Integration of kinematic and dynamic mathematical models of a two-axle electric car in the problem of estimating its stability on turns

Keywords: a car with electric drive, movement along a road curve, kinematic and dynamic mathematical models, integration, non-skidding and non-overturning conditions

Abstract

Object of research: the process of movement of cars with internal combustion engines or the electric drive on a road curve.

Investigation problem: assessment of the stability of cars with internal combustion engines or electric drive on a road curve and determination of conditions of its ensuring.

The main scientific result. The article evaluated the stability of cars with internal combustion engines or electric drive on a road curve and determines the conditions of its ensuring using an algorithm that combines mathematical models of car movement on a road curve, synthesized based on balance equations of both kinematics and dynamics. The proposed models consider the change in speed of cars while driving on a road curve, and therefore belong to the class of differential equations. The analysis of these models allows calculating changes in time of values of limiting and critical speeds of movement of the car on a road curve. The article identifies the prospects of integration into this set of mathematical models another one, synthesized in the space of linguistic variables that characterize the uncertainty of the road surface and the degree of tire wear on different wheels of the car.

The area of practical application of the research results: Automotive enterprises specializing in equipping cars with traffic control systems.

Innovative technological product: A method of determining the limiting parameters of movement of the car on road curves, at which the car does not overturn while passing turns, and an algorithm for its implementation, which combines kinematic and dynamic mathematical models of car movement on the road curve.

Scope of application of the innovative technological product: Equipping cars with additional control systems that assess the critical values of the traffic parameters on turns to ensure the conditions of non-overturning when the car passes these turns

Downloads

Download data is not yet available.

Author Biography

Vadym Horeniuk, Vinnytsia National Technical University

Department of Electromechanical Systems Automation in Industry and Transport

References

Schofield, B., Hagglund, T., Rantzer, A. (2006). Vehicle dynamics control and controller allocation for rollover prevention. 2006 IEEE Conference on Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 149–154. doi: http://doi.org/10.1109/cacsd-cca-isic.2006.4776639

Reński, A. (2015). Investigation of the Influence of the Centre of Gravity Position on the Course of Vehicle Rollover. 24th Enhanced Safety of Vehicles Conference, Gothenburg. Available at: https://www.researchgate.net/publication/279449206

Long, V. H., Phong, D. V. (2007). Cornering Path of the Vehicle in Case of Sliding. Technische Mechanik, 28 (3-4), 356–362. Available at https://journals.ub.ovgu.de/index.php/techmech/article/view/855

Lu, D., Ma, Y., Yin, H., Deng, Z., Qi, J. (2020). Development and Validation of Electronic Stability Control System Algorithm Based on Tire Force Observation. Applied Sciences, 10 (23), 8741. doi: http://doi.org/10.3390/app10238741

Jin, H., Li, S. (2015). Research on Stability Control Based on the Wheel Speed Difference for the AT Vehicles. Discrete Dynamics in Nature and Society, 2015, 1–8. doi: http://doi.org/10.1155/2015/251207

Mokin, O. B., Mokin, B. I. (2010). Matematychni modeli obmezhen na liniinu ta kutovu shvydkosti dvokhosovoho avtomobilia pid chas rukhu po zakruhlenniu dorohy. Visnyk Vinnytskoho politekhnichnoho instytutu, 1, 64–67. Available at: https://visnyk.vntu.edu.ua/index.php/visnyk/article/view/1727

Mokin, O. B., Mokin, B. I. (2009). Matematychna model dvovisnoho avtomobilia v zadachi keruvannia yoho rukhom za vidsutnosti obizdiv i obhoniv. Naukovi pratsi VNTU, 4. Available at: https://core.ac.uk/download/pdf/52160604.pdf

Pavlovskyi, M. A. (2002). Teoretychna mekhanika. Kyiv: Tekhnika, 512.

Nenaidenko, A. S., Poddubnii, V. I. (2018). Matematicheskoe modelirovanie dvizheniia kolesnoi mashiny v gorizontalnoi ploskosti. Vestnik KrasGAU, 3, 72–77.

Piskunov, N. S. (1976). Differentsialnoe i integralnoe ischislenie. Vol. 1. Moscow: Nauka, 456.

Mokin, O. B., Foliushniak, O. D. (2010). Matematychna model v prostori linhvistychnykh zminnykh umov neperevertannia elektromobilia na povoroti dorohy. Visnyk Vinnytskoho politekhnichnoho instytutu, 1, 85–88. Available at: https://visnyk.vntu.edu.ua/index.php/visnyk/article/view/1161


👁 38
⬇ 17
Published
2021-10-29
How to Cite
Horeniuk, V. (2021). Integration of kinematic and dynamic mathematical models of a two-axle electric car in the problem of estimating its stability on turns. ScienceRise, (5), 23-29. https://doi.org/10.21303/2313-8416.2021.002145
Section
Innovative technologies in industry