Mobility in Symmetry-Regular Bar-and-Joint Frameworks

DOI10.1007/978-1-4939-0781-6_7zbMath1320.52021OpenAlexW1531105624MaRDI QIDQ5261881

Bernd Schulze, Patrick W. Fowler, Simon D. Guest

Publication date: 8 July 2015

Published in: Rigidity and Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-1-4939-0781-6_7

zbMATH Keywords

symmetryframeworksinfinitesimal rigiditymechanisms

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Applications of group representations to physics and other areas of science (20C35)

Cites Work

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• When is a symmetric pin-jointed framework isostatic?
• The orbit rigidity matrix of a symmetric framework
• Block-diagonalized rigidity matrices of symmetric frameworks and applications
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• Symmetry as a Sufficient Condition for a Finite Flex
• Double–link expandohedra: a mechanical model for expansion of a virus
• A symmetry treatment of Danzerian rigidity for circle packing
• Mobility of ‘ N -loops’: bodies cyclically connected by intersecting revolute hinges
• Tensegrities and rotating rings of tetrahedra: a symmetry viewpoint of structural mechanics
• A symmetry analysis of mechanisms in rotating rings of tetrahedra

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