On the brachistochronic motion of the Chaplygin sleigh

DOI10.1007/s00707-013-0878-2zbMath1355.49016OpenAlexW2032838345WikidataQ59400314 ScholiaQ59400314MaRDI QIDQ368193

Slaviša Šalinić, Srdjan Rusov, Aleksandar Obradović, Zoran Mitrović

Publication date: 18 September 2013

Published in: Acta Mechanica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00707-013-0878-2

Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Motion of a rigid body in contact with a solid surface (70E18) Optimality conditions for free problems in one independent variable (49K05)

Related Items (4)

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 ⋮ Contribution to the determination of the global minimum time for the brachistochronic motion of a holonomic mechanical system

Cites Work

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• On the brachistochrone of a variable mass particle in general force fields
• Time-integral theorems for nonholonomic systems
• Brachistochronic motion of a nonholonomic rheonomic mechanical system
• The hydrodynamic Chaplygin sleigh
• Existence and structure of minimum-time control for multiple robot arms handling a common object
• Der Schlitten
• Necessary Conditions Joining Optimal Singular and Nonsingular Subarcs

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