Frameworks, Tensegrities, and Symmetry

DOI10.1017/9780511843297OpenAlexW4205477633MaRDI QIDQ5014285

Robert Connelly, Simon D. Guest

Publication date: 1 December 2021

Full work available at URL: https://doi.org/10.1017/9780511843297

zbMATH Keywords

Cayley graphbarrepresentationdihedral grouprigidityequilibriumcircle packingconfigurationpermutation groupsymmetry groupenergy functionframeworkinfinitesimal rigiditycombinatorial rigidityflexible polyhedronself-stressstress matrixrigid frameworknodeHenneberg operationprestress stabilitypseudo-triangulationrigidity matrixinfinitesimally rigid frameworkglobally rigid frameworkFarkas alternativecarpenter's rule problemstatic rigidityflexible frameworkpebble gamesecond-order rigidityBricard octahedroninfinitesimal mechanismCauchy rigidity theoremprinciple of least energyisostatic symmetric frameworkkinematically determined frameworkMaxwell counting rulePeaucellier mechanismSnelson sculptureuniversally rigid frameworkWatt mechanism

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Thin bodies, structures (74K99) Computer graphics; computational geometry (digital and algorithmic aspects) (68U05) Granularity (74E20) 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) Research exposition (monographs, survey articles) pertaining to convex and discrete geometry (52-02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to mechanics of deformable solids (74-01)

Related Items (6)

Rigidity of Random Subgraphs and Eigenvalues of Stiffness Matrices ⋮ Equilibrium stresses and rigidity for infinite tensegrities and frameworks ⋮ On the Optimal Conductivity of Packed Two-Dimensional Dispersed Composites ⋮ On the existence of two affine-equivalent frameworks with prescribed edge lengths in Euclidean \(d \)-space ⋮ Global Rigidity of Unit Ball Graphs ⋮ Epsilon local rigidity and numerical algebraic geometry

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