Geodesic
Qualitative Analysis of the Traction Force of a Rotating Drive Wheel with a Weightless Tire
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal Control and Differential Games, Tome 315 (2021), pp. 211-221.

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

A plane problem of controlled rotation of a wheel with a weightless tire is considered. The wheel is placed on a fixed base and is equipped with a shock absorber to damp vertical vibrations. For simplicity, horizontal motions of the rotation axis are not admitted. It is required to maximize the average traction force on a sufficiently long time interval by applying a bounded control torque on the rotation axis. A nonlinear mathematical model of the system is developed, with the tire modeled by a weightless solid hollow cylinder connected to the wheel disk by numerous weightless springs that are in a pretensioned state. Equations of motion are derived with the use of the quasistatic condition. The dynamics of the process and the maximum traction force are analyzed. 
@article{TM_2021_315_a14,
     author = {S. A. Reshmin},
     title = {Qualitative {Analysis} of the {Traction} {Force} of a {Rotating} {Drive} {Wheel} with a {Weightless} {Tire}},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {211--221},
     publisher = {mathdoc},
     volume = {315},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2021_315_a14/}
}
TY  - JOUR
AU  - S. A. Reshmin
TI  - Qualitative Analysis of the Traction Force of a Rotating Drive Wheel with a Weightless Tire
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2021
SP  - 211
EP  - 221
VL  - 315
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TM_2021_315_a14/
LA  - ru
ID  - TM_2021_315_a14
ER  - 
%0 Journal Article
%A S. A. Reshmin
%T Qualitative Analysis of the Traction Force of a Rotating Drive Wheel with a Weightless Tire
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2021
%P 211-221
%V 315
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TM_2021_315_a14/
%G ru
%F TM_2021_315_a14
S. A. Reshmin. Qualitative Analysis of the Traction Force of a Rotating Drive Wheel with a Weightless Tire. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Optimal Control and Differential Games, Tome 315 (2021), pp. 211-221. http://geodesic.mathdoc.fr/item/TM_2021_315_a14/

[1] Hao D., Zhao C., Huang Y., “A reduced-order model for active suppression control of vehicle longitudinal low-frequency vibration”, Shock Vib., 2018 (2018), 5731347

[2] Mescherskii I.V., Sbornik zadach po teoreticheskoi mekhanike, 34-e izd., Nauka, M., 1975

[3] Popp K., Schiehlen W., Ground vehicle dynamics, Springer, Berlin, 2010

[4] Reshmin S.A., “The effect of loss of traction under asymmetric vibrations of the drive wheels of the vehicle”, Proc. 14th Int. Conf. “Stability and Oscillations of Nonlinear Control Systems” (Pyatnitskiy's Conference) (STAB) (Moscow, 2018), IEEE, Piscataway, NJ, 2018, 1–2

[5] S. A. Reshmin, “Qualitative analysis of the undesirable effect of loss of traction force of a vehicle during an intense start”, Dokl. Phys., 64:1 (2019), 30–33 | DOI

[6] S. A. Reshmin, “The analysis of the loss of the traction effect during an intensive start of a vehicle”, J. Comput. Syst. Sci. Int., 58:3 (2019), 349–359 | DOI | MR

[7] Schiehlen W., Eberhard P., Applied dynamics, Springer, Cham, 2014

[8] V. Ph. Zhuravlev, “On plane self-excited vibrations of a cantilever suspended wheel”, Mech. Solids, 47:2 (2012), 155–159 | DOI

[9] V. Ph. Zhuravlev, D. M. Klimov, and P. K. Plotnikov, “A new model of shimmy”, Mech. Solids, 48:5 (2013), 490–499 | DOI

[10] V. F. Zhuravlev and G. M. Rozenblat, “On vibrations of a wheel carriage in the presence of friction”, Dokl. Phys., 56:2 (2011), 118–121 | DOI | MR

[11] V. Ph. Zhuravlev and G. M. Rozenblat, “On the instability of a car in the vertical plane under rectilinear motion with friction forces taken into account”, Mech. Solids, 46:4 (2011), 495–507 | DOI