 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ÏÌÌ): | | 9713
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| In English (J. Appl. Math. Mech.): | | 799 |
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| << Previous article | Volume 80, Issue 2 / 2016 | Next article >> |
| G.M. Rozenblat, "The controlled motion of a bicycle," J. Appl. Math. Mech. 80 (2), 133-140 (2016) |
| Year |
2016 |
Volume |
80 |
Issue |
2 |
Pages |
133-140 |
| DOI |
10.1016/j.jappmathmech.2016.06.004 |
| Title |
The controlled motion of a bicycle |
| Author(s) |
G.M. Rozenblat (Moscow State Automobile and Road Technical University, Moscow, gr51@mail.ru) |
| Abstract |
The motion of a vertically positioned bicycle is considered when a horizontal control force, which may be both internal and external in relation to the bicycle, is applied to its pedal. Tangential forces of dry friction obeying the Euler–Coulomb law act at points of contact of the wheels with the horizontal support plane. The constraint at the points of contact of the wheels with the support is assumed to be unilateral. The problem of determining the acceleration of the centre of mass of the bicycle and the realized motions of its wheels (with or without slip, and with or without detachment) with different values of the design parameters and control force is solved. Cases of non-uniqueness of motion - the Painlevé paradox - are found. |
| Received |
13 January 2015 |
| Link to Fulltext |
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