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130947192.pdf | 351.41 kB | Adobe PDF | 見る/開く |
タイトル: | Infinitesimal Rigidity of Symmetric Bar-Joint Frameworks |
著者: | Schulze, Bernd Tanigawa, Shin-ichi |
著者名の別形: | 谷川, 眞一 |
発行日: | 16-Jul-2015 |
出版者: | Society for Industrial and Applied Mathematics |
誌名: | SIAM Journal on Discrete Mathematics |
巻: | 29 |
号: | 3 |
開始ページ: | 1259 |
終了ページ: | 1286 |
抄録: | 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. |
著作権等: | © 2015, Society for Industrial and Applied Mathematics |
URI: | http://hdl.handle.net/2433/202617 |
DOI(出版社版): | 10.1137/130947192 |
出現コレクション: | 学術雑誌掲載論文等 |
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