学術雑誌論文 Infinitesimal Rigidity of Symmetric Bar-Joint Frameworks

Schulze, Bernd  ,  Tanigawa, Shin-ichi

29 ( 3 )  , pp.1259 - 1286 , 2015-07-16 , Society for Industrial and Applied Mathematics
ISSN:0895-4801
NII書誌ID(NCID):AA10701131
内容記述
We propose new symmetry-adapted rigidity matrices to analyze the infinitesimal rigidity of bar-joint frameworks of arbitrary-dimension with Abelian point group symmetries. These matrices define new symmetry-adapted rigidity matroids on group-labeled quotient graphs. Using these new tools, we establish combinatorial characterizations of infinitesimally rigid two-dimensional bar-joint frameworks whose joints are positioned as generically as possible subject to the symmetry constraints imposed by a reflection, a half-turn, or a threefold rotation in the plane. For bar-joint frameworks which are generic with respect to any other cyclic point group in the plane, we provide a number of necessary conditions for infinitesimal rigidity.
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http://repository.kulib.kyoto-u.ac.jp/dspace/bitstream/2433/202617/1/130947192.pdf

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