Mathematical model of railway plan

Artykbaev, Abdullaaziz, Toshmatova, Mokhiniso

Транспорт хабарномаси · 2025-yil

Annotatsiya

The long-term practice of drawing up a railway plan is based on a curve formed by the projection of the center of the rolling stock onto a horizontal plane. At the same time, this curve is considered flat. The railway plan itself consists of straight parts and a curved part connecting these straight parts. The existence of a curved part in the railway plan is natural. The work substantiates that the railway plan in the curved part can be interpreted as a spatial curve and a natural trihedron can be constructed. With the help of this, the Frenier formula is determined. This formula, from the course on differential curve geometry, is proposed to be accepted as a mathematical model of the railway plan. Frenier's formula is a system of differential equations. Moreover, this system has a solution for a given curvature and torsion. Thus, it is possible to find the equation of the curve of the part of the railway plan.

Maqola ma’lumotlari
MualliflarArtykbaev, Abdullaaziz, Toshmatova, Mokhiniso
JurnalТранспорт хабарномаси
NashriyotТошкент давлат транспорт университети
ISSN2181-2438, 3060-5164
Nashr sanasi2025-11-21
Jild2
Son1
Betlar158-162
TilIngliz
Ilmiy sohaTexnika
Indeksga qo‘shilgan2026-08-26

Maqolaning asl sahifasi

Kalit so‘zlar

railway plan, radius of a curve, curvature of an osculating circle, osculating plane, railway design, torsion, arc length, osculating trihedron

Ilmiy soha

Texnika

Iqtibos keltirish

APAArtykbaev, Abdullaaziz, & Toshmatova, Mokhiniso (2025). Mathematical model of railway plan. Транспорт хабарномаси, 2(1), 158-162. https://jot.tstu.uz/index.php/jot-journal/article/view/41
GOST (OAK)Artykbaev, Abdullaaziz, Toshmatova, Mokhiniso Mathematical model of railway plan // Транспорт хабарномаси. – 2025. – T. 2, № 1. – P. 158-162.
MLAArtykbaev, Abdullaaziz, and Toshmatova, Mokhiniso. “Mathematical model of railway plan.” Транспорт хабарномаси, 2(1), 158-162, 2025. https://jot.tstu.uz/index.php/jot-journal/article/view/41
ChicagoArtykbaev, Abdullaaziz, and Toshmatova, Mokhiniso. “Mathematical model of railway plan.” Транспорт хабарномаси, 2(1), 158-162 (2025). https://jot.tstu.uz/index.php/jot-journal/article/view/41
HarvardArtykbaev, Abdullaaziz, and Toshmatova, Mokhiniso (2025) ‘Mathematical model of railway plan’, Транспорт хабарномаси, 2(1), 158-162. https://jot.tstu.uz/index.php/jot-journal/article/view/41
BibTeX
@article{artykbaevabdullaaziz2025,
  title = {Mathematical model of railway plan},
  author = {Artykbaev, Abdullaaziz and Toshmatova, Mokhiniso},
  journal = {Транспорт хабарномаси},
  year = {2025},
  volume = {2},
  number = {1},
  pages = {158-162},
  url = {https://jot.tstu.uz/index.php/jot-journal/article/view/41}
}

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