The total torsion of knots under second order infinitesimal bending

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2020-01-01 DOI:10.2298/aadm200206035n

Marija S. Najdanovic, L. Velimirović, Svetozar R. Rancic

引用次数: 1

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.

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二阶无穷小弯曲下结点的总扭转

本文研究了二阶曲线和结点的无穷小弯曲问题。讨论了二阶无穷小弯曲时的总扭转，给出了总扭转的一阶和二阶变化的表达式。一些例子旨在说明无穷小的弯曲节用图形。用颜色表示弯曲结点不同点处的扭转值，并用数值方法计算总扭转值。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).