DOI: https://doi.org/10.15802/stp2013/14791

### To the question of modeling of wheels and rails wear processes

L. A. Manashkin, S. V. Myamlin

#### Abstract

Purpose. There is a need of wear process modeling in the wheel-rail system. This is related to the fact that the wear processes in this system are absolutely different in the initial and final stages. The profile change of rail and, especially, of the wheels caused by the wear significantly affects the rolling stock dynamics, traffic safety and the resource of the wheels and rails. Wear modeling and the traffic safety evaluation requires the accounting of the low frequency component forces (including the modeling of transitional areas) affecting the wheel on the side of the rail and carriage in motion of rolling stock, so the statistical analysis is not possible. Methodology. The method of mathematical modeling of the wheel set and the rail interaction was used during the research conducting. Findings. As a result of the modeling of the wheel set motion on the rail track, the mathematic model with 19 freedom degrees was obtained. This model takes into account the axle torque and studies wheels constructions as the components of the mechanical systems, consisting of a hub and tire. Originality. The mathematic model allows evaluating the wear degree of the wheels and rails when using on the rolling stock not only all-metal wheel sets, but also compound ones with the use of spring wheels and independent rotation of semi-axes with the wheels. Practical value. The development of the improved mathematical model of freight car wheel set motion with differential rotation of the wheels and compound axles allows studying the wear processes of wheels and rails.

#### Keywords

wear; modeling; traffic safety; wheel set oscillations; rolling stock dynamics

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#### References

Demin Yu.V., Dlugach L.A., Korotenko M.L., Markova O.M. Avtokolebaniya i ustoychivost dvizheniya re-lsovykh ekipazhey [Auto oscillations and motion stability of rail vehicles]. Kyiv, Naukova dumka Publ., 1984. 160 p.

Boronenko Yu.P., Orlova A.M. Razrabotka telezhek gruzovykh vagonov s osevoy nagruzkoy 30 t [Devel-opment of the freight car bogies axle loading]. Podvizhnoy sostav XXI: idei, trebovaniya, proekty [Rolling stock of XXI century: ideas, requirements, projects], 2007. pp. 5-12.

Viktorov I.A. Zvukovyye poverkhnostnyye volny v tverdykh telakh [Sound and surface waves in the solid bodies]. Moscow, Nauka Publ., 1981. 287 p.

Golubenko A.L. Stsepleniye kolesa s relsom [Wheel–rail adhesion]. Kiev, VІPOL Publ., 1993. 448 p.

De Pater A.D. Kolebaniya nelineynykh mekhanicheskikh sistem s zhestkimi ogranichitelyami [Oscillations of non-linear mechanical systems with hard limiters]. Trudy Mezhdunarodnogo simpoziuma po nelineynym kolebaniyam [Proc. of the Int. Symp. on Nonlinear Oscillations]. Kyiv, 1963, vol. 3, pp. 326-346.

Manashkin L.A., Myamlin S.V., Prikhodko V.I., Zhizhko V.V. K voprosu o predstavlenii dvizheniya kole-snoy pary v zadachakh dinamiki vagonov [On the problem of representation of the wheel set motion in the tasks of car dynamics]. Podvizhnoy sostav XXI: idei, trebovaniya, proekty [Rolling stock of XXI century: ideas, requirements, projects], 2011, issue 6, pp. 45-52.

Myamlin S.V. Modelirovaniye dinamiki relsovykh ekipazhey [Modeling of the railway vehicle dynamics]. Dnipropetrovsk, Novaya ideologiya Publ., 2002. 240 p.

Bosov A.A., Myamlin S.V., Panasenko V.Ya., Klimenko I.V. Puti sovershenstvovaniya konstruktsii telezhki gruzovogo vagona [Ways of improvement of the freight car bogire construction]. Visnyk Dnipropetrovskoho natsionalnoho universytetu zaliznychnoho transportu imeni akademika V. Lazariana [Bulletin of Dnipropetrovsk National University named after Academician V. Lazaryan], 2009, issue 29, pp. 27-32.

Orlova A.M., Lesnichiy V.S., Artamonov Ye.I. Issledovaniye vliyaniya sostoyaniya telezhek gruzovykh vagonov na bokovoy iznos grebney koles po rezultatam matematicheskogo modelirovaniya i obsledovaniya vagonov v ekspluatatsii [Impact research of condition of the freight car bogies on the wheel flange side wear on the results of mathematical modeling observation of the operated cars], 2008, issue 28, pp. 69-75.

Rukavichnikov V.A., Sakalo V.I. Issledovaniye sobstvennykh chastot kolebaniy zheleznodorozhnykh koles [Natural frequency research of the rail wheels oscillations]. Dinamika, prochnost i nadezhnost transportnykh mashin [Dynamics, durability and reliability of the transport vehicles], Bryansk, 1997. pp. 85-92.

