On the motion of a heavy material point on a rotating sphere (dry friction case)

DOI10.1134/S1560354715030028zbMath1378.70006OpenAlexW2145929052MaRDI QIDQ500457

Ekaterina S. Shalimova, Alexander A. Burov

Publication date: 2 October 2015

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

Full work available at URL: https://doi.org/10.1134/s1560354715030028

zbMATH Keywords

dry frictionabsolute and relative equilibriabifurcations of equilibriamotion of a particle on a sphere

Mathematics Subject Classification ID

Equilibria and periodic trajectories for nonlinear problems in mechanics (70K42) Bifurcations and instability for nonlinear problems in mechanics (70K50) Problems involving a system of particles with friction (70F40) Motion of a rigid body in contact with a solid surface (70E18)

Related Items (3)

On the motion of a point particle on a homogeneous gravitating ball with a spherical cavity in the presence of dry friction ⋮ On relative equilibria on the surface of a spherical cavity inside a uniformly rotating gravitating ball ⋮ Relative equilibria of a heavy point on a uniformly rotating inclined plane

Uses Software

• Pasimodo

Cites Work

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• Rolling of a homogeneous ball over a dynamically asymmetric sphere
• Stability and convergence of mechanical systems with unilateral constraints
• Steady and periodic modes in the problem of motion of a heavy material point on a rotating sphere (the viscous friction case)
• Stability of a gyroscope having a vertical axis of the outer ring with dry friction in the gimbal axes taken into account
• On the stability of equilibrium states for systems with dry friction
• Represented value sets for integral binary quadratic forms and lattices
• Investigation of the stability of a gyroscope taking into account the dry friction on the axis of the inner cardan ring (gimbal)

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