The brachistochronic motion of a vertical disk rolling on a horizontal plane without slip
| Autor: | Radoslav Radulović, Slaviša Šalinić, Aleksandar Obradovic |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2017 |
| Předmět: |
Physics
Coulomb dry friction Applied Mathematics Mechanical Engineering 010102 general mathematics Computational Mechanics brachistochronic motion Geometry 02 engineering and technology Slip (materials science) rolling without slip Horizontal plane 01 natural sciences Physics::Popular Physics optimal control 020303 mechanical engineering & transports 0203 mechanical engineering 0101 mathematics nonholonomic constraints lcsh:Mechanics of engineering. Applied mechanics lcsh:TA349-359 |
| Zdroj: | Theoretical and Applied Mechanics, Vol 44, Iss 2, Pp 237-254 (2017) |
| ISSN: | 2406-0925 1450-5584 |
| Popis: | This paper deals with the brachistochronic motion of a thin uniform disk rolling on a horizontal plane without slip. The problem is formulated and solved within the frame of the optimal control theory. The brachistochronic motion of the disk is controlled by three torques. The possibility of the realization of the brachistochronic motion found in presence of Coulomb dry friction forces is inspected. Also, the influence of values of the coefficient of dry friction on the structure of the extremal trajectory is analyzed. Two illustrative numerical examples are provided. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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