Methods of digital differential analyzers in the implementation of the geometrical problem in CNC metal cutting machine
The article deals with methods for the implementation of a geometric problem in CNC machines using digital differential analyzers. The advantages and disadvantages of the implementation of interpolation in CNC systems by various methods are considered, special attention is paid to the general method...
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| Format: | Article |
| Language: | deu |
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Academician I.G. Petrovskii Bryansk State University
2017-12-01
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| Series: | Научно-технический вестник Брянского государственного университета |
| Online Access: | http://ntv-brgu.ru/wp-content/arhiv/2017-N4/2017-04-01.pdf |
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| _version_ | 1850178203632533504 |
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| author | Erokhin V.V. |
| author_facet | Erokhin V.V. |
| author_sort | Erokhin V.V. |
| collection | DOAJ |
| description | The article deals with methods for the implementation of a geometric problem in CNC machines using digital differential analyzers. The advantages and disadvantages of the implementation of interpolation in CNC systems by various methods are considered, special attention is paid to the general methods of digital differential analyzers in the implementation of the interpolation of the movement of the working organs of the machine tool. Interpolation methods are analyzed in which the Euler method is used for numerical integration, based on the expansion of the function in a Taylor series with discarding the highest (second and higher) degrees of expansion. The mathematical formalization of the construction of complex curves is shown by the methods of digital differential analyzers - plane curves of the second order, such as parabola, hyperbola, ellipse. |
| format | Article |
| id | doaj-art-c52bd35810864cde87d9e5c3bf28264f |
| institution | OA Journals |
| issn | 2413-9920 |
| language | deu |
| publishDate | 2017-12-01 |
| publisher | Academician I.G. Petrovskii Bryansk State University |
| record_format | Article |
| series | Научно-технический вестник Брянского государственного университета |
| spelling | doaj-art-c52bd35810864cde87d9e5c3bf28264f2025-08-20T02:18:47ZdeuAcademician I.G. Petrovskii Bryansk State UniversityНаучно-технический вестник Брянского государственного университета2413-99202017-12-013436937310.22281/2413-9920-2017-03-04-369-373Methods of digital differential analyzers in the implementation of the geometrical problem in CNC metal cutting machineErokhin V.V. 0Academician I.G. Petrovskii Bryansk State UniversityThe article deals with methods for the implementation of a geometric problem in CNC machines using digital differential analyzers. The advantages and disadvantages of the implementation of interpolation in CNC systems by various methods are considered, special attention is paid to the general methods of digital differential analyzers in the implementation of the interpolation of the movement of the working organs of the machine tool. Interpolation methods are analyzed in which the Euler method is used for numerical integration, based on the expansion of the function in a Taylor series with discarding the highest (second and higher) degrees of expansion. The mathematical formalization of the construction of complex curves is shown by the methods of digital differential analyzers - plane curves of the second order, such as parabola, hyperbola, ellipse.http://ntv-brgu.ru/wp-content/arhiv/2017-N4/2017-04-01.pdf |
| spellingShingle | Erokhin V.V. Methods of digital differential analyzers in the implementation of the geometrical problem in CNC metal cutting machine Научно-технический вестник Брянского государственного университета |
| title | Methods of digital differential analyzers in the implementation of the geometrical problem in CNC metal cutting machine |
| title_full | Methods of digital differential analyzers in the implementation of the geometrical problem in CNC metal cutting machine |
| title_fullStr | Methods of digital differential analyzers in the implementation of the geometrical problem in CNC metal cutting machine |
| title_full_unstemmed | Methods of digital differential analyzers in the implementation of the geometrical problem in CNC metal cutting machine |
| title_short | Methods of digital differential analyzers in the implementation of the geometrical problem in CNC metal cutting machine |
| title_sort | methods of digital differential analyzers in the implementation of the geometrical problem in cnc metal cutting machine |
| url | http://ntv-brgu.ru/wp-content/arhiv/2017-N4/2017-04-01.pdf |
| work_keys_str_mv | AT erokhinvv methodsofdigitaldifferentialanalyzersintheimplementationofthegeometricalproblemincncmetalcuttingmachine |