Practical Application of Running-in of Flat Curves by Plane
Abstract: The point task of running-in of flat curves by a plane by methods of BN-calculus (point calculus of Balyuba-Naydysh [1]) and the practical application of such a run-in are considered. The possibility of a point, and with it a parametric task of running-in follows from the fact that only in this calculus there are opportunities to work with such objects of space. Two plane curves are defined by tangents, each of the curves is defined by two free functions and is located in its own plane. The condition is taken into account that the tangents intersect or are parallel, which is determined by the dependence of four functions. At the same time, this dependence determines the running-in plane and the forming of the ruled surface. The resulting run-in of flat curves with a plane can be used in computer modeling of machine-building parts, as well as in the calculation and design of metal-cutting tools using computer technology.
Keywords: flat curve, rolling by a plane, tangent, free function, dependent function, metal-cutting instrument.
Pages: 105-109.
For citation: Malyutina, T. P. Practical Application of Running-in of Flat Curves by Plane. – Text : electronic. – In: Proceeding of the Donbas National Academy of Civil Engineering and Architecture. – 2022. – Issue 2022-3(155) Buildings and structures using new materials and technologies. – Р. 105-109. – URL: https://donnasa.ru/publish_house/journals/vestnik/2022/2022-3(155)/st_17_maluytina.pdf (date of access: 19.11.2024). – ISSN 2519-2817.
Issue 2022-3 (155)
Journal: Proceeding of the Donbas National Academy of Civil Engineering and Architecture
Publish house: Donbas National Academy of Civil Engineering and Architecture
Journal: Proceeding of the Donbas National Academy of Civil Engineering and Architecture
Publish house: Donbas National Academy of Civil Engineering and Architecture