THE TOTAL TORSION OF KNOTS UNDER SECOND ORDER INFINITESIMAL BENDING

THE TOTAL TORSION OF KNOTS UNDER SECOND ORDER INFINITESIMAL BENDING

In this paper we consider infinitesimal bending of the second order of curves and knots. The total torsion of the knot during the second order infinitesimal bending is discussed and expressions for the first and the second variation of the total torsion are given. Some examples aimed to illustrate i...

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Veröffentlicht in:Applicable analysis and discrete mathematics 2021-10, Vol.15 (2), p.283-294
Hauptverfasser: Najdanovic, Marija S., Velimirovic, Ljubica S., Rancic, Svetozar R.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics, Applied
Physical Sciences
Science & Technology
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Zusammenfassung:In this paper we consider infinitesimal bending of the second order of curves and knots. The total torsion of the knot during the second order infinitesimal bending is discussed and expressions for the first and the second variation of the total torsion are given. Some examples aimed to illustrate infinitesimal bending of knots are shown using figures. Colors are used to illustrate torsion values at different points of bent knots and the total torsion is numerically calculated.
ISSN:1452-8630
2406-100X
DOI:10.2298/AADM200206035N