Condition for Vehicle Rollover Stability on a Lateral Slope During Firing with Account of Suspension and Tire Deformation
Abstract
Purpose. To improve the methodological approach to determining the rollover stability condition of a vehicle on a lateral slope during firing by taking into account the deformation of suspension elements and tires, which affect the position of the center of mass and the lever arms of external forces.
Method. The methodological framework is based on an analytical approach combining the principles of vehicle dynamics, elements of internal ballistics, and mathematical modeling of impulse loads. Methods of force and moment decomposition, geometric analysis of the center of mass displacement, a systems approach to describing the interaction between sprung and unsprung masses, and algorithmic modeling for formalizing stability conditions are applied.
Findings. An improved mathematical expression for the rollover stability condition of a vehicle has been developed. Unlike existing models, it accounts for changes in the system geometry caused by the deformation of suspension components and tires. Dependencies for determining the displacement of the center of mass and the point of application of the recoil force have been established, enabling a more accurate assessment of the ratio between overturning and restoring moments under real operating conditions.
Practical value of the study. The proposed methodology can be used to justify the selection of weapon systems for combat vehicles and unmanned platforms, to assess permissible operating conditions on sloped surfaces, and in the design and modernization of vehicle chassis with regard to stability requirements. In addition, the results can be applied to develop recommendations for firing modes and for adjusting suspension parameters and tire pressure.
Paper type. Scientific and applied (methodological) article.
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References
Bilenko, O., & Shabatura, S. (2024). The condition of the vehicle's stability to overturning on a surface with a lateral slope when firing from the weapon. Honor and Law, 4(91), 22–27. https://doi.org/10.33405/2078-7480/2024/4/91/324061
Gillespie, T. D. (1992). Fundamentals of vehicle dynamics. SAE International. https://doi.org/10.4271/R-114
Milliken, W. F., & Milliken, D. L. (1995). Race car vehicle dynamics. SAE International. https://www.sae.org/books/race-car-vehicle-dynamics-r-146/
Wong, J. Y. (2010). Terramechanics and off-road vehicle engineering (2nd ed.). Butterworth-Heinemann. https://doi.org/10.1016/B978-0-7506-8561-0.00014-X
Bekker, M. G. (1969). Introduction to terrain-vehicle systems. University of Michigan Press. https://books.google.com.ua/books?id=Q5dTAAAAMAAJ
Hovorushchenko, M. Ya., & Turenko, A. M. (n.d.). Ekspluatatsiini vlastyvosti avtomobiliv. Kharkiv National Automobile and Highway University. https://af.khadi.kharkov.ua/chairs/inzhiniringu-sistem-avtomobilnogo-transportu-im-govorushchenka-mja/navchalna-robota/
Volkov, V. P. (n.d.). Teoriia ekspluatatsiinykh vlastyvostei avtomobiliv. Kharkiv National Automobile and Highway University. https://scholar.google.com.ua/citations?user=U84wC8MAAAAJ&hl=uk
Wong, J. Y. (2008). Theory of ground vehicles (4th ed.). Wiley. https://doi.org/10.1002/9780470381021
Reina, G., Paiano, M., & Blanco-Claraco, J. (2020). Vehicle dynamics modelling and stability analysis for unmanned ground vehicles. Journal of Field Robotics. https://doi.org/10.1002/rob.21927
Gonzalez, R., Rodriguez, F., & Garcia, J. (2021). Stability analysis of unmanned ground vehicles on uneven terrain. Robotics and Autonomous Systems. https://doi.org/10.1016/j.robot.2007.03.003
Shojaei, K., & Shahriari, M. (2013). Stability analysis and control of a mobile robot on sloped terrain. International Journal of Advanced Robotic Systems. https://doi.org/10.5772/56833
Kaidalov, R. O., Bilenko, O. I., & Kudimov, S. A. (2022). Pokaznyky ta kryterii boiovoi zhyvuchosti bronovanykh kolisnykh mashyn. Zbirnyk naukovykh prats Natsionalnoi akademii Natsionalnoi hvardii Ukrainy, 2(40), 35–40. https://doi.org/10.33405/2409-7470/2022/2/40/270529
Korn, G., & Korn, T. (1984). Dovidnyk z matematyky dlia naukovykh pratsivnykiv ta inzheneriv (Trans. from English). Tekhnika.
Sakhno, V. P., Poliakov, V. M., Kostenko, A. V., et al. (2015). Ekspluatatsiini vlastyvosti avtotransportnykh zasobiv (Vols. 1–3, Part 3: Manevrenist. Kerovanist. Stiikist). LANDON-XXI.
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