The total torsion of knots under second order infinitesimal bending | Zendy

Marija S. Najdanović | Zendy; Ljubica S. Velimirović | Zendy; Svetozar R. Rančić | Zendy

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The total torsion of knots under second order infinitesimal bending

Author(s) -

Marija S. Najdanović,

Ljubica S. Velimirović,

Svetozar R. Rančić

Publication year - 2020

Publication title -

applicable analysis and discrete mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.69

H-Index - 26

eISSN - 2406-100X

pISSN - 1452-8630

DOI - 10.2298/aadm200206035n

Subject(s) - torsion (gastropod) , infinitesimal , mathematics , bent molecular geometry , knot (papermaking) , geometry , mathematical analysis , structural engineering , composite material , medicine , materials science , surgery , engineering

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.

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