Pub Date : 2021-06-16DOI: 10.33842/22195203/2021/21/114/121
E. Eremeev, A. Rackovich
{"title":"ALGORITHMIC SOFTWARE FOR USING THE CUBIC SPLINE IN RESTORING THE FUNCTIONAL DEPENDENCE IN THE CASE OF BOUNDARY CONDITIONS FOR THE FIRST DERIVATIVES","authors":"E. Eremeev, A. Rackovich","doi":"10.33842/22195203/2021/21/114/121","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/114/121","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"60 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":"124316692","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: 10.33842/22195203/2021/21/3/15
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: 10.33842/22195203/2021/22/142/152
M. Rubtsov, D. Spirintsev, K. Radilová, A. Vlasenko
{"title":"MATHEMATICALLY MODELING PERIODICHNYE PROCESSES FOR ADDITIONAL SERIES FURIE","authors":"M. Rubtsov, D. Spirintsev, K. Radilová, A. Vlasenko","doi":"10.33842/22195203/2021/22/142/152","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/142/152","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"38 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132359332","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: 10.33842/22195203/2021/21/98/104
N. Hrytsyna, O. Chernikov
{"title":"EXPERIENCE OF THE AUTODESK REVIT PACKAGE INTRODUCTION FOR MODELING BUILDINGS AND STRUCTURES INTO THE EDUCATIONAL PROCESS","authors":"N. Hrytsyna, O. Chernikov","doi":"10.33842/22195203/2021/21/98/104","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/98/104","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"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":"116813739","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: 10.33842/22195203/2021/21/47/53
V. Vanin, O. Zalevska, J. Sidorenko, A. Voitovych
{"title":"ANALYSIS OF METHODS FOR MODELING SOUND PROPAGATION IN A WAVEGUIDE","authors":"V. Vanin, O. Zalevska, J. Sidorenko, A. Voitovych","doi":"10.33842/22195203/2021/21/47/53","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/47/53","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":"129825027","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: 10.33842/22195203/2021/21/23/34
A. Baranyuk, M. Vorobiov
{"title":"SIMULATION OF FLOW AND HEAT EXCHANGE OF A RADIATOR WITH PLATE-SPLIT FINNING IN THE CONDITIONS OF FREE CONVECTION","authors":"A. Baranyuk, M. Vorobiov","doi":"10.33842/22195203/2021/21/23/34","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/23/34","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"43 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":"128295061","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: 10.33842/22195203/2021/21/183/190
V. Shvaiko, O. Bandurka, O. Datsyuk, O. Golova, O. Kovalchuk
{"title":"ANALYSIS OF IMAGES OF FOREST PLANTATIONS","authors":"V. Shvaiko, O. Bandurka, O. Datsyuk, O. Golova, O. Kovalchuk","doi":"10.33842/22195203/2021/21/183/190","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/183/190","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"41 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":"129978688","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: 10.33842/22195203/2021/21/91/97
O. Golova, S. Zalevsky, A. Vorobyov, Y. Lazarchuk-Vorobyova
{"title":"IMPROVEMENT OF THE GEOMETRIC SHAPE OF THE INDEPENDENTLY CONTROLLED ELEMENT OF THE MANIPULATOR","authors":"O. Golova, S. Zalevsky, A. Vorobyov, Y. Lazarchuk-Vorobyova","doi":"10.33842/22195203/2021/21/91/97","DOIUrl":"https://doi.org/10.33842/22195203/2021/21/91/97","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":"122461066","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: 10.33842/22195203/2021/22/66/79
T. Kovalyov, T. Shmelova, O. Bosiy
{"title":"URBAN ENVIRONMENT DESIGNING AS AN OPTIMIZATION PROBLEM","authors":"T. Kovalyov, T. Shmelova, O. Bosiy","doi":"10.33842/22195203/2021/22/66/79","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/66/79","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"63 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":"124083845","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: 10.33842/22195203/2021/22/12/21
V. Vereshchaga, K. Lysenko
{"title":"CORRECTING THE SHAPE OF A PLANE POINT POLYNOMA BY CHANGING THE POSITION OF ITS BASE POINTS","authors":"V. Vereshchaga, K. Lysenko","doi":"10.33842/22195203/2021/22/12/21","DOIUrl":"https://doi.org/10.33842/22195203/2021/22/12/21","url":null,"abstract":"","PeriodicalId":188754,"journal":{"name":"Modern problems of modeling","volume":"73 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":"121309839","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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