The rigidity of periodic body–bar frameworks on the three-dimensional fixed torus

Author:

Ross Elissa1

Affiliation:

1. Department of Mathematics and Statistics, York University, Toronto, Canada

Abstract

We present necessary and sufficient conditions for the generic rigidity of body–bar frameworks on the three-dimensional fixed torus. These frameworks correspond to infinite periodic body–bar frame-works in with a fixed periodic lattice.

Publisher

The Royal Society

Subject

General Physics and Astronomy,General Engineering,General Mathematics

Reference25 articles.

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2. Ross E. 2011 The geometric and combinatorial rigidity of periodic graphs. PhD thesis York University Toronto Canada. See http://www.math.yorku.ca/∼ejross/RossThesis.eps.

3. Malestein J& Theran L. 2010 Generic combinatorial rigidity of periodic frameworks. (http://arxiv.org/abs/1008.1837).

4. Rigidity of multi-graphs. I. Linking rigid bodies in n-space

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