COORDINATE MODELS OF TRACK TRAJECTORY
Abstract
The author describes theoretical fundamentals, used to proceed with mathematical treatment of the results of measurements of parameters of technical conditions of the rail track. The calculations use different variants of assessment. The first one considers comparable data of two cycles of control. The second one proceeds with superposed, monitoring-based analysis of the indices received out of several measuring cycles with predetermined time intervals and dynamics (mobility) of the points of geodesic network.
Keywords
rail track,
monitoring of technical conditions,
assessment methods,
coordinate and time parameters,
theory of evaluation of repeatable measurements,
mobility of geodesic network points,
mathematical methods of data treatment,
theorems,
consequences
Supporting agencies: The researches have been conducted in the framework of the project 11–08–13131-ofi- М-2011- RZD.
About the Author
A. S. Matveev
Moscow State University of Railway Engineering (MIIT), Moscow
Russian Federation
Russian Federation
Ph.D. (Tech), associate professor
(495) –684–24–07References
1. Альберт А. Регрессия, псевдообращение и рекуррентное оценивание. – М.: Наука, 1977. – 221 с. Albert A. A. Regression and the Moore-Penrose Pseudoinverse [Russian title: Regressiya, psevdoobraschenie i rekurrentnoye otsenivaniye]. Moscow, Nauka publ., 1977, 221 p.
2. Воеводин В. В., Кузнецов Ю. А. Матрицы и вычисления. – М.: Наука, 1984. – 320 с. Voevodin V. V., Kuznetsov Yu.A. Matrix and calculations [Matritsy i vychisleniya]. Moscow, Nauka publ., 1984, 320 p.
3. Грооп Д. Методы идентификации систем. – М.: Мир, 1979. – 302 с. Graupe Daniel. Identification of Systems [Russian title: Metody identificatsii system]. Moscow, Mir publ., 1979, 302 p.
4. Зыков А. А. Основы теории графов. – М.: Вузовская книга, 2004. – 664 с. Zykov A. A. Fundamentals of graph theory [Osnovy teorii grafov]. Moscow, Vuzovskaya kniga publ., 2004, 664 p.
5. Лёвин Б. А., Круглов В. М., Матвеев С. И. и др. Геоинформатика транспорта. – М.: ВИНИТИ РАН, 2006. – 336 с. Lievin B. A., Kruglov V. M., Matveev S. I. et al. Transport Geoinformatics [Geoinformtika transporta]. Moscow, VINITI RAN, 2006, 336 p.
6. Лоусон Ч., Хенсон Р. Численное решение задач метода наименьших квадратов. – М.: Наука, 1986. – 232 с. Lawson Charles N., Hanson Richard J. Solving Least Squares Problems [Russian title: Chislennoye reshenie zadach metoda naimenshih kvadratov]. Moscow, Nauka publ., 1986, 232 p.
7. Матвеев С. И. Геометрия группового уравнивания // Геодезия и картография. – 1997. – № 10. – С. 13–16. Matveev S. I. Geometry of group adjustment [Geometriya gruppovogo vyravnivaniya]. Geodesiya i kartografiya [Geodesy and cartography], 1997, No 10, pp. 13–16.
8. Матвеев С. И., Коугия В. А. Высокоточные цифровые модели пути и спутниковая навигация железнодорожного транспорта. – М.: Маршрут, 2005. – 290 с. Matveev S. I., Kougiya V. A. High-precision digital models of rail track and satellite navigation of railways [Visokotochnye tsifrovye modeli puti i sputnikovaya navigatsiya zheleznodorozhnogo transporta]. Moscow, Marshrut publ., 2005, 290 p.
9. Матвеев С. И., Розенберг И. Н. Графы и навигация. – М.: ВИНИТИ РАН, 2011. – 196 с. Matveev S. I., Rozenberg I. N. Graphs and navigation [Grafy i navigatsiya]. Moscow, VINITI RAN, 2011, 196 p.
10. Тертычный–Даури В. Ю. Адаптивная механика – 2-е изд., перераб. и доп. – М.: Факториал Пресс, 2003. – 464 с. Tertuchni-Dauri V. Yu. Adaptive mechanics [Adaptivnaya mehanika]. 2d ed., rev. and enlarged. Moscow, Factorial Press, 2003, 464 p.
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For citations:
Matveev A.S. COORDINATE MODELS OF TRACK TRAJECTORY. World of Transport and Transportation. 2013;(3):22-27. (In Russ.)
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