On the stability of Crandall gyropendulum

DOI10.1016/j.physleta.2007.07.024zbMath1217.70008OpenAlexW1971545855MaRDI QIDQ552519

Jianyong Qiao, Sumit K. Garg

Publication date: 26 July 2011

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2007.07.024

zbMATH Keywords

stabilityeigenvalue analysisnon-conservative systemCrandall gyropendulum

Mathematics Subject Classification ID

Holonomic systems related to the dynamics of a system of particles (70F20) Stability theory for ordinary differential equations (34D99) Motion of the gyroscope (70E05)

Related Items (5)

Steady-state dynamics of a non-ideal rotor with internal damping and gyroscopic effects ⋮ Brouwer's problem on a heavy particle in a rotating vessel: Wave propagation, ion traps, and rotor dynamics ⋮ Brouwer's rotating vessel. I: Stabilization ⋮ Unfolding the conical zones of the dissipation-induced subcritical flutter for the rotationally symmetrical gyroscopic systems ⋮ Active stabilization of rotors with circulating forces due to spinning dissipation

Cites Work

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• Gyroscopic stabilization of non-conservative systems
• Some studies on rotors with polynomial type non-linear external and internal damping
• Über die Instabilität konservativer Systeme mit gyroskopischen Kräften
• The effect of damping on the stability of gyroscopic pendulums
• A new analysis of the tippe top: Asymptotic states and Lyapunov stability
• Stability analysis of gyroscopic systems by matrix methods

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