© Bohdan Sokil, Doctor of Technical Sciences,
Professor, Head of the Department, ORCID: 0000-0001-8551-7348,
e-mail: sokil_bi@ukr.net
Hetman Petro Sahaidachny National Military Academy
© Maria Sokil, PhD in Technical Sciences, associate professor, associate professor, ORCID: 0000-0003-3352-2131,
e-mail: mariia.b.sokil@lpnu.ua
Lviv Polytechnic National University
© Yaroslav Romanchuk, PhD in Physics and Mathematics Sciences, Senior Research Fellow, Senior Lecturer of the Department,
ORCID: 0000-0003-3993-0128, e-mail: romanchuky@ukr.net
Hetman Petro Sahaidachny National Military Academy
Dynamics of the suspension part of a wheeled vehicle
and motion stability
DOI: 10.33868/0365-8392-2022-1-273-53-60
Abstract. The article investigates the influence of longitudinal-angular vibrations of the sprung mass of wheeled vehicles (WV) with nonlinear characteristics of the suspension system and kinematic parameters of move-ment along the curved sections of the road on the stability of WV. The main results of the work were obtained using the equations of kinetic statics, a mathematical model of relative nonlinear longitudinal-angular oscillations of the sprung mass (SM), based on the analysis of the quantitative and qualitative influence of the main force parameters of the suspension system (SS) and the determining parameters of longitudinal-angular oscillations of the SM on the level of interaction of the tires with the road coating. The critical speed of steady movement of the vehicle is determined as a function of the geometric and power parameters of the SS, the characteristics of the road surface, and the amplitude of longitudinal and angular oscillations. The numerical analysis of obtained ratios has shown that the critical values of steady motion speed for the skidding of the WV along the curved sections of the road are different: a) a larger value of the amplitude of SM oscillations corresponds to a smaller value of the critical speed of steady motion; b) it is significantly overestimated if the longitudinal and angular fluctuations of the sprung mass are not taken into account; c) the value is bigger for WV with the progressive force characteristic of the shock absorbers at small amplitudes of oscillations compared to the linear force characteristic (under the condition of equality of static deformation), and vice versa for the “large” ones; d) the value for the regressive force characteristic of elastic shock absorbers at small amplitudes of oscillations is smaller than for the linear characteristic of the shock absorbers, and the opposite for the “large” ones; e) the critical value of the speed of steady motion is bigger for the progressive characteristic of elastic shock absorbers at larger values of the static deformation of the SS and, on the contrary, it is smaller for the regressive one. The obtained results can be used for the designing or modernization of suspensions and well as a basis for development of a new software product for the controlled suspension systems. They coincide in the limiting case with those known in the scientific literature, which confirms their credibility.
Keywords: Oscillations of sprung mass, amplitude, frequency, critical speed of steady motion.
References
1. Latifundist Media. (2022). Funktsionuvannia transportnoho sektoru Ukrainy v umovakh pravovoho rezhymu voiennoho stanu. [Functioning of the transport sector of Ukraine under the legal regime of martial law]. Retrieved November 14 2022 from https://niss.gov.ua/sites/default/files/2022-04/transport_oglyad_130422.pdf. [in Ukrainian]
2. B. I. Sokil, R. A. Nanivskyi, M. H. Hrubel. (2013). Vlasni vertykalni kolyvannia korpusu avtomobilia z urakhuvanniam neliniinykh kharakterystyk pruzhnoi pidvisky. [Own vertical oscillations of the car body, taking into account the nonlinear characteristics of the elastic suspension]. Highway of Ukraine, 235, 15–18. [in Ukrainian]
3. Andrukhiv A. I., Huzyk N. М., Nanivskyy R. А., Sokil M. B. (2018). Influence of force characteristics of combat-wheeled vehicles’ system of sprinkling on shooting efficiency on move. Military Technical Collection of Hetman Petro Sahaidachny National Army Academy, 18, 3–8. doi:10.33577/2312-4458.18.2018.3-8 [in English]
4. Nanivskyi R. A. (2020). Analitychnyi metod doslidzhennia pozdovzhno-kutovykh kolyvan kolisnykh transportnykh zasobiv iz neliniinoiu sylovoiu kharakterystykoiu systemy pidresoriuvannia. [Analytical method of studying longitudinal-angular vibrations of wheeled vehicles with a nonlinear force characteristic of the suspension system]. Collection of Scientific Works of the National Academy of the National Guard of Ukraine, 1, 35, 21–29.
[in Ukrainian]
5. M. A. Podrygalo, V. P. Volkov, A. A. Boboshko, V. A. Pavlenko, M. V. Baytsur, A. I. Nazarov, V. O. Alekseyev. (2006). Ustoychivost′ kolesnykh mashin protiv zanosa v protsesse tormozheniya i puti yeye povysheniya. Under the editorship of M. A. Podrygalo. [Stability of wheeled vehicles against skidding during braking and ways to improve it]. Kharkiv, KHNADU, 337.
[in Russian]
6. Bashynskyi A. L. (2017). Metod otsinky poperechnoi stiikosti avtomobilia pid chas naizdu na pereshkodu za umovy zcheplennia kolis [The method of assessing the transverse stability of a car when hitting an obstacle with wheel traction]. Automobile transport, 40, 88–93.
[in Ukrainian]
7. Vikovych I. A. (2013). Teoriia rukhu transportnykh zasobiv: pidruchnyk [Theory of movement of vehicles: a textbook]. Lviv, Lviv Polytechnic Publishing House, 672
[in Ukrainian]
8. Manziak M. O., Krainyk L. V., Hrubel M. H. (2021). Tendentsii rozvytku konstruktsii pidvisok viiskovykh avtomobiliv. [Trends in the development of military vehicle suspension structures]. Weapon
systems and military equipment, 1, 65, 28–33. [in Ukrainian]
9. M. H. Hrubel, R. A. Nanivskyi, M. B. Sokil. (2014). Kolyvannia PCh KTZ ta yikh vplyv na stiikist rukhu vzdovzh kryvoliniinoi dilianky shliakhu. [Oscillations of the sprung part of a wheeled vehicle and their effect on the stability of movement along a curved section of the road]. Scientific bulletin of the NFUU, Lviv, EPD NFUU, 24.1, 155–162. [in Ukrainian]
10. Liashuk O. L., Sokil M. B., Marunych O. P. (2016). Doslidzhennia pozdovzhno-kutovykh kolyvan kolisnykh transportnykh zasobiv. [Study of longitudinal and angular vibrations of wheeled vehicles]. Materials of the 19th scientific conference of the TNTU named after I. Pulyuy. Ternopil, 62–63.
[in Ukrainian]
11. Sokil B., Lyashuk O., Sokil M., Popovich P., Vovk Y. and Perenchuk O. (2018). Dynamic Effect of Cushion Part of Wheeled Vehicles on Their Steerability. International. Journal of Automotive and Mechanical Engineering, 15, 1, March, 4880–4892. Doi/org/10/15282/ijame/15.1.2018.1.030 [in English]
12. Pavlovskyi M. A. (2002). Teoretychna mekhanika. Pidruchnyk. [Theoretical mechanics. Textbook]. Kyiv, Machinery, 512. [in Ukrainian]