# Науковий вісник НГУ

## Longitudinal dynamics of mine suspended monorail

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Authors:

V.О. Gutarevich, Cand. Sci. (Tech.), Associate Professor, State Higher Educational Institution “Donetsk National Technical University”, doctoral candidate, Donetsk, Ukraine

Abstract:

Purpose. To establish the relationship between the parameters of the train set and suspended monorail and to reduce the longitudinal vibrations of the shaft suspended monorail affecting the stability and safety of traffic at mining enterprises.

Methodology. The mathematical model of the motion of suspended monorail crews considered as a system of elastic bodies interconnected. The mathematical models are systems of differential equations, numerical solution of which is obtained by the Runge-Kutta method using the software package Mathcad.

Findings. Theoretical studies of the interaction of train set and suspended monorail have been carried out. The variation limit of the coordinates and velocity components of the suspended monorail have been determined. We have found out the influence of elastic-dissipative links on the parameters of motion during the suspended train set braking. The motion of suspended carriages with bulky cargo has been analyzed. We have found that the longitudinal dynamic forces can exceed the applied braking forces by more than 1.6 times. The deviation of cargo from the vertical that periodically arises during braking is in the limits from 0.05 to 0.61 rad. To reduce the oscillations it is sufficient to increase the value of the damping coefficient only for braking cars avoiding the train set design complicating.

Originality. The article presents the mathematical description of the longitudinal dynamics of mine suspended monorail and establishes the influence of the suspended monorail parameters on the fluctuations of the train set that occur during braking.

Practical value. The results allow us to determine reasonable parameters for modernization of the existing and design of new mine suspended monorails and improve their operation safety.

References:

1. Ziborov, K.A., Protsiv, V.V., Blokhin, S.Ye. and Fedoriachenko, S.O. (2013), “Applicability of computer simulation while designing mechanical systems of mining rolling stock”, Naukovyi Visnyk Natsionalnoho Hirnychoho Universytetu, Dnepropetrovsk, Issue 6, pp. 55–59.

Применение компьютерного моделирования при проектировании механических систем шахтного рельсового транспорта / К.А. Зиборов, В.В. Процив, С.Е. Блохин, С.А. Федоряченко // Научный вестник НГУ. – 2013. – № 6. – С. 55–59.

2. Kovalev, R.V., Fedyayeva, G.A. and Fedyayev, V.N. (2007), “Simulation of electro-mechanical lokomotive system”, Sbornik Trudov DIIT, Dnepropetrovsk, no. 14, pp. 123–127.

Ковалев Р.В. Моделирование электромеханической системы тепловозов / Р.В. Ковалев, Г.А. Федяева, В.Н. Федяев // Сборник трудов ДИИТ. – 2007. – № 14. – С. 123–127.

3. Popp, K. and Schiehlen, W. (2010), “Ground vehicle dynamics”, Springer-Verlag, Berlin.

4. Lee, Ch.H., Kawatani, M., Kim, Ch.W., Nishimura, N. andKobayashi, Y.(2006),“Dynamic response of a monorail steel bridge under a moving train”, Journal of Sound and Vibration, no. 294(3), pp. 562-579.

5. Bauchau, O.A. (2011), “Flexible multibody dynamics”, Springer, London, New-York.

6. Museros, P., Moliner, E. and Martinez-Rodrigo, M.D. (2013), “Free vibrations of simply-supported beam bridges under moving loads: Maximum resonance, cancellation and resonant vertical acceleration”, Journal of Sound and Vibration, Vol. 332, Issue 2, pp. 326–345.

7. Ziegler, F. (1998), “Mechanics of solids and fluids”, Springer-Verlag, New-York, Vienna.

8. Gutarevych, V.O. and Budishevsky, V.A. (2010), “Justification of the settings of a clamping suspended monorail locomotive”, Naukovi Pratsi DonNTU. Seriia: “Hirnycho-elektromekhanichna”, no. 19(175), pp. 55–64.

Гутаревич В.О. Обоснование параметров прижимных устройств подвесных монорельсовых локомотивов/ В.О. Гутаревич, В.А. Будишевский// Наукові праці ДонНТУ. Серія: „Гірничо-електромеханічна“. – 2010. – Вип. 19(175). – С.55–64.

9. Budіshesvky, V.O., Matsenko, V.M. and Dvornіkov, V.І. (2009), Proektuvannia ta konstruiuvannia transportnykh і pіdiimalnykh mashyn ta kompleksі[Design and Construction of Transport and Hoisting Machines and Complexes], Veber, Donetsk, Ukraine.

Проектування та конструювання транспортних і підіймальних машин та комплексів / [Будішевський В.О., МаценкоВ.М., Дворніков В.І. та ін.] – Донецьк: Изд-во „Вебер“, 2009. – 599 с.

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ISSN (print) 2071-2227,
ISSN (online) 2223-2362.
Journal was registered by Ministry of Justice of Ukraine.
Registration number КВ No.17742-6592PR dated April 27, 2011.

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