Higher order infinitesimal bending of a class of toroids

Within this paper we consider the higher order infinitesimal bending of a surface in E 3 . The sufficient condition for a toroid generated by a polygonal meridian to be non-rigid of higher order is given. The work contained is an extension of the results of [2] and [13–18]. Examples of non-rigid sur...

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Bibliographic Details
Published in:European journal of combinatorics 2010-05, Vol.31 (4), p.1136-1147
Main Authors: Velimirovic, Ljubica S, Rancic, Svetozar R
Format: Article
Language:English
Subjects:
Bending
Combinatorial analysis
Representations
Toroids
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Summary:Within this paper we consider the higher order infinitesimal bending of a surface in E 3 . The sufficient condition for a toroid generated by a polygonal meridian to be non-rigid of higher order is given. The work contained is an extension of the results of [2] and [13–18]. Examples of non-rigid surfaces, with a visual representation of infinitesimal bending are provided.
ISSN:0195-6698
1095-9971
DOI:10.1016/j.ejc.2009.11.023