Higher-order rigidity -- what is the proper definition?

DOI10.1007/BF02574003zbMath0793.52005MaRDI QIDQ1317877

Robert Connelly, Herman J. Servatius

Publication date: 18 August 1994

Published in: Discrete \& Computational Geometry (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/131297

zbMATH Keywords

bar-and-joint frameworkshigher-order rigidity

Mathematics Subject Classification ID

Rigidity and flexibility of structures (aspects of discrete geometry) (52C25)

Related Items (11)

Symmetric prismatic tensegrity structures. I: Configuration and stability ⋮ Synthesis of kinematotropic parallel manipulators by inclusion of additional motion generators ⋮ Nonlinear algebra and applications ⋮ Prestress Stability of Triangulated Convex Polytopes and Universal Second-Order Rigidity ⋮ Rigidity of spherical codes ⋮ Infinitesimal and global rigidity and inflexibility of surfaces of revolution with flattening at the poles ⋮ Bending of surfaces. III ⋮ Higher order flexibility of octahedra ⋮ Enumerating Rigid Sphere Packings ⋮ Infinitesimal rigidity and prestress stability for frameworks in normed spaces ⋮ Epsilon local rigidity and numerical algebraic geometry

Cites Work

• Unnamed Item
• Underconstrained structural systems
• The rigidity of graphs. II
• The rigidity of certain cabled frameworks and the second-order rigidity of arbitrary triangulated convex surfaces
• Rigidity and energy
• Movement Problems for 2-Dimensional Linkages
• The Algebraic Geometry of Motions of Bar-and-Body Frameworks
• Second-Order Rigidity and Prestress Stability for Tensegrity Frameworks

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