Qualitative analysis of the dynamics of a wheeled vehicle

DOI10.1134/S156035471506009XzbMath1367.70035OpenAlexW2299381572MaRDI QIDQ283364

Alexander A. Kilin, Alexey V. Borisov, Ivan. A. Bizyaev, Ivan. S. Mamaev

Publication date: 13 May 2016

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s156035471506009x

zbMATH Keywords

system dynamicsnonholonomic constraintChaplygin systemwheeled vehicle

Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Dynamics of multibody systems (70E55) Nonholonomic dynamical systems (37J60)

Related Items (13)

Regular and chaotic motions of a Chaplygin sleigh under periodic pulsed torque impacts ⋮ Control of body motion in an ideal fluid using the internal mass and the rotor in the presence of circulation around the body ⋮ Dynamics of multi-link uncontrolled wheeled vehicle ⋮ On the Hadamard-Hamel problem and the dynamics of wheeled vehicles ⋮ Historical and critical review of the development of nonholonomic mechanics: the classical period ⋮ Dynamical systems with non-integrable constraints, vakonomic mechanics, sub-Riemannian geometry, and non-holonomic mechanics ⋮ The Integrable Problem of the Rolling Motion of a Dynamically Symmetric Spherical Top with One Nonholonomic Constraint ⋮ The inertial motion of a \textit{roller racer} ⋮ Invariant Submanifolds of Genus 5 and a Cantor Staircase in the Nonholonomic Model of a Snakeboard ⋮ Exotic dynamics of nonholonomic roller racer with periodic control ⋮ The dynamics of a Chaplygin sleigh with an elastic internal rotor ⋮ Euler elasticas for optimal control of the motion of mobile wheeled robots: the problem of experimental realization ⋮ Qualitative analysis of the nonholonomic rolling of a rubber wheel with sharp edges

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