Geodesic
Mathematical Model of Flat Defect's Position on Car Wheel on Account of Suspension Mechanism Resistance and Vertical Roughness of the Rail
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2010), pp. 178-187.

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

In the article the problem of developing a flat defect (“slider”) on the surface of riding the car wheel at various speeds is dealt with. It is shown, that residual vertical deformation considerably decreases at speeds less than critical as early as during the first. Later on deformation decreases slower due to the increase of the area of contact and strengthening of material when multicyclic loading is applied. At speeds higher than critical one the front edge of the “slider” loses contact with the rail, and the wheel hits the rail with the back edge of the newly formed area at every cycle. Rolling of the “slider” takes place. The influence of rigidity of suspension bracket and unevenness of track on the developing of “slider” at low speeds is slight, but it becomes greater at speeds higher than critical one.
Keywords: mathematical modeling, coach wheel, flat defect, differential equation, plastic deformation. 
@article{VSGTU_2010_1_a19,
     author = {L. V. Kudyurov and D. S. Garipov},
     title = {Mathematical {Model} of {Flat} {Defect's} {Position} on {Car} {Wheel} on {Account} of {Suspension} {Mechanism} {Resistance} and {Vertical} {Roughness} of the {Rail}},
     journal = {Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences},
     pages = {178--187},
     publisher = {mathdoc},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a19/}
}
TY  - JOUR
AU  - L. V. Kudyurov
AU  - D. S. Garipov
TI  - Mathematical Model of Flat Defect's Position on Car Wheel on Account of Suspension Mechanism Resistance and Vertical Roughness of the Rail
JO  - Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
PY  - 2010
SP  - 178
EP  - 187
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a19/
LA  - ru
ID  - VSGTU_2010_1_a19
ER  - 
%0 Journal Article
%A L. V. Kudyurov
%A D. S. Garipov
%T Mathematical Model of Flat Defect's Position on Car Wheel on Account of Suspension Mechanism Resistance and Vertical Roughness of the Rail
%J Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences
%D 2010
%P 178-187
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a19/
%G ru
%F VSGTU_2010_1_a19
L. V. Kudyurov; D. S. Garipov. Mathematical Model of Flat Defect's Position on Car Wheel on Account of Suspension Mechanism Resistance and Vertical Roughness of the Rail. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2010), pp. 178-187. http://geodesic.mathdoc.fr/item/VSGTU_2010_1_a19/

[1] L. V. Kudyurov, V. V. Fedorov, V. P. Chervinskii, “Otsenka ploschadi kontakta i glubiny ostatochnoi plasticheskoi deformatsii oboda kolesa vagona”, Tr. Mezhdunarodnogo kongressa «Mekhtribotrans», RGU, Rostov-na-Donu, 2003, 57–58

[2] L. V. Kudyurov, D. S. Garipov, “O razvitii «polzuna» na poverkhnosti kataniya kolesa s uchetom uprugosti podveski i vertikalnoi nerovnosti relsa pri malykh skorostyakh poezda”, Mekhanika i protsessy upravleniya, Tr. XXXVIII Uralskogo seminara, 1, UrO RAN, Ekaterinburg, 2008, 219–229

[3] E. Kamke, Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1976 | MR

[4] S. V. Serensen, V. P. Kogaev, R. M. Shneiderovich, Nesuschaya sposobnost i raschety detalei mashin na prochnost, Rukovodstvo i spravochnoe posobie, ed. S. V. Serensen, Mashinostroenie, M., 1975

[5] G. M. Shakhunyants, Zheleznodorozhnyi put, Transport, M., 1987

[6] L. M. Kachanov, Osnovy teorii plastichnosti, Nauka, M., 1969