Mathematical modeling and solution algorithms of geometric problems in numerically controlled machines

Khasanov , Bobirmirzo, Yusupov , Sardorbek, Abdullajonov , Asadbek

Innovation science and technologiy · 2026-yil

Annotatsiya

At present, strengthening the practical orientation of education in the training of specialists is one of the mostrelevant scientific and practical challenges. This issue can be effectively addressed by systematically motivating theeducational process and integrating theoretical knowledge with practical application. The main objective of this study is toscientifically demonstrate the practical application of knowledge acquired in mathematics and automation of technologicalprocesses.The article provides a detailed analysis of solving geometric problems on computer numerical control (CNC) machinetools. Within the framework of the study, an interpolation algorithm ensuring the movement of machine working elementsis implemented, and the principles of its operation as well as methods for organizing motion along a specified trajectoryare examined. The scientific novelty of the research lies in substantiating the possibility of high-precision machining basedon accurate determination of cutting tool motion geometry and correct formulation of the geometric problem.The practical significance of the work is determined by the development of a real CNC machining control program usinginterpolation algorithms within the part coordinate system. The study employs general scientific and specialized researchmethods, including observation, comparison, analysis, and synthesis. The obtained results demonstrate that the proposedapproach enhances productivity, improves machining accuracy, and reduces time consumption.

Maqola ma’lumotlari
MualliflarKhasanov , Bobirmirzo, Yusupov , Sardorbek, Abdullajonov , Asadbek
JurnalInnovation science and technologiy
NashriyotТошкент давлат иқтисодиёт университети
Nashr sanasi2026-02-01
Jild2
Son2
TilIngliz
Ilmiy sohaTexnika
DOI10.5281/zenodo.18583934
Indeksga qo‘shilgan2026-08-26

DOI: 10.5281/zenodo.18583934 · Maqolaning asl sahifasi

Kalit so‘zlar

interpolation, numerical control, technological equipment, machining quality, technological process, geometric problem.

Ilmiy soha

Texnika

Iqtibos keltirish

APAKhasanov , Bobirmirzo, Yusupov , Sardorbek, & Abdullajonov , Asadbek (2026). MATHEMATICAL MODELING AND SOLUTION ALGORITHMS OF GEOMETRIC PROBLEMS IN NUMERICALLY CONTROLLED MACHINES. Innovation science and technologiy, 2(2). https://doi.org/10.5281/zenodo.18583934
GOST (OAK)Khasanov , Bobirmirzo, Yusupov , Sardorbek, Abdullajonov , Asadbek MATHEMATICAL MODELING AND SOLUTION ALGORITHMS OF GEOMETRIC PROBLEMS IN NUMERICALLY CONTROLLED MACHINES // Innovation science and technologiy. – 2026. – T. 2, № 2. – DOI: 10.5281/zenodo.18583934.
MLAKhasanov , Bobirmirzo, Yusupov , Sardorbek, and Abdullajonov , Asadbek. “MATHEMATICAL MODELING AND SOLUTION ALGORITHMS OF GEOMETRIC PROBLEMS IN NUMERICALLY CONTROLLED MACHINES.” Innovation science and technologiy, 2(2), 2026. https://doi.org/10.5281/zenodo.18583934
ChicagoKhasanov , Bobirmirzo, Yusupov , Sardorbek, and Abdullajonov , Asadbek. “MATHEMATICAL MODELING AND SOLUTION ALGORITHMS OF GEOMETRIC PROBLEMS IN NUMERICALLY CONTROLLED MACHINES.” Innovation science and technologiy, 2(2) (2026). https://doi.org/10.5281/zenodo.18583934
HarvardKhasanov , Bobirmirzo, Yusupov , Sardorbek, and Abdullajonov , Asadbek (2026) ‘MATHEMATICAL MODELING AND SOLUTION ALGORITHMS OF GEOMETRIC PROBLEMS IN NUMERICALLY CONTROLLED MACHINES’, Innovation science and technologiy, 2(2). https://doi.org/10.5281/zenodo.18583934
BibTeX
@article{khasanovbobirmirzo2026,
  title = {MATHEMATICAL MODELING AND SOLUTION ALGORITHMS OF GEOMETRIC PROBLEMS IN NUMERICALLY CONTROLLED MACHINES},
  author = {Khasanov , Bobirmirzo and Yusupov , Sardorbek and Abdullajonov , Asadbek},
  journal = {Innovation science and technologiy},
  year = {2026},
  volume = {2},
  number = {2},
  doi = {10.5281/zenodo.18583934},
  url = {https://doi.org/10.5281/zenodo.18583934}
}

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