When is a symmetric pin-jointed framework isostatic?

DOI10.1016/j.ijsolstr.2008.09.023zbMath1215.74041arXiv0803.2325OpenAlexW2962701985MaRDI QIDQ545028

Patrick W. Fowler, Walter J. Whiteley, Simon D. Guest, Bernd Schulze, Robert Connelly

Publication date: 22 June 2011

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0803.2325

zbMATH Keywords

frameworksisostatic

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thin bodies, structures (74K99)

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Cites Work

• A linear programming algorithm to test for jamming in hard-sphere packings
• Buckminster fuller's tensegrity structures and Clerk Maxwell's rules for the construction of stiff frames
• An algorithm for two-dimensional rigidity percolation: The pebble game
• A symmetry extension of Maxwell's rule for rigidity of frames
• Symmetry-adapted equilibrium matrices
• Symmetry and states of self-stress in triangulated toroidal frames.
• On graphs and rigidity of plane skeletal structures
• A symmetry-extended mobility rule
• Injective and non-injective realizations with symmetry
• A symmetry analysis of mechanisms in rotating rings of tetrahedra
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