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Terminal motion of a thin elliptical plate over a horizontal plane with orthotropic friction. / Dmitriev, N. N.; Silantyeva, O. A.

In: Vestnik St. Petersburg University: Mathematics, Vol. 49, No. 1, 01.01.2016, p. 92-98.

Research output: Contribution to journal › Article › peer-review

Harvard

Dmitriev, NN & Silantyeva, OA 2016, 'Terminal motion of a thin elliptical plate over a horizontal plane with orthotropic friction', Vestnik St. Petersburg University: Mathematics, vol. 49, no. 1, pp. 92-98. https://doi.org/10.3103/S1063454116010052

APA

Dmitriev, N. N., & Silantyeva, O. A. (2016). Terminal motion of a thin elliptical plate over a horizontal plane with orthotropic friction. Vestnik St. Petersburg University: Mathematics, 49(1), 92-98. https://doi.org/10.3103/S1063454116010052

Vancouver

Dmitriev NN, Silantyeva OA. Terminal motion of a thin elliptical plate over a horizontal plane with orthotropic friction. Vestnik St. Petersburg University: Mathematics. 2016 Jan 1;49(1):92-98. https://doi.org/10.3103/S1063454116010052

Author

Dmitriev, N. N. ; Silantyeva, O. A. / Terminal motion of a thin elliptical plate over a horizontal plane with orthotropic friction. In: Vestnik St. Petersburg University: Mathematics. 2016 ; Vol. 49, No. 1. pp. 92-98.

BibTeX

@article{6736afbbcac74202bad641846b39e96e,
title = "Terminal motion of a thin elliptical plate over a horizontal plane with orthotropic friction",
abstract = "The problem on the terminal motion of a thin elliptic plate over a horizontal plane taking into account orthotropic friction forces has been considered. Differential equations of the movement of the plate have been derived. The system of equations has been numerically solved under various initial conditions. It has been shown that sliding and spinning cease simultaneously. It has been found that the limiting behavior of the plate is governed not only by the ratio of the moment of inertia to the coefficient of friction, but also by the orientation of the plate. A comparison of the behaviors of the elliptic and circular plates has been carried out. The results of the calculations can be used to describe the phenomena that occur in a rail–wheel contact in more detail.",
keywords = "elliptic plate, orthotropic friction, terminal motion",
author = "Dmitriev, {N. N.} and Silantyeva, {O. A.}",
year = "2016",
month = jan,
day = "1",
doi = "10.3103/S1063454116010052",
language = "English",
volume = "49",
pages = "92--98",
journal = "Vestnik St. Petersburg University: Mathematics",
issn = "1063-4541",
publisher = "Pleiades Publishing",
number = "1",

}

RIS

TY - JOUR

T1 - Terminal motion of a thin elliptical plate over a horizontal plane with orthotropic friction

AU - Dmitriev, N. N.

AU - Silantyeva, O. A.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - The problem on the terminal motion of a thin elliptic plate over a horizontal plane taking into account orthotropic friction forces has been considered. Differential equations of the movement of the plate have been derived. The system of equations has been numerically solved under various initial conditions. It has been shown that sliding and spinning cease simultaneously. It has been found that the limiting behavior of the plate is governed not only by the ratio of the moment of inertia to the coefficient of friction, but also by the orientation of the plate. A comparison of the behaviors of the elliptic and circular plates has been carried out. The results of the calculations can be used to describe the phenomena that occur in a rail–wheel contact in more detail.

AB - The problem on the terminal motion of a thin elliptic plate over a horizontal plane taking into account orthotropic friction forces has been considered. Differential equations of the movement of the plate have been derived. The system of equations has been numerically solved under various initial conditions. It has been shown that sliding and spinning cease simultaneously. It has been found that the limiting behavior of the plate is governed not only by the ratio of the moment of inertia to the coefficient of friction, but also by the orientation of the plate. A comparison of the behaviors of the elliptic and circular plates has been carried out. The results of the calculations can be used to describe the phenomena that occur in a rail–wheel contact in more detail.

KW - elliptic plate

KW - orthotropic friction

KW - terminal motion

UR - http://www.scopus.com/inward/record.url?scp=84979561887&partnerID=8YFLogxK

U2 - 10.3103/S1063454116010052

DO - 10.3103/S1063454116010052

M3 - Article

AN - SCOPUS:84979561887

VL - 49

SP - 92

EP - 98

JO - Vestnik St. Petersburg University: Mathematics

JF - Vestnik St. Petersburg University: Mathematics

SN - 1063-4541

IS - 1

ER -

ID: 15766270