Ushkalov V.F. Matematicheskoye modelirovaniye kolebaniy relsovykh transportnykh sredstv [Mathematic modeling of the rail vehicles oscillations]. Kyiv, Naukova dumka Publ., 1989. 240 p.

Beck H.-P. Aktive Schwingungsdämpfung in Triebachsen mittels selbsteinstellender Zustandsregelung. Elektrische Bahnen , 1999, no. 12, pp. 393-401.

Claus H., Schiehlen W. System Dynamics of Railcars with Radial- and Lateral Elastic Wheels. [System Dynamics and Long–Term Behaviour of Railway Vehicles, Track and Subgrade], Berlin, 2003, pp. 64-83.

Claus H.W., Schiehlen W. Dynamic Stability and Random Vibrations of Rigid and Elastic Wheelsets. Nonlinear Dynamics, 2004, no. 36, pp. 299-311.

Engel, B. Beck, H. P., Alders J. Verschleißreduzierende Rad-schlupfregelung mit hoher Kraftschlussaus-nutzung. Elektrische Bahnen , 1998, no. 6, pp. 201-209.

#### GOST Style Citations

1. Автоколебания и устойчивость движения рельсовых экипажей / Ю. В. Дёмин, Л. А. Длугач, М. Л. Коротенко, О. М. Маркова. – К. : Наукова думка, 1984. – 160 с.

2. Бороненко, Ю. П. Разработка тележек грузовых вагонов с осевой нагрузкой 30 т / Ю. П. Бороненко, А. М. Орлова // Подвижной состав XXI: идеи, требования, проекты. – СПб., 2007. – С. 5–12.

3. Викторов, И. А. Звуковые поверхностные волны в твёрдых телах / И. А. Викторов. – М. : Наука, 1981. – 287 с.

4. Голубенко, А. Л. Сцепление колеса с рельсом / А. Л. Голубенко. – Киев : ВІПОЛ, 1993. – 448 с.

5. Де Патер, А. Д. Колебания нелинейных механических систем с жесткими ограничителями / А. Д. Де Патер // Тр. международ. симп. по нелинейным колебаниям. – Т. 3. – К. : АН УССР. – 1963. – С. 326–346.

6. К вопросу о представлении движения колесной пары в задачах динамики вагонов / Л. А. Манашкин, С. В. Мямлин, В. И. Приходько, В. В. Жижко // Подвижной состав XXI века: идеи, требования, проекты. – СПб., 2011. – Вып. 6. – С. 45–52.

7. Мямлин, С. В. Моделирование динамики рельсовых экипажей / С. В. Мямлин. – Д. : Новая идеология, 2002. – 240 с.

8. Пути совершенствования конструкции тележки грузового вагона / А. А. Босов, С. В. Мямлин, В. Я. Панасенко, И. В. Клименко // Вісник Дніпропетр. нац. ун-ту залізн. трансп. ім. акад. В. Лазаряна. – Д., 2009. – Вип. 29. – С. 27–32.

9. Орлова, А. М. Исследование влияния со-стояния тележек грузовых вагонов на боковой износ гребней колес по результатам математического моделирования и обследования вагонов в эксплуатации / А. М. Орлова, В. С. Лесничий, Е. И. Артамонов // Вісник Дніпропетр. нац. ун-ту залізн. трансп. ім. акад. В. Лазаряна. – Д., 2008. – Вип. 28. –С. 69–75.

10. Рукавичников, В. А. Исследование собственных частот колебаний железнодорожных колес / В. А. Рукавичников, В. И. Сакало // Динамика, прочность и надежность трансп. машин : сборник науч. тр. – Брянск, 1997. – С. 85–92.

11. Ушкалов, В. Ф. Математическое моделирование колебаний рельсовых транспортных средств / В. Ф. Ушкалов. – К. : Наукова думка, 1989. – 240 с.

12. Beck, H.-P. Aktive Schwingungsdämpfung in Triebachsen mittels selbsteinstellender Zustandsregelung / H.-P. Beck // Elektrische Bahnen. – 1999. – № 12. – Р. 393–401.

13. Claus, H. System Dynamics of Railcars with Radial- and Lateral Elastic Wheels / H. Claus, W. Schiehlen // System Dynamics and Long–Term Behaviour of Railway Vehicles, Track and Subgrade. – Berlin, 2003. – P. 64–83.

14. Claus, H. Dynamic Stability and Random Vibrations of Rigid and Elastic Wheelsets / H. Claus, W. Schienlen // Nonlinear Dynamics. – 2004. – № 36. – P. 299–311.

15. Engel, B. Verschleißreduzierende Rad-schlupfregelung mit hoher Kraftschlussaus-nutzung / B. Engel, H. P. Beck, J. Alders // Elektrische Bahnen. – 1998. – № 6. – P. 201–209.

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