Rigidity of Frameworks Supported on Surfaces

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Publication:4915197

DOI10.1137/110848852zbMATH Open1266.52018arXiv1009.3772OpenAlexW2963074634MaRDI QIDQ4915197

Author name not available (Why is that?)

Publication date: 9 April 2013

Published in: (Search for Journal in Brave)

Abstract: A theorem of Laman gives a combinatorial characterisation of the graphs that admit a realisation as a minimally rigid generic bar-joint framework in . A more general theory is developed for frameworks in whose vertices are constrained to move on a two-dimensional smooth submanifold M. Furthermore, when M is a union of concentric spheres, or a union of parallel planes or a union of concentric cylinders, necessary and sufficient combinatorial conditions are obtained for the minimal rigidity of generic frameworks.


Full work available at URL: https://arxiv.org/abs/1009.3772



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