Planar and spatial mathematical motion simulation of open pit mining vehicles

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Authors:

K.М. Bass, Cand. Sci. (Tech.), Associate Professor, State Higher Educational Institution “National Mining University”, Head of the Department of Automobiles and Automobile Management, Dnipropetrovsk, Ukraine

S.M. Kuvayev, Cand. Sci. (Tech.), Associate Professor, State Higher Educational Institution “National Mining University”, Senior Lecturer of the Department of Automobiles and Automobile Management, Dnipropetrovsk, Ukraine

V.V. Plakhotnik, Cand. Sci. (Tech.), Associate Professor, State Higher Educational Institution “National Mining University”, Senior Lecturer of the Department of Automobiles and Automobile Management, Dnipropetrovsk, Ukraine

V.V. Krivda, State Higher Educational Institution “National Mining University”, Research Fellow of the Department of Automobiles and Automobile Management, Dnipropetrovsk, Ukraine

Abstract:

The article presents the mathematical simulations of dump truck linear motion along a straight road segment as a motion of multimass system with eight degrees of freedom.

Purpose. To analyze the results of the study of dump truck dynamic and traction-speed performance in the course of motion.

Methodology. General scientific and special study methods, including scientific generalization, methods of integrated assessment of technical level, mathematical modeling and linear programming were used. To solve the problem we have formulated differential equations of motion, using the Lagrange equations of the second kind and the corresponding expressions of kinetic and potential energy as well as dissipative function.

Findings. By mathematical calculations in the Wolfram Mathematica software, the traction and dynamic characteristics calculation method for the dump truck moving along the road with longitude inclination was received.

Originality. A planar and spatial design diagrams and motion equations of the vehicle in the course of straight-line motion were made, considering elastic and dissipative characteristics of elastic constraints, longitudinal slope and road profile, changes of design characteristics which can provide a near real picture of motion dynamics.

Practical value. The method of calculation of the dump truck dynamic characteristics in motion has been developed. Based on the analysis of the dump truck design parameters presented, one may provide recommendations on reduction in capital expenditure for development of a quarry. 

References:

1. Zyryanov, I.V. (2006), “Improved effectiveness of systems career vehicles in extreme conditions”, Abstract of Dr. dissertation, Mining Machines, St. Petersburg, Russia.

Зырянов И.В. Повышение эффективности систем карьерного автотранспорта в экстремальных условиях эксплуатации: автореф. дисс. на соискание научн. степени д-ра техн. наук / Зырянов И.В. СПб, 2006. 40 с.

2. Bunyakin, A.V. (2004), “Complex evaluation and prediction of dump truck exploitation quality”, Abstract of Cand. Sci. (Tech.) dissertation, Mining Machines, Kemerovo, Russia.

Бунякин А.В. Комплексная оценка и прогнозирование показателей качества эксплуатации карьерных автосамосваловавтореф. дисс. на соискание научн. степени канд. техн. наук / Бунякин А.В.  Кемерово, 2004. – 25 с.

3. Smirnov, G.A. (1990), Teoriya dvizheniya kolesnykh mashin [Wheeled Vehicles Motion Theory], Mashinostroyeniye, Moscow, Russia.

Смирнов Г.А. Теория движения колесных машин / Смирнов Г.А.  М.: Машиностроение, 1990. – 352 с.

4. Basmanov, S.V. and Voronov, Yu.Ye. (2007), “Mathematical optimization model of the open pit dump truck parameters”, Izvestiya vysshykh uchebnykh zavedeniy. Gornyzhurnal, Yekaterinburg,no.8, pp. 58–62.

Басманов С.В. Математическая модель оптимизации параметров карьерных автосамосвалов / С.В. Басманов, Ю.Е. Воронов // Известия высших учебных заведений. Горныйжурнал.2007. –№ 8. – С. 58–62.

5. Mokin, B.I. and Mokin, O.B. (2008), “Mathematical simulations of the multimass distributed dynamic systems for optimization purposes”, Visnyk Vinnytskoho Politekhnichnoho instytutu, no.6, pp. 55–58.

Мокін Б.І. Математичні моделі багатомасових розподілених динамічних систем для задач оптимізації (частина 1) / Б. І. Мокін, О. Б. Мокін // Вісник Вінницького політехнічного інституту. – 2008. – № 6. – С. 55–58.

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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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