Applicable Analysis and Discrete Mathematics
(University of Belgrade - School of Electrical Engineering)
•26 Oct 2021
THE TOTAL TORSION OF KNOTS UNDER SECOND ORDER INFINITESIMAL BENDING
Najdanović, Marija • Velimirović, Ljubica • Rančić, Svetozar
Abstract
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.
Funding
Ministry of Education, Science and Technological Development, Serbia [174012]
Author: Najdanović, Marija • Velimirović, Ljubica • Rančić, Svetozar
Issue: 2
Pages: 283-
294
ISSN: Printed version 1452-8630||Online version 2406-100X
doi: https://doi.org/10.2298/AADM200206035N
M kategorija: M21
Vrsta rada:clanak u casopisu
Funding: Ministry of Education, Science and Technological Development, Serbia [174012]
Abstract
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.