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.

引用

页码：4612 / 4619

页数：8

共 50 条

[31] Kind Term Rigidity and Property Identities
Fredrik Haraldsen
Philosophia, 2017, 45 : 1179 - 1193
[32] Kind Term Rigidity and Property Identities
Haraldsen, Fredrik
PHILOSOPHIA, 2017, 45 (03) : 1179 - 1193
[33] Against rigidity for natural kind terms
Stephen P. Schwartz
Synthese, 2021, 198 : 2957 - 2971
[34] Against rigidity for natural kind terms
Schwartz, Stephen P.
SYNTHESE, 2021, 198 (SUPPL 12) : 2957 - 2971
[35] Cartographic Surfaces: Interpolation, Analysis, Visualization
Wolf, Gert W.
MITTEILUNGEN DER OSTERREICHISCHEN GEOGRAPHISCHEN GESELLSCHAFT, 2016, 158 : 415 - 416
[36] MolMovDB: analysis and visualization of conformational change and structural flexibility
Echols, N
Milburn, D
Gerstein, M
NUCLEIC ACIDS RESEARCH, 2003, 31 (01) : 478 - 482
[37] Which Kind of Revolution?
Pierce, Donald J.
POLITICAL SCIENCE QUARTERLY, 1944, 59 (02) : 297 - 298
[38] Which Kind of Revolution?
Kallen, H. M.
ANNALS OF THE AMERICAN ACADEMY OF POLITICAL AND SOCIAL SCIENCE, 1944, 233 : 246 - 247
[39] Panel-point model for rigidity and flexibility analysis of rigid origami
Hayakawa, Kentaro
He, Zeyuan
Guest, Simon D.
COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS, 2024, 121
[40] RIGIDITY AND UNAMBIGUOUS DEFINITENESS OF CLOSED SURFACES OF KIND PARA GREATER THAN OR EQUAL TO 1 IN RIEMANNIAN SPACE
FOMENKO, VT
DOKLADY AKADEMII NAUK SSSR, 1973, 213 (01): : 45 - 48

← 1 2 3 4 5 →