Brachistochrone with limited reaction of constraint in an arbitrary force field

DOI10.1007/S11071-011-0258-1zbMath1297.70008OpenAlexW2046898510WikidataQ59400325 ScholiaQ59400325MaRDI QIDQ1928927

Aleksandar Obradović, Zoran Mitrović, Srdjan Rusov, Slaviša Šalinić

Publication date: 4 January 2013

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0258-1

zbMATH Keywords

Coulomb frictionPontryagin's maximum principleshooting methodsingular controlviscous friction

Mathematics Subject Classification ID

Computational methods for problems pertaining to mechanics of particles and systems (70-08) Problems involving a system of particles with friction (70F40) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45)

Related Items (4)

A qualitative analysis of the brachistochrone problem with dry friction and maximizing the horizontal range ⋮ The brachistochronic motion of a wheeled vehicle ⋮ Realization of the brachistochronic motion of Chaplygin sleigh in a vertical plane with an unilateral nonholonomic constraint ⋮ Realizing brachistochronic planar motion of a variable mass nonholonomic mechanical system by an ideal holonomic constraint with restricted reaction

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