The dynamics of the Chaplygin ball with a fluid-filled cavity

DOI10.1134/S156035471305002XzbMath1286.70008OpenAlexW1985310916MaRDI QIDQ2449281

Alexey V. Borisov, Ivan. S. Mamaev

Publication date: 7 May 2014

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

Full work available at URL: https://doi.org/10.1134/s156035471305002x

zbMATH Keywords

integrabilityinvariant measurerigid bodyideal fluidnonholonomic constraintvortex motionChaplygin ball

Mathematics Subject Classification ID

Vortex flows for incompressible inviscid fluids (76B47) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (9)

Topology of the isoenergy manifolds of the Kirchhoff rigid body case on \(e(3)\) ⋮ On the control of a robot ball using two omniwheels ⋮ The Jacobi integral in nonholonomic mechanics ⋮ The dynamics of nonholonomic systems consisting of a spherical shell with a moving rigid body inside ⋮ Special solutions of a high-order equation for waves in a liquid with gas bubbles ⋮ The dynamics and control of a spherical robot with an internal omniwheel platform ⋮ Dynamics and control of an omniwheel vehicle ⋮ Different models of rolling for a robot ball on a plane as a generalization of the Chaplygin ball problem ⋮ Hamiltonization of elementary nonholonomic systems

Cites Work

• The stability of a fluid-filled top rotating on a horizontal plane
• Rolling of a homogeneous ball over a dynamically asymmetric sphere
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