| _version_ | 1866902060988891136 |
|---|---|
| author | Khasanov Bobirmirzo Makhmudali ugli Yusupov Sardorbek Ma'rufovich Abdullajonov Asadbek Sherzodbek ugli |
| author_facet | Khasanov Bobirmirzo Makhmudali ugli Yusupov Sardorbek Ma'rufovich Abdullajonov Asadbek Sherzodbek ugli |
| contents | <p>At present, strengthening the practical orientation of education in the training of specialists is one of the most<br>relevant scientific and practical challenges. This issue can be effectively addressed by systematically motivating the<br>educational process and integrating theoretical knowledge with practical application. The main objective of this study is to<br>scientifically demonstrate the practical application of knowledge acquired in mathematics and automation of technological<br>processes.<br>The article provides a detailed analysis of solving geometric problems on computer numerical control (CNC) machine<br>tools. Within the framework of the study, an interpolation algorithm ensuring the movement of machine working elements<br>is implemented, and the principles of its operation as well as methods for organizing motion along a specified trajectory<br>are examined. The scientific novelty of the research lies in substantiating the possibility of high-precision machining based<br>on accurate determination of cutting tool motion geometry and correct formulation of the geometric problem.<br>The practical significance of the work is determined by the development of a real CNC machining control program using<br>interpolation algorithms within the part coordinate system. The study employs general scientific and specialized research<br>methods, including observation, comparison, analysis, and synthesis. The obtained results demonstrate that the proposed<br>approach enhances productivity, improves machining accuracy, and reduces time consumption.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18583934 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | MATHEMATICAL MODELING AND SOLUTION ALGORITHMS OF GEOMETRIC PROBLEMS IN NUMERICALLY CONTROLLED MACHINES Khasanov Bobirmirzo Makhmudali ugli Yusupov Sardorbek Ma'rufovich Abdullajonov Asadbek Sherzodbek ugli <p>At present, strengthening the practical orientation of education in the training of specialists is one of the most<br>relevant scientific and practical challenges. This issue can be effectively addressed by systematically motivating the<br>educational process and integrating theoretical knowledge with practical application. The main objective of this study is to<br>scientifically demonstrate the practical application of knowledge acquired in mathematics and automation of technological<br>processes.<br>The article provides a detailed analysis of solving geometric problems on computer numerical control (CNC) machine<br>tools. Within the framework of the study, an interpolation algorithm ensuring the movement of machine working elements<br>is implemented, and the principles of its operation as well as methods for organizing motion along a specified trajectory<br>are examined. The scientific novelty of the research lies in substantiating the possibility of high-precision machining based<br>on accurate determination of cutting tool motion geometry and correct formulation of the geometric problem.<br>The practical significance of the work is determined by the development of a real CNC machining control program using<br>interpolation algorithms within the part coordinate system. The study employs general scientific and specialized research<br>methods, including observation, comparison, analysis, and synthesis. The obtained results demonstrate that the proposed<br>approach enhances productivity, improves machining accuracy, and reduces time consumption.</p> |
| title | MATHEMATICAL MODELING AND SOLUTION ALGORITHMS OF GEOMETRIC PROBLEMS IN NUMERICALLY CONTROLLED MACHINES |
| url | https://doi.org/10.5281/zenodo.18583934 |