Equilibria of plane convex bodies
Allemann, Jonas; Hungerbühler, Norbert; Wasem, Micha
2021

Résumé

We obtain a formula for the number of horizontal equilibria of a planar convex body K with respect to a center of mass O in terms of the winding number of the evolute of ∂K with respect to O. The formula extends to the case where O lies on the evolute of ∂K and a suitably modified version holds true for non-horizontal equilibria.

Détails

Titre Equilibria of plane convex bodies
Auteur(s)/ trice(s) Allemann, Jonas (IBM, Zürich, Switzerland)
Hungerbühler, Norbert (ETH Zürich, Zürich, Switzerland)
Wasem, Micha (School of Engineering and Architecture (HEIA-FR), HES-SO University of Applied Sciences Western Switzerland)
Date 2021-08
Publié dans Journal of Nonlinear Science
Volume 2021, vol. 31, article no. 86
Pagination 19 p.
DOI https://doi.org/10.1007/s00332-021-09740-2
ISSN 0938-8974
Mots-clés (libres) static equilibria ; convex bodies ; gömböc
Type d'article scientifique
Domaine Ingénierie et Architecture
Ecole HEIA-FR
Institut iSIS - Institut des systèmes intelligents et sécurisés
Le document apparaît dans Articles scientifiques
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