Equilibrium stresses and rigidity for infinite tensegrities and frameworks

DOI10.1016/j.jmaa.2023.127655zbMath1529.52021arXiv2207.14369OpenAlexW4385737562MaRDI QIDQ6050986

Stephen C. Power

Publication date: 19 September 2023

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.14369

zbMATH Keywords

rigiditybar-joint frameworktensegrityequilibrium stressprestress stability

Mathematics Subject Classification ID

Kinematics of mechanisms and robots (70B15) Rigidity and flexibility of structures (aspects of discrete geometry) (52C25) Statics (70C20) Graph representations (geometric and intersection representations, etc.) (05C62)

Cites Work

• Unnamed Item
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• The rigidity of certain cabled frameworks and the second-order rigidity of arbitrary triangulated convex surfaces
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• The curve selection lemma and the Morse-Sard theorem
• Rigid and Flexible Frameworks
• Tensegrity Frameworks
• The Rigidity of Graphs
• Elementary proofs of Kempe universality
• Prestress Stability of Triangulated Convex Polytopes and Universal Second-Order Rigidity
• Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks
• Frameworks, Tensegrities, and Symmetry
• Coboundary operators for infinite frameworks
• Continuous curves from infinite Kempe linkages

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