The dynamical model of the rolling friction of spherical bodies on a plane without slipping

DOI10.20537/nd1704012zbMath1386.70032OpenAlexW2776871517MaRDI QIDQ4605675

Anton Klekovkin, Yury L. Karavaev, Alexander A. Kilin

Publication date: 23 February 2018

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd589

zbMATH Keywords

dynamical modelrolling frictionexperimental investigationspherical bodynonholonomic model

Mathematics Subject Classification ID

Problems involving a system of particles with friction (70F40) Motion of a rigid body in contact with a solid surface (70E18) Collision of rigid or pseudo-rigid bodies (70F35)

Related Items (6)

The influence of the first integrals and the rolling resistance model on tippe top inversion ⋮ Invariant Submanifolds of Genus 5 and a Cantor Staircase in the Nonholonomic Model of a Snakeboard ⋮ Dynamics of a spherical robot with variable moments of inertia and a displaced center of mass ⋮ A parabolic Chaplygin pendulum and a Paul trap: nonintegrability, stability, and boundedness ⋮ A nonholonomic model of the Paul trap ⋮ Criteria of Motion Without Slipping for an Omnidirectional Mobile Robot

Cites Work

• Unnamed Item
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• Nonholonomic dynamics and control of a spherical robot with an internal omniwheel platform: theory and experiments
• Experimental investigation of the motion of a body with an axisymmetric base sliding on a rough plane
• On the motion of Chaplygin's sphere on a horizontal plane
• The rolling motion of a truncated ball without slipping and spinning on a plane
• Experimental and theoretical investigation of the energy dissipation of a rolling disk during its final stage of motion
• Experimental research of dynamic of spherical robot of combined type
• Rolling friction and energy dissipation in a spinning disc

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