A one-dimensional model endowed with an energy that generalizes Sadowsky’s is used to study ribbons subjected to a combination of traction and twist and to fully characterize the set of equilibrium configurations having constant curvatures. A stability analysis for the helicoidal configuration identifies a critical point at which spiral configurations branch out. A stability analysis then shows that the part of the helicoidal branch corresponding to tractions larger than the value identifying the critical point is stable.
On the stability of the helicoidal configuration in ribbons subjected to combined traction and twist
Barsotti R.;Paroni R.;
2022-01-01
Abstract
A one-dimensional model endowed with an energy that generalizes Sadowsky’s is used to study ribbons subjected to a combination of traction and twist and to fully characterize the set of equilibrium configurations having constant curvatures. A stability analysis for the helicoidal configuration identifies a critical point at which spiral configurations branch out. A stability analysis then shows that the part of the helicoidal branch corresponding to tractions larger than the value identifying the critical point is stable.File in questo prodotto:
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