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Internal dissipation in the Dzhanibekov effect.
- Source :
-
European Journal of Mechanics A: Solids . Jul2024, Vol. 106, pN.PAG-N.PAG. 1p. - Publication Year :
- 2024
-
Abstract
- The Dzhanibekov effect is the phenomenon by which triaxial objects like a spinning wing bolt may continuously flip their rotational axis when initially spinning around the intermediate axis of inertia. This effect is closely related to the Tennis Racket theorem that establishes that the intermediate axis of inertia is unstable. Over time, however, dissipation ensures that a torque free spinning body will eventually rotate around its major axis, in a process called precession relaxation, which counteracts the Dzhanibekov effect. Euler's equations for a rigid body effectively describe the Dzhanibekov effect, but cannot account for the precession relaxation effect. A dissipative generalization of Euler's equations displays two dissipative mechanisms: orientational diffusion and viscoelasticity. Here we show through numerical simulations of the dissipative Euler's equations that orientational diffusion, rather than viscoelasticity, primarily drives precession relaxation and effectively suppresses the Dzhanibekov effect. [Display omitted] • Numerical solution of the dissipative Euler's equations. • The Dzhanibekov effect is strongly affected by dissipation through precession relaxation. • Precession relaxation is governed by orientational diffusion. • Viscoelasticity is not responsible for precession relaxation. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EULER equations (Rigid dynamics)
*TENNIS rackets
*RIGID bodies
*VISCOELASTICITY
Subjects
Details
- Language :
- English
- ISSN :
- 09977538
- Volume :
- 106
- Database :
- Academic Search Index
- Journal :
- European Journal of Mechanics A: Solids
- Publication Type :
- Academic Journal
- Accession number :
- 177749287
- Full Text :
- https://doi.org/10.1016/j.euromechsol.2024.105298