Geodesic
A variable structure model to study a four-wheels vehicle skid with slipping wheels
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2024), pp. 40-45 
A. V. Vlakhova; A. P. Novoderova. A variable structure model to study a four-wheels vehicle skid with slipping wheels. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (2024), pp. 40-45. http://geodesic.mathdoc.fr/item/VMUMM_2024_3_a5/
@article{VMUMM_2024_3_a5,
     author = {A. V. Vlakhova and A. P. Novoderova},
     title = {A variable structure model to study a four-wheels vehicle skid with slipping wheels},
     journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
     pages = {40--45},
     year = {2024},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMUMM_2024_3_a5/}
}
TY  - JOUR
AU  - A. V. Vlakhova
AU  - A. P. Novoderova
TI  - A variable structure model to study a four-wheels vehicle skid with slipping wheels
JO  - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY  - 2024
SP  - 40
EP  - 45
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/VMUMM_2024_3_a5/
LA  - ru
ID  - VMUMM_2024_3_a5
ER  - 
%0 Journal Article
%A A. V. Vlakhova
%A A. P. Novoderova
%T A variable structure model to study a four-wheels vehicle skid with slipping wheels
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 2024
%P 40-45
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_2024_3_a5/
%G ru
%F VMUMM_2024_3_a5

Voir la notice de l'article provenant de la source Math-Net.Ru

Using the “bicycle” model, the dynamics of a biaxial four-wheeled vehicle is studied at the initial stage of skidding, which develops as a result of slipping of the driving axis wheels. To describe the interaction of wheels with the reference plane, the Coulomb friction model, the lateral slip model and the nonholonomic model are used. The construction of a model of the variable structure describing the stages of movement of the vehicle is carried out. Asymptotic methods and the phase plane method are used for the study.

[1] Vlakhova A.V., Matematicheskie modeli dvizheniya kolesnykh apparatov, ANO “Izhevskii institut kompyuternykh issledovanii”, M.–Izhevsk, 2014 | MR

[2] Novozhilov I.V., Fraktsionnyi analiz, Izd-vo MGU, M., 1995 | MR

[3] Vasileva A.B., Butuzov V.F., Asimptoticheskie metody v teorii singulyarnykh vozmuschenii, Vysshaya shkola, M., 1990 | MR

[4] Vlakhova A.V., Novoderova A.P., “Modelirovanie zanosa apparata s povernutymi perednimi kolesami”, Izv. RAN. Mekhan. tverdogo tela, 2019, no. 1, 23–49 | DOI

[5] Volskaya N.S., Razrabotka metodov rascheta oporno-tyagovykh kharakteristik kolesnykh mashin po zadannym dorozhno-gruntovym usloviyam v raionakh ekspluatatsii, Dokt. dis., M., 2008

[6] Pacejka H.B., Tyre and Vehicle Dynamics, Butterworth-Heinemann, Oxford, 2006

[7] Novozhilov I.V., Kruchinin P.A., Magomedov M.Kh., “Kontaktnye sily vzaimodeistviya kolesa s opornoi poverkhnostyu”, Sb. nauchno-metod. statei, 23, Izd-vo MGU, M., 2000, 86–95

[8] Vlakhova A.V., Novozhilov I.V., “O zanose kolesnogo ekipazha pri “blokirovke” i “probuksovke” odnogo iz koles”, Fund. i prikl. matem., 11:7 (2005), 11–20

[9] Vlakhova A.V., Novozhilov I.V., Smirnov I.A., “Matematicheskoe modelirovanie zanosa avtomobilya”, Vestn. Mosk. un-ta. Matem. Mekhan., 2007, no. 6, 44–50 | Zbl

[10] Litvinov A.S., Upravlyaemost i ustoichivost avtomobilya, Mashinostroenie, M., 1971

[11] Bolotin S.V., Karapetyan A.V., Kugushev E.I., Treschev D.V., Teoreticheskaya mekhanika, Akademiya, M., 2010