pylypaka
{"title":"DEPENDENCE OF RESISTANCE OF MOVEMENT OF THE FLEXIBLE STRIP ON THE SURFACE FROM THE CURVATURE OF ITS AXIS","authors":"T. Volina, S. Pylypaka","doi":"10.33842/22195203/2021/21/66/73","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/66/73","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126761102","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 : 2021-06-16DOI: 10.33842/22195203/2021/22/118/124
D. Nitsyn, O. Sydorenko
{"title":"INFLUENCE OF GEOMETRY OF FORM ON THE VISUAL PERCEPTION OF DYNAMIC QUALITY IN INFORMATION AND ADVERTISING PRODUCTS","authors":"D. Nitsyn, O. Sydorenko","doi":"10.33842/22195203/2021/22/118/124","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/118/124","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130560512","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 : 2021-06-16DOI: 10.33842/22195203/2021/22/48/55
O. Zalevska, P. Yablonsky, J. Sydorenko, O. Finogenov, A. Sytnyk
{"title":"IMPLEMENTATION OF FRACTICAL COMPRESSION OF GRAPHIC IMAGE ALGORITHM","authors":"O. Zalevska, P. Yablonsky, J. Sydorenko, O. Finogenov, A. Sytnyk","doi":"10.33842/22195203/2021/22/48/55","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/48/55","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"6 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132906012","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 : 2021-06-16DOI: 10.33842/22195203/2021/21/154/163
A. Karaiev, A. Matkovskyi, I. Chyzhykov, S. Sushko
{"title":"GEOMETRIC MODELLING OF BIT SURFACE GUIDELINE OF CHISEL TOOL WORKING BODY","authors":"A. Karaiev, A. Matkovskyi, I. Chyzhykov, S. Sushko","doi":"10.33842/22195203/2021/21/154/163","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/154/163","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132615601","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 : 2021-06-16DOI: 10.33842/22195203/2021/21/164/170
V. Kovbashyn, A. Pik, O. Zakharchuk
{"title":"STUDY OF THE COURSE \"ENGINEERING GRAPHICS AND CAD SYSTEMS\" IN THE WEB CONFERENCE MODE IN THE ATUTOR SYSTEM","authors":"V. Kovbashyn, A. Pik, O. Zakharchuk","doi":"10.33842/22195203/2021/21/164/170","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/164/170","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"308 4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132821073","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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