Open AccessThe total torsion of knots under second order infinitesimal bending
Author(s) -
S Marija Najdanovic,
Ljubica S. Velimirović,
R Svetozar Rancic
Publication year - 2021
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) - infinitesimal , torsion (gastropod) , 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.