Rigidity and flexibility analysis of a kind of surfaces of revolution and visualization

被引：1
|
作者：
Velimirovic, Ljubica S. [1 ]
Rancic, Svetozar R. [1 ]
Zlatanovic, Milan Lj. [1 ]
机构：
[1] Univ Nis, Fac Sci & Math, Nish 18000, Serbia
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2011年 / 217卷 / 09期
关键词：
Infinitesimal bending; Rigidity; Toroid;
D O I：
10.1016/j.amc.2010.11.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a class of toroids generated by a meridian in a shape of quadrangle in an arbitrary position to the axis of revolution. We give geometrical meaning of the non-rigidity condition based on the position of the diagonals of meridian. Special classes of quadrangular meridians (trapezium, parallelogram, deltoid,...) are discussed. The number of flexible toroids is considered. A tool SurfBend is developed for the rigidity and visualization. (C) 2010 Elsevier Inc. All rights reserved.
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页码：4612 / 4619
页数：8
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