| Conţinutul numărului revistei |
| Articolul precedent |
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 SM ISO690:2012BARSUK, Alexander A., PALADI, Florentin. On parametric representation of brachistochrone problem with Coulomb friction. In: International Journal of Non-Linear Mechanics, 2023, nr. 148, pp. 1-8. ISSN 0020-7462. DOI: https://doi.org/10.1016/j.ijnonlinmec.2022.104265 |
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 International Journal of Non-Linear Mechanics |
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| Numărul 148 / 2023 / ISSN 0020-7462 | ||||||
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| DOI:https://doi.org/10.1016/j.ijnonlinmec.2022.104265 | ||||||
| Pag. 1-8 | ||||||
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The motion of a material point along a trajectory located in a vertical plane and connecting two given fixed points is considered. It is assumed that the motion occurs in a homogeneous field of gravity and taking into account the Coulomb friction caused by statical and dynamical reactions of the support curve. The classical problem of finding a curve of fastest descent for a material point sliding with friction from one fixed point to another, that is, a trajectory for which the descent time is the shortest, i.e. the problem of brachistochrone, is discussed. A parametric method for solving the brachistochrone problem with Coulomb friction is proposed and the solution of the variational problem is given in the form of quadratures. |
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| Cuvinte-cheie Brachistochrone, Coulomb friction, Optimal trajectory, Parametric representation, Statical and dynamical reactions |
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