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Nonlinear dynamics and stability of the skateboard

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Publication:964157
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DOI10.3934/dcdss.2010.3.85zbMath1278.70010OpenAlexW2018239100MaRDI QIDQ964157

Alexander S. Kuleshov, Andrey V. Kremnev

Publication date: 15 April 2010

Published in: Discrete and Continuous Dynamical Systems. Series S (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdss.2010.3.85


zbMATH Keywords

nonholonomic constraintsstability of motionskateboardGibbs-Appell equations


Mathematics Subject Classification ID

Nonholonomic systems related to the dynamics of a system of particles (70F25) Stability problems in rigid body dynamics (70E50) Motion of a rigid body in contact with a solid surface (70E18) Integrable cases of motion in rigid body dynamics (70E40)


Related Items (6)

A historical review on nonholomic mechanics ⋮ Linearization approaches for general multibody systems validated through stability analysis of a benchmark bicycle model ⋮ Geometric constraints in the problem of motion of a caster board ⋮ The dynamics of a Chaplygin sleigh with an elastic internal rotor ⋮ Stability analysis of a waveboard multibody model with toroidal wheels ⋮ Contact Hamiltonian and Lagrangian systems with nonholonomic constraints




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