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.
| Mualliflar | Abdullaaziz Artikbaev, Mokhiniso Toshmatova |
|---|---|
| Jurnal | Ўзбекистон Республикаси ИИВ Академияси Ахборотномаси |
| Nashriyot | Ўзбекистон Республикаси ИИВ Академияси |
| ISSN | 2181-2438, 3060-5164 |
| Nashr sanasi | 2025-03-31 |
| Jild | 2 |
| Son | 1 |
| Betlar | 158-162 |
| Til | Ingliz |
| DOI | 10.56143/jot-journal.v2i1.267 |
| Indeksga qo‘shilgan | 2026-09-02 |
DOI: 10.56143/jot-journal.v2i1.267 · Maqolaning asl sahifasi
| APA | Abdullaaziz Artikbaev, & Mokhiniso Toshmatova (2025). Mathematical model of railway plan. Ўзбекистон Республикаси ИИВ Академияси Ахборотномаси, 2(1), 158-162. https://doi.org/10.56143/jot-journal.v2i1.267 |
|---|---|
| GOST (OAK) | Abdullaaziz Artikbaev, Mokhiniso Toshmatova Mathematical model of railway plan // Ўзбекистон Республикаси ИИВ Академияси Ахборотномаси. – 2025. – T. 2, № 1. – P. 158-162. – DOI: 10.56143/jot-journal.v2i1.267. |
| MLA | Abdullaaziz Artikbaev, and Mokhiniso Toshmatova. “Mathematical model of railway plan.” Ўзбекистон Республикаси ИИВ Академияси Ахборотномаси, 2(1), 158-162, 2025. https://doi.org/10.56143/jot-journal.v2i1.267 |
| Chicago | Abdullaaziz Artikbaev, and Mokhiniso Toshmatova. “Mathematical model of railway plan.” Ўзбекистон Республикаси ИИВ Академияси Ахборотномаси, 2(1), 158-162 (2025). https://doi.org/10.56143/jot-journal.v2i1.267 |
| Harvard | Abdullaaziz Artikbaev, and Mokhiniso Toshmatova (2025) ‘Mathematical model of railway plan’, Ўзбекистон Республикаси ИИВ Академияси Ахборотномаси, 2(1), 158-162. https://doi.org/10.56143/jot-journal.v2i1.267 |
| BibTeX | @article{abdullaazizartikbaev2025,
title = {Mathematical model of railway plan},
author = {Abdullaaziz Artikbaev and Mokhiniso Toshmatova},
journal = {Ўзбекистон Республикаси ИИВ Академияси Ахборотномаси},
year = {2025},
volume = {2},
number = {1},
pages = {158-162},
doi = {10.56143/jot-journal.v2i1.267},
url = {https://doi.org/10.56143/jot-journal.v2i1.267}
} |
Boshqa maqola uchun iqtibos tayyorlash
Today, in all developing countries, one of the urgent problems of development of not only railwaytransport, but also other sectors, the economy as a whole, is the introduction of energy and resourcesavingtechnologies…
Ushbu maqolada UzTE16M teplovozi sovutish tizimidagi sovutish suvi talab darajasida tayyorlanmaganligidan va tizimda suv bilan harakatlanayotgan begona elementlar tufayli kelib chiquvchi nosozliklarmi oldini oish orqali…
This study examines the business stability of industrial enterprises by analyzing external and internal factors. Using expert assessments and economic-mathematical modeling, we propose a comprehensive methodology for…
Статья посвящена изучению и формированию принципа уличной архитектуры как неотъемлемой, фундаментальной части формирования облика современного города Андижана, Узбекистан. В ней анализируется, как городские магистрали…
The article analyzes automation and telemechanics systems, as well as signaling, centralization and communication devices at railway stations. The question of improvement of group dialing blocks (NM2P and NM2AP)…
Ushbu maqolada atmosferada kuzatiladigan asosiy optik hodisalar - kamalak, galo va fatamorgana hodisalarining fizik mexanizmlari, ularning hosil bo‘lish shartlari va xususiyatlari chuqur tahlil qilingan. Tadqiqotning…
В статье представлена концепция создания автоматизированной национальной информационной системы оперативного управления грузовыми перевозками (АНИСОУГП). Исследуются существующие проблемы действующей системы (АСОУП)…
Ushbu maqolada mahalliy ikkilamchi chiqindi xomashyolardan foydalanib, sintetik cho‘yan ishlab chiqarish texnologiyasini yaratish va amaliyotga tatbiq etish muammolari o‘rganildi. Tadqiqot jarayonida qayta ishlangan…
Temir yo‘llarda vagon oqimlarini tashkil etish yo‘riqnomasida har bir poyezd tuzish yo‘nalishi kesimida vagonlarning belgilangan meyor bo‘yicha yig‘ilishiga sarflanadigan vagon-soatlarni to‘planish parametri asosida…
Ushbu maqolada tortuv elektr dvigatelining sistemasida izolyatsiya materialining tarkibiy qismlari o‘rtasida yuklanishining taqsimlanishini optimallashtirish, quvvatini oshirish va izolyatsiya qatlamlarining potensial…
Ўзбекистон Республикаси ИИВ Академияси Ахборотномаси — barcha maqolalar · 2025-yil arxivi