The Dynamics of a Tippe Top

DOI10.1137/S0036139992235123zbMath0805.70008OpenAlexW2064297750MaRDI QIDQ4305371

A. C. Or

Publication date: 13 October 1994

Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036139992235123

zbMATH Keywords

rollingslidingcontact frictionspinning topsix degree-of-freedom motion

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Free motion of a rigid body (70E15) Stability for problems in linear vibration theory (70J25) Motion of the gyroscope (70E05)

Related Items (15)

Can a gyroscope reverse its spin direction? ⋮ The turnover of a tippy top ⋮ A hemispherical tippe top ⋮ Dynamics of the Tippe Top-properties of numerical solutions versus the dynamical equations ⋮ Dissipative motion of a spinning heavy symmetric top ⋮ Towards a prototype of a spherical tippe top ⋮ The rolling motion of a truncated ball without slipping and spinning on a plane ⋮ The influence of the first integrals and the rolling resistance model on tippe top inversion ⋮ Non‐holonomic rolling of a ball on the surface of a rotating cylinder ⋮ The dynamics of a bouncing superball with spin ⋮ Dynamics of the tippe top via Routhian reduction ⋮ Integrable nonsmooth nonholonomic dynamics of a rubber wheel with sharp edges ⋮ Dissipation-induced instabilities in finite dimensions ⋮ Theoretical and experimental investigations of the rolling of a ball on a rotating plane (turntable) ⋮ Active stabilization of rotors with circulating forces due to spinning dissipation

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